Grade 8 Math practice sheet
Prince Edward Island Curriculum · from Gradelings · Name: ______________________
Question 1
What is 15²?
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225
Hint: 15² means 15 × 15 = 225.
Question 2
Multiply.
(−3) × 4 = ?
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-12
Hint: Multiply the numbers, then use the signs: two negatives make a positive; one negative makes a negative.
Question 3
Add: 6/10 + 5/6. Type the answer as a fraction in lowest terms.
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43/30
Hint: Use a common denominator of 30: 18/30 + 25/30 = 43/30. Lowest terms: 43/30.
Question 4
A bag has 4 red marbles and 12 blue marbles. What is the ratio of red to blue in lowest terms?
- 1:4
- 2:4
- 1:3
- 3:1
- 4:12
1:3
Hint: Divide both parts by their greatest common factor, 4: 4 ÷ 4 = 1 and 12 ÷ 4 = 3.
Question 5
Solve for x: 4x + 5 = 37
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8
Hint: Undo the addition first: 4x = 37 − 5 = 32. Then divide by 4: x = 8.
Question 6
In the relation y = 6x − 3, by how much does y change each time x increases by 1?
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6
Hint: The number multiplying x is 6, so y changes by 6 for each step of 1 in x.
Question 7
Solve for x: 6(x − 1) = -30
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-4
Hint: Divide both sides by 6: x − 1 = -5. Then add 1: x = -4. Check: 6(-4 − 1) = -30.
Question 8
A right triangle has legs of 3 cm and 4 cm. How long is the hypotenuse?
answer boxcm
5 cm
Hint: c² = a² + b² = 9 + 16 = 25, so c = √25 = 5 cm.
Question 9
What is a net?
- a picture of an object from above
- a measure of the space inside an object
- a pattern of tiles with no gaps
- a flat pattern that folds up to make a 3-D object
a flat pattern that folds up to make a 3-D object
Hint: Unfold a box and lay it flat: that flat pattern is a net.
Question 10
A row of 3 cubes sits flat on a table. What is its top view?
- 6 squares
- 1 square
- 3 squares in a column
- 3 squares in a row
3 squares in a row
Hint: You see the top of each cube.
Answer key
- 1. 225 (Squares, Cubes & Roots)
- 2. -12 (Integer Operations)
- 3. 43/30 (Fraction Operations)
- 4. 1:3 (Ratios, Rates & Proportions)
- 5. 8 (Patterns & Two-Step Equations)
- 6. 6 (Tables, Graphs & Linear Relations)
- 7. -4 (Equations with Brackets)
- 8. 5 cm (Pythagorean Theorem)
- 9. a flat pattern that folds up to make a 3-D object (Nets & Views)
- 10. 3 squares in a row (Top, Front and Side Views)
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