[
    {
        "ch": "What is the order in which calculations are carried out?",
        "ansGr": [
            {
                "ans": [
                    "Bracket, Power and Root, Multiplication and Division, Addition and Subtraction.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Bracket, Multiplication and Division, Power and Root, Addition and Subtraction.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Bracket, Multiplication and Division, Addition and Subtraction, Power and Root.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is the first step of addition and subtraction of fractions?",
        "ansGr": [
            {
                "ans": [
                    "Finding the common denominator.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Finding the common numerator.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Finding the average of all denominator.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Concerning rounding off a decimal number, when the digit immediately to the right of the last retained digit is 5 or greater",
        "ansGr": [
            {
                "ans": [
                    "Last retained digit is added to 1.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Last retained digit is added to 2.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Last retained digit is not changed",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which way is used to express a ratio?",
        "ansGr": [
            {
                "ans": [
                    "A fraction, two number with a separater of a colon, two number with a separater of the word \"to\".",
                    "true"
                ]
            },
            {
                "ans": [
                    "A fraction, two number with a separater of minus mark, two number with a separater of the word \"to\".",
                    "false"
                ]
            },
            {
                "ans": [
                    "A fraction, two number with a separater of percent mark, two number with a separater of the word \"to\".",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "One part out of four is equal.",
        "ansGr": [
            {
                "ans": [
                    "25 percent.",
                    "true"
                ]
            },
            {
                "ans": [
                    "10 percent.",
                    "false"
                ]
            },
            {
                "ans": [
                    "40 percent.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Seven to the second power is referred as",
        "ansGr": [
            {
                "ans": [
                    "Seven squared.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Seven cubed.",
                    "false"
                ]
            },
            {
                "ans": [
                    "2 to the power of 7",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Any non-zero number raised to the zero power always equals",
        "ansGr": [
            {
                "ans": [
                    "1",
                    "true"
                ]
            },
            {
                "ans": [
                    "0",
                    "false"
                ]
            },
            {
                "ans": [
                    "-1",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is purpose of scientific notation?",
        "ansGr": [
            {
                "ans": [
                    "Express very large or very small numbers.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Express perfect square.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Express prime number.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is denominated numbers?",
        "ansGr": [
            {
                "ans": [
                    "Numbers that have a unit of measure associated with them",
                    "true"
                ]
            },
            {
                "ans": [
                    "The top number of a fraction.",
                    "false"
                ]
            },
            {
                "ans": [
                    "The bottom number of a fraction.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "If you write a digit \"0\" on the right of the last digit of a positive integer to form a new positive integer.",
        "ansGr": [
            {
                "ans": [
                    "New number is equal ten times of original number.",
                    "true"
                ]
            },
            {
                "ans": [
                    "New number is equal original number added to 10",
                    "false"
                ]
            },
            {
                "ans": [
                    "No definite relation between numbers",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Both a and b are even whole number and b divisible by a.",
        "ansGr": [
            {
                "ans": [
                    "Highest common factor of a and b is a.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Highest common factor of a and b is b.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Highest common factor of a and b is 2.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Work out the following sum: 4 {2 (5-1) -3} + 8",
        "ansGr": [
            {
                "ans": [
                    "28",
                    "true"
                ]
            },
            {
                "ans": [
                    "37",
                    "false"
                ]
            },
            {
                "ans": [
                    "54",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Multiplication of a non-zero whole number and reciprocal of itself",
        "ansGr": [
            {
                "ans": [
                    "Always equal to 1.",
                    "true"
                ]
            },
            {
                "ans": [
                    "always equal to this number itself.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Always equal to -1.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A whole number is divisible by 12 if",
        "ansGr": [
            {
                "ans": [
                    "The sum of its digits is divisible by 3 and the number formed by the two last digits is divisible by 4.",
                    "true"
                ]
            },
            {
                "ans": [
                    "The sum of its digits is divisible by 2 and the number formed by the two last digits is divisible by 6.",
                    "false"
                ]
            },
            {
                "ans": [
                    "The sum of its digits is divisible by 4 and the number formed by the two last digits is divisible by 3.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "If you subtract a negative integer from a positive integer",
        "ansGr": [
            {
                "ans": [
                    "You always get a positive integer.",
                    "true"
                ]
            },
            {
                "ans": [
                    "You always get a negative integer.",
                    "false"
                ]
            },
            {
                "ans": [
                    "You can get a positive or negative integer.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "The product of two integer is a positive integer if and only if",
        "ansGr": [
            {
                "ans": [
                    "Both of numbers are positive integer or negative integer.",
                    "true"
                ]
            },
            {
                "ans": [
                    "One of two number is positive integer and the other is negative integer.",
                    "false"
                ]
            },
            {
                "ans": [
                    "One of two number is positive integer and regardless of the other.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "An proper fraction.",
        "ansGr": [
            {
                "ans": [
                    "Always less than 1",
                    "true"
                ]
            },
            {
                "ans": [
                    "Always equal to or greater than 1",
                    "false"
                ]
            },
            {
                "ans": [
                    "Always can be writen as a mixed number",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which following one require a common denominator?",
        "ansGr": [
            {
                "ans": [
                    "Addition and subtraction of fractions.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Addition and multiplication of fractions.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Subtraction and division of fractions.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Regarding to reducing fraction, a fraction is in \"lowest terms\" if",
        "ansGr": [
            {
                "ans": [
                    "Both numerator and denominator are prime number",
                    "true"
                ]
            },
            {
                "ans": [
                    "Both numerator and denominator are even whole number.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Both numerator and denominator are odd whole number",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "If you write a digit \"0\" on the right of the last digit of a decimal (with decimal point) to form a new number.",
        "ansGr": [
            {
                "ans": [
                    "New number is equal original number.",
                    "true"
                ]
            },
            {
                "ans": [
                    "New number is equal ten times of original number",
                    "false"
                ]
            },
            {
                "ans": [
                    "No definite relation between numbers",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which following one require a vertical alignment of the decimal point?",
        "ansGr": [
            {
                "ans": [
                    "Addition and subtraction of decimal numbers.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Addition and multiplication of decimal numbers.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Subtraction and division of decimal numbers.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "If you round off a decimal number to the nearest hundredth.",
        "ansGr": [
            {
                "ans": [
                    "The rounded off number is not 5 thousandths greater than original number.",
                    "true"
                ]
            },
            {
                "ans": [
                    "The rounded off number can be 5 thousandths greater than original number.",
                    "false"
                ]
            },
            {
                "ans": [
                    "The rounded off number can be 5 thousandths less than original number.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Solve for X (unknown) in the proportion 16:80 = X/100",
        "ansGr": [
            {
                "ans": [
                    "20",
                    "true"
                ]
            },
            {
                "ans": [
                    "16",
                    "false"
                ]
            },
            {
                "ans": [
                    "40",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is average of all prime numbers that is not greater than 11?",
        "ansGr": [
            {
                "ans": [
                    "5.6",
                    "true"
                ]
            },
            {
                "ans": [
                    "4.25",
                    "false"
                ]
            },
            {
                "ans": [
                    "29/6",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "2 to the negative third power is equal",
        "ansGr": [
            {
                "ans": [
                    "1/8",
                    "true"
                ]
            },
            {
                "ans": [
                    "-8",
                    "false"
                ]
            },
            {
                "ans": [
                    "1/9",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Regarding to use of a fraction as the exponent to write a root, the cube root of a number is written with an exponent of",
        "ansGr": [
            {
                "ans": [
                    "1/3",
                    "true"
                ]
            },
            {
                "ans": [
                    "1/2",
                    "false"
                ]
            },
            {
                "ans": [
                    "1/4",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which following one is base quantity of second (a base unit)?",
        "ansGr": [
            {
                "ans": [
                    "Time",
                    "true"
                ]
            },
            {
                "ans": [
                    "Mass",
                    "false"
                ]
            },
            {
                "ans": [
                    "Length",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which following one is used to find the radius of a circle whose area is given?",
        "ansGr": [
            {
                "ans": [
                    "Division and square root",
                    "true"
                ]
            },
            {
                "ans": [
                    "Division and cube root",
                    "false"
                ]
            },
            {
                "ans": [
                    "Subtraction and power",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A rectangle is 11cm x 120cm. What is its area in m2 ?.",
        "ansGr": [
            {
                "ans": [
                    "0.132.",
                    "true"
                ]
            },
            {
                "ans": [
                    "1320.",
                    "false"
                ]
            },
            {
                "ans": [
                    "13.2.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Sum of two angles which is less than 90 degree of a right triangle is",
        "ansGr": [
            {
                "ans": [
                    "90 degree",
                    "true"
                ]
            },
            {
                "ans": [
                    "45 degree",
                    "false"
                ]
            },
            {
                "ans": [
                    "30 degree",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A parallelogram has a base 12 cm and height 11 cm. What is the area?.",
        "ansGr": [
            {
                "ans": [
                    "0.0132 m².",
                    "true"
                ]
            },
            {
                "ans": [
                    "1.32 m².",
                    "false"
                ]
            },
            {
                "ans": [
                    "0.132 cm²",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "The area of a trapezoid is",
        "ansGr": [
            {
                "ans": [
                    "Product of the perpendicular distance between the bases and average of bases.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Product of the perpendicular distance between the bases and sum of two base.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Product of the perpendicular distance between the bases and sum of sides.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which one can be found if wing surface area and wingspan are given?",
        "ansGr": [
            {
                "ans": [
                    "The chord of wing.",
                    "true"
                ]
            },
            {
                "ans": [
                    "The maximum width of the wing.",
                    "false"
                ]
            },
            {
                "ans": [
                    "The minimize width of the wing.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A rectangular solid has dimensions of 4 cm, 6 cm and 12 cm. What is its volume?.",
        "ansGr": [
            {
                "ans": [
                    "0.000288 m³",
                    "true"
                ]
            },
            {
                "ans": [
                    "288 m³",
                    "false"
                ]
            },
            {
                "ans": [
                    "2.88 m³",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A cylinder has a diameter of 20 cm and a length of 20 cm; 3.1 is referred to as pi, what is its volume?",
        "ansGr": [
            {
                "ans": [
                    "6200 cm³",
                    "true"
                ]
            },
            {
                "ans": [
                    "1240 cm³",
                    "false"
                ]
            },
            {
                "ans": [
                    "400 cm³",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is the voulume of a cone if the base is 8cm diameter and the height is 12cm, 3.1 is referred to as pi?.",
        "ansGr": [
            {
                "ans": [
                    "198.4 cm³",
                    "true"
                ]
            },
            {
                "ans": [
                    "297.6 cm³",
                    "false"
                ]
            },
            {
                "ans": [
                    "148.8 cm³",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which following one is correct?",
        "ansGr": [
            {
                "ans": [
                    "Algebra extends the concepts of arithmetic.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Arithmetic extends the concepts of algebra.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Algebra extends the concepts of geometry.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What does Algebra use to represent numbers and show relationships between them?",
        "ansGr": [
            {
                "ans": [
                    "Letters or symbols.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Graphs.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Charts.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Regarding to variable, which following one is correct",
        "ansGr": [
            {
                "ans": [
                    "Can change depending on the situation being considered.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Given to a value or number that is known.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Do not change in all the situation.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is the coefficient?",
        "ansGr": [
            {
                "ans": [
                    "A number appears in front of a letter or variable.",
                    "true"
                ]
            },
            {
                "ans": [
                    "A number appears on its own in algebra.",
                    "false"
                ]
            },
            {
                "ans": [
                    "A value or number that is not yet known.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "When adding algebraic terms",
        "ansGr": [
            {
                "ans": [
                    "You only combine like terms.",
                    "true"
                ]
            },
            {
                "ans": [
                    "You can always combine all terms.",
                    "false"
                ]
            },
            {
                "ans": [
                    "You can always combine consecutive terms.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which one is commutative?",
        "ansGr": [
            {
                "ans": [
                    "Addition.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Division.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Subtraction.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What happen if whatever is done on one side of an equation, also be done on the other side of the equation.",
        "ansGr": [
            {
                "ans": [
                    "Relationship between terms on each side of the \"=\" sign always remains the same.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Relationship between terms on each side of the \"=\" sign always change.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Relationship between terms on each side of the \"=\" sign can change.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which property of addition is shown in the expressions a + (b + c) = (a + b) + c?",
        "ansGr": [
            {
                "ans": [
                    "Associative",
                    "true"
                ]
            },
            {
                "ans": [
                    "Commutative",
                    "false"
                ]
            },
            {
                "ans": [
                    "Distributive",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which property of multiplication is shown in the expressions a x b = b x a",
        "ansGr": [
            {
                "ans": [
                    "Commutative",
                    "true"
                ]
            },
            {
                "ans": [
                    "Distributive",
                    "false"
                ]
            },
            {
                "ans": [
                    "Associative",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "If a = -1, b = 2 and c = 1, what is the value of the expression: a + b + c ?",
        "ansGr": [
            {
                "ans": [
                    "2",
                    "true"
                ]
            },
            {
                "ans": [
                    "3",
                    "false"
                ]
            },
            {
                "ans": [
                    "4",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "If a = 8 and b = -3, what is the value of the expression: a - b?",
        "ansGr": [
            {
                "ans": [
                    "11",
                    "true"
                ]
            },
            {
                "ans": [
                    "5",
                    "false"
                ]
            },
            {
                "ans": [
                    "-5",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "If a = 5 and b = -1, what is the value of the expression: a / b?",
        "ansGr": [
            {
                "ans": [
                    "-5",
                    "true"
                ]
            },
            {
                "ans": [
                    "5",
                    "false"
                ]
            },
            {
                "ans": [
                    "4",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "To solve for \"a\" in equation 4 x a = 24, divide both sides by",
        "ansGr": [
            {
                "ans": [
                    "4",
                    "true"
                ]
            },
            {
                "ans": [
                    "2",
                    "false"
                ]
            },
            {
                "ans": [
                    "24",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "To solve for \"a\" in equation a + 11 = 16, subtract both sides by",
        "ansGr": [
            {
                "ans": [
                    "11",
                    "true"
                ]
            },
            {
                "ans": [
                    "16",
                    "false"
                ]
            },
            {
                "ans": [
                    "5",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "To solve for \"a\" in equation a - 7 = 2, add both sides by",
        "ansGr": [
            {
                "ans": [
                    "7",
                    "true"
                ]
            },
            {
                "ans": [
                    "5",
                    "false"
                ]
            },
            {
                "ans": [
                    "2",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "To solve for \"a\" in equation a / 3 = 1, multiply both sides by",
        "ansGr": [
            {
                "ans": [
                    "3",
                    "true"
                ]
            },
            {
                "ans": [
                    "2",
                    "false"
                ]
            },
            {
                "ans": [
                    "1",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "If a = 4, b = -6 and c = 2, what is the value of the expression: a/c + 2b/c ?",
        "ansGr": [
            {
                "ans": [
                    "-4",
                    "true"
                ]
            },
            {
                "ans": [
                    "2",
                    "false"
                ]
            },
            {
                "ans": [
                    "4",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "If a = -12, b = -8, c = 4 and d = 6, what is the value of the expression: d/a x c/b ?",
        "ansGr": [
            {
                "ans": [
                    "1/4",
                    "true"
                ]
            },
            {
                "ans": [
                    "1",
                    "false"
                ]
            },
            {
                "ans": [
                    "-1/4",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "The rules for manipulating simple algebraic fractions are the same as",
        "ansGr": [
            {
                "ans": [
                    "The rules for manipulating numeric fractions.",
                    "true"
                ]
            },
            {
                "ans": [
                    "The rules for manipulating numeric fractions except for division.",
                    "false"
                ]
            },
            {
                "ans": [
                    "The rules for manipulating numeric fractions except for order of operations.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "After expanding brackets in equations, relationship between variables",
        "ansGr": [
            {
                "ans": [
                    "Always unchange.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Always change.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Can change.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Solve the following equation: 5x = 3x + 2.",
        "ansGr": [
            {
                "ans": [
                    "1",
                    "true"
                ]
            },
            {
                "ans": [
                    "5",
                    "false"
                ]
            },
            {
                "ans": [
                    "3",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "You can always write a quadratic equation as: (a,b,c are real numbers and a can not be zero)",
        "ansGr": [
            {
                "ans": [
                    "a(x+b)(x+c) = 0.",
                    "true"
                ]
            },
            {
                "ans": [
                    "a(x+b)(x+1) = 0.",
                    "false"
                ]
            },
            {
                "ans": [
                    "a(x+1)(x+c) = 0.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Factorise the following: 4x² -6x-28 = 0.",
        "ansGr": [
            {
                "ans": [
                    "(4x-14) (x+2).",
                    "true"
                ]
            },
            {
                "ans": [
                    "(2x+7) (x-2).",
                    "false"
                ]
            },
            {
                "ans": [
                    "(2x² +7) (x + 2).",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Solve the equation ut + at² = 0 for the two possible values of t.",
        "ansGr": [
            {
                "ans": [
                    "t=0, t=-u/a.",
                    "true"
                ]
            },
            {
                "ans": [
                    "t=0, t=a/u.",
                    "false"
                ]
            },
            {
                "ans": [
                    "t=0, t=u/a.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A quadratic equation has the real solution x = 6 and x = 9. Determine the equation which is satisfied by these solution.",
        "ansGr": [
            {
                "ans": [
                    "x² -15x+54=0.",
                    "true"
                ]
            },
            {
                "ans": [
                    "x² -54x+15=0.",
                    "false"
                ]
            },
            {
                "ans": [
                    "x² +15x-15=0.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Solve the equation x² + bx + c = 0, b² > 4c",
        "ansGr": [
            {
                "ans": [
                    "x= (-b – (b² – 4c)½)/ 2, x= (-b + (b² – 4c)½)/ 2.",
                    "true"
                ]
            },
            {
                "ans": [
                    "x= (-b – (b² + 4c)½)/ 2, x= (-b + (b² + 4c)½)/ 2.",
                    "false"
                ]
            },
            {
                "ans": [
                    "x= (b – (b² - 4c)½)/ 2, x= (b + (b² – 4c)½)/ 2.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Solve the simultaneous equations y = x + 2 and 3y + 2x = 6.",
        "ansGr": [
            {
                "ans": [
                    "x = 0, y = 2.",
                    "true"
                ]
            },
            {
                "ans": [
                    "x = 2, y = 0.",
                    "false"
                ]
            },
            {
                "ans": [
                    "x = 0, y = 0.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Solve the simultaneous equations 4x + 8y=64 and 2x - 8y=86",
        "ansGr": [
            {
                "ans": [
                    "x=25, y= -4.5.",
                    "true"
                ]
            },
            {
                "ans": [
                    "x=25, y= 4.5.",
                    "false"
                ]
            },
            {
                "ans": [
                    "x=-25, y= -4.5.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Solve the equations 2/x + 1/(x + 3) = 3",
        "ansGr": [
            {
                "ans": [
                    "x= -1 + 3(½), x= -1 - 3(½).",
                    "true"
                ]
            },
            {
                "ans": [
                    "x= -1 + 5(½), x= -1 - 5(½).",
                    "false"
                ]
            },
            {
                "ans": [
                    "x= -1 + 2(½), x= -1 - 2(½).",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Solve the equations 1/(x-2) + 1/(x-4) = 1",
        "ansGr": [
            {
                "ans": [
                    "x= 4 + 2(½), x= 4 - 2(½).",
                    "true"
                ]
            },
            {
                "ans": [
                    "x= 3 + 2(½), x= 3 - 2(½).",
                    "false"
                ]
            },
            {
                "ans": [
                    "x= 4 + 3(½), x= 4 - 3(½).",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "6⁷ divided by 12⁷ is equal to. .",
        "ansGr": [
            {
                "ans": [
                    "2(⁻⁷).",
                    "true"
                ]
            },
            {
                "ans": [
                    "1/64.",
                    "false"
                ]
            },
            {
                "ans": [
                    "1/256.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is (Y² x Y³ )³ ?",
        "ansGr": [
            {
                "ans": [
                    "Y¹⁵.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Y¹⁸.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Y¹⁶.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "(x+y)² ÷ (x + y)⁸ has a base and exponent of.",
        "ansGr": [
            {
                "ans": [
                    "(x+y)⁻⁶",
                    "true"
                ]
            },
            {
                "ans": [
                    "(x+y)¹⁄⁴",
                    "false"
                ]
            },
            {
                "ans": [
                    "(x+y)(⁻¹⁄⁴)",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "a^x = a^y, a>1 if and only if",
        "ansGr": [
            {
                "ans": [
                    "x= y",
                    "true"
                ]
            },
            {
                "ans": [
                    "x=y or x= -y",
                    "false"
                ]
            },
            {
                "ans": [
                    "x=y or x=1/y",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Solve the equation 99a^x = 100a^x -1, a> 10",
        "ansGr": [
            {
                "ans": [
                    "x = 0.",
                    "true"
                ]
            },
            {
                "ans": [
                    "x=0, x = -a",
                    "false"
                ]
            },
            {
                "ans": [
                    "x= 0, x= 1/a",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "log 9-log 3 is equal to.",
        "ansGr": [
            {
                "ans": [
                    "log 3.",
                    "true"
                ]
            },
            {
                "ans": [
                    "log 6.",
                    "false"
                ]
            },
            {
                "ans": [
                    "log 9.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Log 59,000 is equal to",
        "ansGr": [
            {
                "ans": [
                    "4.7745.",
                    "true"
                ]
            },
            {
                "ans": [
                    "0.77452.",
                    "false"
                ]
            },
            {
                "ans": [
                    "5.77452.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Given the log of A exceeds that of B by 4, find the correct statement about A and B.",
        "ansGr": [
            {
                "ans": [
                    "A is 1000 times the value of B.",
                    "true"
                ]
            },
            {
                "ans": [
                    "A is 4000 times the value of B.",
                    "false"
                ]
            },
            {
                "ans": [
                    "A is 10000 times the value of B.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Give the equation logX = 3 + Y. Rewrite the equation in exponent form",
        "ansGr": [
            {
                "ans": [
                    "X= 10^(3+Y).",
                    "true"
                ]
            },
            {
                "ans": [
                    "10^X = 3+Y.",
                    "false"
                ]
            },
            {
                "ans": [
                    "10^(X-Y) = 3.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "The formula for converting temperature in degrees Celsius (C) to degrees Fahrenheit (F) is F= 1.8C + 32. Temperature is 77 degree Fahrenheit, what is temperature in Celsius?",
        "ansGr": [
            {
                "ans": [
                    "25 degree.",
                    "true"
                ]
            },
            {
                "ans": [
                    "20 degree.",
                    "false"
                ]
            },
            {
                "ans": [
                    "35 degree.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Why is the binary number system used in digital electronics?",
        "ansGr": [
            {
                "ans": [
                    "The two basic conditions of electricity can represent the two digits of the binary number system.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Converting binary number to decimal number is easy.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Converting decimal number to binary number is easy.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Give a binary 10001, which following one is correct?",
        "ansGr": [
            {
                "ans": [
                    "Place value of digit at right of the first digit equal 8 times place value of the last digit.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Place value of digit at right of the first digit equal 16 times place value of the last digit.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Place value of the first digit and of the last digit equal 1.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "In binary number system, product of 1100 1000 1000 0011 and 100 equal",
        "ansGr": [
            {
                "ans": [
                    "11 0010 0010 0000 1100",
                    "true"
                ]
            },
            {
                "ans": [
                    "11 0010 0010 0000 1110",
                    "false"
                ]
            },
            {
                "ans": [
                    "11 0010 0010 0000 1111",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Why is octal number system considered as an abbreviated method of writing binary numbers?",
        "ansGr": [
            {
                "ans": [
                    "Octal numbers can be made from binary numbers by grouping consecutive binary digits into groups of three.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Octal numbers can be made from binary numbers by grouping consecutive binary digits into groups of two.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Octal numbers can be made from binary numbers by grouping consecutive binary digits into groups of four.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "100010 in binary is what number in decimal?",
        "ansGr": [
            {
                "ans": [
                    "34",
                    "true"
                ]
            },
            {
                "ans": [
                    "18",
                    "false"
                ]
            },
            {
                "ans": [
                    "64",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "AE in hexadecimal is what number in binary?",
        "ansGr": [
            {
                "ans": [
                    "1010 1110.",
                    "true"
                ]
            },
            {
                "ans": [
                    "1010 1100.",
                    "false"
                ]
            },
            {
                "ans": [
                    "1110 1110.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "206 in decimal is what number in hexadecimal",
        "ansGr": [
            {
                "ans": [
                    "CE.",
                    "true"
                ]
            },
            {
                "ans": [
                    "C8.",
                    "false"
                ]
            },
            {
                "ans": [
                    "D2.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is the highest power of variable in a linear equation?",
        "ansGr": [
            {
                "ans": [
                    "1",
                    "true"
                ]
            },
            {
                "ans": [
                    "2",
                    "false"
                ]
            },
            {
                "ans": [
                    "3",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What does a linear equation form when plotted on a graph?",
        "ansGr": [
            {
                "ans": [
                    "A straight line",
                    "true"
                ]
            },
            {
                "ans": [
                    "A parabol",
                    "false"
                ]
            },
            {
                "ans": [
                    "A curved line",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which of the following is correct when solving a linear equation?",
        "ansGr": [
            {
                "ans": [
                    "Place the unknown variable on one side and the numbers on the other side",
                    "true"
                ]
            },
            {
                "ans": [
                    "Keep the variable and numbers on the same side of the equation",
                    "false"
                ]
            },
            {
                "ans": [
                    "Move all terms to the right side of the equation",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "How many digits does the binary number system have?",
        "ansGr": [
            {
                "ans": [
                    "2",
                    "true"
                ]
            },
            {
                "ans": [
                    "10",
                    "false"
                ]
            },
            {
                "ans": [
                    "16",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "How many digits does the hexadecimal number system have?",
        "ansGr": [
            {
                "ans": [
                    "16",
                    "true"
                ]
            },
            {
                "ans": [
                    "10",
                    "false"
                ]
            },
            {
                "ans": [
                    "8",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which of the following scenarios describes simultaneous equations with no solution?",
        "ansGr": [
            {
                "ans": [
                    "The solution lines for the equations are parallel and don't intersect on a graph",
                    "true"
                ]
            },
            {
                "ans": [
                    "The solution lines for the equations intersect at a single point on a graph",
                    "false"
                ]
            },
            {
                "ans": [
                    "The solution lines for the equations overlap on a graph",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "When a logarithm is written without a base, it is implied that the base is",
        "ansGr": [
            {
                "ans": [
                    "10",
                    "true"
                ]
            },
            {
                "ans": [
                    "0",
                    "false"
                ]
            },
            {
                "ans": [
                    "1",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "If a wheel of radius R revolves 1/2 a turn, how many radians does it turn through?",
        "ansGr": [
            {
                "ans": [
                    "π radians.",
                    "true"
                ]
            },
            {
                "ans": [
                    "2π radians.",
                    "false"
                ]
            },
            {
                "ans": [
                    "2R2 radians.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which type of angle measures less than 90 degrees?",
        "ansGr": [
            {
                "ans": [
                    "Acute Angle",
                    "true"
                ]
            },
            {
                "ans": [
                    "Right Angle",
                    "false"
                ]
            },
            {
                "ans": [
                    "Obtuse Angle",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which type of angle measures exactly 90 degrees?",
        "ansGr": [
            {
                "ans": [
                    "Right Angle",
                    "true"
                ]
            },
            {
                "ans": [
                    "Obtuse Angle",
                    "false"
                ]
            },
            {
                "ans": [
                    "Straight Angle",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A full circle is divided into",
        "ansGr": [
            {
                "ans": [
                    "360°",
                    "true"
                ]
            },
            {
                "ans": [
                    "180°",
                    "false"
                ]
            },
            {
                "ans": [
                    "90°",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A degree is divided into",
        "ansGr": [
            {
                "ans": [
                    "60 minutes",
                    "true"
                ]
            },
            {
                "ans": [
                    "90 minutes",
                    "false"
                ]
            },
            {
                "ans": [
                    "180 minutes",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which concept is defined to be equivalent to the angle subtended at the center of a circle by an arc equal in length to the radius?",
        "ansGr": [
            {
                "ans": [
                    "One radian",
                    "true"
                ]
            },
            {
                "ans": [
                    "One degree",
                    "false"
                ]
            },
            {
                "ans": [
                    "One minute",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is the radian equivalent of 180 degrees?",
        "ansGr": [
            {
                "ans": [
                    "π",
                    "true"
                ]
            },
            {
                "ans": [
                    "2π",
                    "false"
                ]
            },
            {
                "ans": [
                    "π/2",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is the radian equivalent of 90 degrees?",
        "ansGr": [
            {
                "ans": [
                    "π/2",
                    "true"
                ]
            },
            {
                "ans": [
                    "π",
                    "false"
                ]
            },
            {
                "ans": [
                    "2π",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is the radian equivalent of 360 degrees?",
        "ansGr": [
            {
                "ans": [
                    "2π",
                    "true"
                ]
            },
            {
                "ans": [
                    "π",
                    "false"
                ]
            },
            {
                "ans": [
                    "π/2",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which one is the most effective method for presenting relationship between two or more quantities??",
        "ansGr": [
            {
                "ans": [
                    "Graphs and charts.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Written descriptions.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Tables.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What does interpretation of two variables graph mean?",
        "ansGr": [
            {
                "ans": [
                    "Determining unknown variable when a variable is known.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Constructing the relationship between two variables.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Determining unknown variable when a variable is zero.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "How many axes does a Cartesian coordinate system have?",
        "ansGr": [
            {
                "ans": [
                    "2",
                    "true"
                ]
            },
            {
                "ans": [
                    "3",
                    "false"
                ]
            },
            {
                "ans": [
                    "4",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "y is a function of x. It means:",
        "ansGr": [
            {
                "ans": [
                    "There is an equation that links x and y.",
                    "true"
                ]
            },
            {
                "ans": [
                    "If x increase y will increase.",
                    "false"
                ]
            },
            {
                "ans": [
                    "If x increase y will decrease.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is the general form of a linear function?",
        "ansGr": [
            {
                "ans": [
                    "y = mx + c.",
                    "true"
                ]
            },
            {
                "ans": [
                    "y = mx² + c.",
                    "false"
                ]
            },
            {
                "ans": [
                    "y = mx + c.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is the general form of a quadratic function?",
        "ansGr": [
            {
                "ans": [
                    "y = ax² +bx+c.",
                    "true"
                ]
            },
            {
                "ans": [
                    "y = mx² + c.",
                    "false"
                ]
            },
            {
                "ans": [
                    "ax² +by²=c.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Given a point on the rectangular coordinate system that is presented as (x, y). If product x and y is greater zero, the point locate in:",
        "ansGr": [
            {
                "ans": [
                    "The First or Third quadrant.",
                    "true"
                ]
            },
            {
                "ans": [
                    "The First or Second quadrant.",
                    "false"
                ]
            },
            {
                "ans": [
                    "The Second quadrant.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which ordered pair locate a point in fourth quadrant of a rectangular coordinate system.",
        "ansGr": [
            {
                "ans": [
                    "(5, -10).",
                    "true"
                ]
            },
            {
                "ans": [
                    "(-10, 5).",
                    "false"
                ]
            },
            {
                "ans": [
                    "(-10, -5)",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which point is used to plot graph of the function y = 3x +4",
        "ansGr": [
            {
                "ans": [
                    "(1, 7).",
                    "true"
                ]
            },
            {
                "ans": [
                    "(-1, -7).",
                    "false"
                ]
            },
            {
                "ans": [
                    "(0, 0).",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is the equation of a straight line that passes through the two points (1, 1) and (0, -2)?",
        "ansGr": [
            {
                "ans": [
                    "y = 3x - 2.",
                    "true"
                ]
            },
            {
                "ans": [
                    "y = 5x - 4.",
                    "false"
                ]
            },
            {
                "ans": [
                    "y = 2x - 2.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "How many times does the graph of y= ax + b cross graph of y= (a + 1)x + c",
        "ansGr": [
            {
                "ans": [
                    "1",
                    "true"
                ]
            },
            {
                "ans": [
                    "0",
                    "false"
                ]
            },
            {
                "ans": [
                    "2",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "The line with equation x = 3 is.",
        "ansGr": [
            {
                "ans": [
                    "Parallel to the y axis.",
                    "true"
                ]
            },
            {
                "ans": [
                    "At 45 degree to both axes.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Parallel to the x axis.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A straight line graph has the equation 3y = 12x – 3. What is the gradient?",
        "ansGr": [
            {
                "ans": [
                    "4",
                    "true"
                ]
            },
            {
                "ans": [
                    "1/4.",
                    "false"
                ]
            },
            {
                "ans": [
                    "1/12.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "What is the gradient of graph of a linear function that parallel to x-axis",
        "ansGr": [
            {
                "ans": [
                    "0",
                    "true"
                ]
            },
            {
                "ans": [
                    "1",
                    "false"
                ]
            },
            {
                "ans": [
                    "-1",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "The graph of a linear function have two points (9, 3) and (3, 1). What is the slope?",
        "ansGr": [
            {
                "ans": [
                    "1/3.",
                    "true"
                ]
            },
            {
                "ans": [
                    "1/4.",
                    "false"
                ]
            },
            {
                "ans": [
                    "1/5.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Graph of a linear function parallel to x-axis and have a y-axis intercept of 2. What is this function?",
        "ansGr": [
            {
                "ans": [
                    "y = 2.",
                    "true"
                ]
            },
            {
                "ans": [
                    "y = 2x.",
                    "false"
                ]
            },
            {
                "ans": [
                    "y = x + 2.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Two graphs of linear function that have same y-axis intercept and sum of gradients equal zero are",
        "ansGr": [
            {
                "ans": [
                    "Symmetric each other (y axis is symmetry axis)",
                    "true"
                ]
            },
            {
                "ans": [
                    "Parallel each other.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Perpendicular each other.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "How many times does the x-axis get crossed when y = x² -3",
        "ansGr": [
            {
                "ans": [
                    "2",
                    "true"
                ]
            },
            {
                "ans": [
                    "1",
                    "false"
                ]
            },
            {
                "ans": [
                    "3",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which quadratic function have a minimum point?",
        "ansGr": [
            {
                "ans": [
                    "y = x² + 2x + 7.",
                    "true"
                ]
            },
            {
                "ans": [
                    "y = -x² + 2x + 7.",
                    "false"
                ]
            },
            {
                "ans": [
                    "y = -x² + 7.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "How many times does a graph of quadratic function cross x-axis?",
        "ansGr": [
            {
                "ans": [
                    "Not more than 2.",
                    "true"
                ]
            },
            {
                "ans": [
                    "Always 2.",
                    "false"
                ]
            },
            {
                "ans": [
                    "Not less than 1.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which following one is correct?",
        "ansGr": [
            {
                "ans": [
                    "tan(y) = sin(y) / cos(y).",
                    "true"
                ]
            },
            {
                "ans": [
                    "tan(y) = sin(y) x cos(y).",
                    "false"
                ]
            },
            {
                "ans": [
                    "tan(y) = cos(y) / sin(y)",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A right-angled triangle has sides of 3 inches and 4 inches, what will the third side (hypotenuse) be?",
        "ansGr": [
            {
                "ans": [
                    "5 inches.",
                    "true"
                ]
            },
            {
                "ans": [
                    "5.5 inches.",
                    "false"
                ]
            },
            {
                "ans": [
                    "6 inches.",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which one is correct?",
        "ansGr": [
            {
                "ans": [
                    "sin²(x) + cos²(x) = 1",
                    "true"
                ]
            },
            {
                "ans": [
                    "sin²(x) + cos²(x) = tan²(x)",
                    "false"
                ]
            },
            {
                "ans": [
                    "sin²(x) + cos²(x) + tan²(x) = 1",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A right triangle has 03 angles A, B and C (C is a 90o angle). Which following one is correct?",
        "ansGr": [
            {
                "ans": [
                    "sin A = cos B",
                    "true"
                ]
            },
            {
                "ans": [
                    "sin A = sin B",
                    "false"
                ]
            },
            {
                "ans": [
                    "sin A = tan B",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A right triangle has 03 angles A, B and C (C is a 90o angle). Which following one is NOT correct?",
        "ansGr": [
            {
                "ans": [
                    "sin A - cos B =1",
                    "true"
                ]
            },
            {
                "ans": [
                    "sin² A + sin² B = 1",
                    "false"
                ]
            },
            {
                "ans": [
                    "sin C - cos C = 1",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A right triangle has 03 angles A, B and C (C is a 90o angle). The length sides are AB = 2 inches and BC = 1 inch. What is the measure of angle A?",
        "ansGr": [
            {
                "ans": [
                    "30°",
                    "true"
                ]
            },
            {
                "ans": [
                    "45°",
                    "false"
                ]
            },
            {
                "ans": [
                    "60°",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A right triangle has 03 angles A, B and C (C is a 90o angle). The length sides are BC = 3 inches and AC = 4 inch. Which following one is correct?",
        "ansGr": [
            {
                "ans": [
                    "tan A = 0.75",
                    "true"
                ]
            },
            {
                "ans": [
                    "cos B = 0.6",
                    "false"
                ]
            },
            {
                "ans": [
                    "sin C = 0",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "A triangle has 03 angles A, B and C. The length sides are AB = 5 inches, BC = 12 inch and AC = 13 inches. Which angle has a measure of 90 degrees?",
        "ansGr": [
            {
                "ans": [
                    "B",
                    "true"
                ]
            },
            {
                "ans": [
                    "C",
                    "false"
                ]
            },
            {
                "ans": [
                    "A",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "In a triangle, the length of the hypotenuse and the side have 17 inches and 8 inches values, respectively. What is the length of the other side?",
        "ansGr": [
            {
                "ans": [
                    "15 inches",
                    "true"
                ]
            },
            {
                "ans": [
                    "13 inches",
                    "false"
                ]
            },
            {
                "ans": [
                    "14 inches",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which following one is correct for two trigonometric graphs y1 = sin x and y2 = 2 sin x ?",
        "ansGr": [
            {
                "ans": [
                    "y1 and y2 have the same wavelength",
                    "true"
                ]
            },
            {
                "ans": [
                    "y1 and y2 have the same value at x equal to π/2",
                    "false"
                ]
            },
            {
                "ans": [
                    "y1 and y2 have the same amplitude",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "Which amplitude does the graph of y = 3 sin x have?",
        "ansGr": [
            {
                "ans": [
                    "3",
                    "true"
                ]
            },
            {
                "ans": [
                    "2",
                    "false"
                ]
            },
            {
                "ans": [
                    "1",
                    "false"
                ]
            }
        ]
    },
    {
        "ch": "The line has 3 units along the x-axis and 4 units up the y-axis. Which is the length of the line?",
        "ansGr": [
            {
                "ans": [
                    "5",
                    "true"
                ]
            },
            {
                "ans": [
                    "4",
                    "false"
                ]
            },
            {
                "ans": [
                    "3",
                    "false"
                ]
            }
        ]
    }
]