Grade 8 Math practice sheet
Yukon Curriculum · from Gradelings · Name: ______________________
Question 1
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 2
What is 15²?
answer box
225
Hint: 15² means 15 × 15 = 225.
Question 3
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 4
What is 75% of 120?
answer box
90
Hint: 75% = 75/100. 75/100 × 120 = 90.
Question 5
Solve for x: 4x + 5 = 37
answer box
8
Hint: Undo the addition first: 4x = 37 − 5 = 32. Then divide by 4: x = 8.
Question 6
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 7
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 8
A shop sells 3 kinds of shirts and 3 kinds of pants. How many different outfits can you make with one of each?
answer box
9
Hint: Multiply the choices: 3 × 3 = 9.
Question 9
Subtract: 7/9 − 1/3. Type the answer in lowest terms.
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4/9
Hint: Common denominator 9: 7/9 − 3/9 = 4/9, which is 4/9 in lowest terms.
Question 10
What is √196?
answer box
14
Hint: Which number multiplied by itself makes 196? 14 × 14 = 196, so √196 = 14.
Answer key
- 1. 43/30 (Fraction Operations)
- 2. 225 (Squares, Cubes & Roots)
- 3. 1:3 (Ratios, Rates & Proportions)
- 4. 90 (Percents & Money)
- 5. 8 (Patterns & Two-Step Equations)
- 6. 5 cm (Pythagorean Theorem)
- 7. 126 cm² (Surface Area & Volume)
- 8. 9 (Probability & Data)
- 9. 4/9 (Fraction Operations)
- 10. 14 (Squares, Cubes & Roots)
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