Grade 8 Math practice sheet
Nunavut Curriculum · from Gradelings · Name: ______________________
Question 1
Which of these is a perfect square?
- 17
- 18
- 15
- 16
16
Hint: A perfect square is a whole number times itself. 4 × 4 = 16.
Question 2
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 3
Add: 6/10 + 5/6. Type the answer as a fraction in lowest terms.
answer box
43/30
Hint: Use a common denominator of 30: 18/30 + 25/30 = 43/30. Lowest terms: 43/30.
Question 4
Multiply.
(−3) × 4 = ?
answer box
-12
Hint: Multiply the numbers, then use the signs: two negatives make a positive; one negative makes a negative.
Question 5
In the relation y = 6x − 3, by how much does y change each time x increases by 1?
answer box
6
Hint: The number multiplying x is 6, so y changes by 6 for each step of 1 in x.
Question 6
Solve for x: 6(x − 1) = -30
answer box
-4
Hint: Divide both sides by 6: x − 1 = -5. Then add 1: x = -4. Check: 6(-4 − 1) = -30.
Question 7
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 8
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 9
A box is 6 cm long, 5 cm wide and 3 cm tall. What is its surface area?
answer boxcm²
126 cm²
Hint: Add the areas of the 3 pairs of faces: 2 × (6×5 + 6×3 + 5×3) = 2 × 63 = 126 cm².
Question 10
Which of these keeps a shape congruent?
- stretching it taller
- sliding it
- shrinking it to half its size
- enlarging it to double its size
sliding it
Hint: Slides, flips and turns move a shape without changing its size or shape.
Answer key
- 1. 16 (Squares & Square Roots)
- 2. 1:3 (Ratios, Rates & Proportions)
- 3. 43/30 (Fraction Operations)
- 4. -12 (Integer Operations)
- 5. 6 (Tables, Graphs & Linear Relations)
- 6. -4 (Equations with Brackets)
- 7. 5 cm (Pythagorean Theorem)
- 8. a flat pattern that folds up to make a 3-D object (Nets & Views)
- 9. 126 cm² (Surface Area & Volume)
- 10. sliding it (Congruent Shapes)
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