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)

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 ______________.

8/10 Signup and view all the answers

Match the following mathematical concepts with their correct definitions:

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. Signup and view all the answers

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

x = 6 Signup and view all the answers

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

True Signup and view all the answers

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

30 cm² 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 ______________.

5/15 Signup and view all the answers

Match the mathematical concepts with their correct definitions:

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. Signup and view all the answers

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

33 Signup and view all the answers

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

True Signup and view all the answers

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

30 km/h 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?

12 Signup and view all the answers

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

True Signup and view all the answers

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

x = 4 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 ______________.

3/9 Signup and view all the answers

Match the following equations with their solutions:

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 Signup and view all the answers

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

77 Signup and view all the answers

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

31/40 Signup and view all the answers

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

True 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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Description

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