8th Grade Victorian Selective Math Test Questions
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Questions and Answers

What is the next term in the arithmetic sequence 4, 7, 10, 13,...?

  • 16 (correct)
  • 17
  • 19
  • 20

    • The ratio of the number of boys to girls in a class is 3:4, and there are 21 boys in the class.

    False

    Solve for x: 2x + 3 = 11

    x = 4

    The probability of drawing a red or blue ball from a box is ______________.

    <p>8/10</p> Signup and view all the answers

    Match the following mathematical concepts with their correct definitions:

    <p>Equation = A statement that says two expressions are equal. Ratio = A comparison of two quantities by division. Probability = A number that shows the likelihood of an event. Geometry = The study of shapes, sizes, and positions of objects.</p> Signup and view all the answers

    Solve for x: 5x - 4 = 2x + 8

    <p>x = 6</p> Signup and view all the answers

    The triangle with sides 8 cm, 15 cm, and 17 cm is a right triangle.

    <p>True</p> Signup and view all the answers

    Find the area of a triangle with base 10 cm and height 6 cm.

    <p>30 cm²</p> Signup and view all the answers

    The probability of drawing a green ball from a box containing 6 red balls, 4 blue balls, and 5 green balls is ______________.

    <p>5/15</p> Signup and view all the answers

    Match the mathematical concepts with their correct definitions:

    <p>Arithmetic Sequence = A sequence of numbers in which each term after the first is obtained by adding a fixed number. Right Triangle = A triangle with one right angle (90-degree angle). Probability = A measure of the chance of an event occurring.</p> Signup and view all the answers

    What is the 12th term of the arithmetic sequence 3, 8, 13, 18,...?

    <p>33</p> Signup and view all the answers

    The expression (2/3) + (4/5) - (1/2) simplifies to 11/30.

    <p>True</p> Signup and view all the answers

    A cyclist travels 60 km in 2 hours. What is the average speed in km/h?

    <p>30 km/h</p> Signup and view all the answers

    If the ratio of apples to oranges in a basket is 3:5, what is the total number of apples if there are 40 fruits in total?

    <p>12</p> Signup and view all the answers

    The triangle with sides 5 cm, 12 cm, and 13 cm is a right triangle.

    <p>True</p> Signup and view all the answers

    Solve for x: 6x - 5 = 3x + 11

    <p>x = 4</p> Signup and view all the answers

    The probability of drawing a blue ball from a box with 8 red balls, 6 blue balls, and 4 green balls is ______________.

    <p>3/9</p> Signup and view all the answers

    Match the following equations with their solutions:

    <p>4x + y = 11 = x = 2, y = 3 2x - y = 1 = x = 1, y = 2 6x - 5 = 3x + 11 = x = 4 3y + 8 = 2y + 14 = y = 6</p> Signup and view all the answers

    The 20th term of the arithmetic sequence 1, 5, 9, 13,... is

    <p>77</p> Signup and view all the answers

    Simplify the expression: 7/8 + 2/5 - 3/10

    <p>31/40</p> Signup and view all the answers

    The triangle with sides 10 cm, 24 cm, and 26 cm is a right triangle.

    <p>True</p> Signup and view all the answers

    Study Notes

    Algebra

    • Solve for x: 3x - 7 = 2x + 5, x = 12

    Geometry

    • Check if a triangle is a right triangle: sides 7 cm, 24 cm, and 25 cm (Yes, it is a right triangle)

    Probability

    • Probability of drawing a red or blue ball: P(red or blue) = (5 + 3)/10 = 8/10 = 4/5

    Fractions

    • Simplify the expression: (3/4) + (5/6) - (1/3) = (9/12) + (10/12) - (4/12) = 15/12 = 5/4

    Number Patterns

    • Find the 10th term of the arithmetic sequence 4, 7, 10, 13,...: 4 + (10-1) × 3 = 4 + 27 = 31

    Percentages

    • Calculate the sale price of a shirt: original price 60,2560, 25% off = 60,2560 × 0.75 = $45

    Word Problems

    • Average speed of a car: distance 150 km, time 3 hours, speed = 150/3 = 50 km/h

    Area and Perimeter

    • Calculate the area and perimeter of a rectangle: length 10 cm, width 6 cm, area = 10 × 6 = 60 cm², perimeter = 2(10 + 6) = 32 cm

    Ratios

    • Number of boys in a class: ratio of boys to girls is 3:4, total students 28, number of boys = (3/7) × 28 = 12

    Simultaneous Equations

    • Solve the simultaneous equations: 2x + 3y = 12, x - y = 3, solution x = 3, y = 0

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    Practice math test questions for 8th grade students in Victoria, covering algebra, geometry, probability, and fractions. Test your math skills with these challenging questions!

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