Grade 8 Math practice sheet
Ontario Curriculum · from Gradelings · Name: ______________________
Question 1
Which number is rational?
- √2
- √3
- 0.25
- π
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0.25
Hint: A rational number can be written as a fraction of two integers. Square roots of perfect squares, like √49 = 7, are rational.
Question 2
What is 15²?
answer box
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225
Hint: 15² means 15 × 15 = 225.
Question 3
Multiply.
(−3) × 4 = ?
answer box
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-12
Hint: Multiply the numbers, then use the signs: two negatives make a positive; one negative makes a negative.
Question 4
Add: 6/10 + 5/6. Type the answer as a fraction in lowest terms.
answer box
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43/30
Hint: Use a common denominator of 30: 18/30 + 25/30 = 43/30. Lowest terms: 43/30.
Question 5
Write 5/4 as a percent.
answer box%
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125 %
Hint: Divide 5 ÷ 4 to get a decimal, then multiply by 100.
Question 6
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
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1:3
Hint: Divide both parts by their greatest common factor, 4: 4 ÷ 4 = 1 and 12 ÷ 4 = 3.
Question 7
A growing pattern is shown in the table. What is the initial value (the value when n = 0)?
Term (n) Value 1 20 2 29 3 38 4 47 answer box
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11
Hint: The value goes up by 9 each term. Work backwards from term 1: 20 − 9 = 11.
Question 8
Solve the inequality.
3x + 1 > −14
- x > −5
- x ≥ −5
- x < −5
- x > −15
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x > −5
Hint: Solve like an equation. The sign stays the same when you divide by a positive number.
Question 9
Solve for x: 4x + 5 = 37
answer box
Show answer
8
Hint: Undo the addition first: 4x = 37 − 5 = 32. Then divide by 4: x = 8.
Question 10
What is the purpose of an infographic?
- to replace the data collection
- to tell a story about data using tables, graphs and images
- to list raw data with no explanation
- to hide small values
Show answer
to tell a story about data using tables, graphs and images
Hint: An infographic combines visuals and text to communicate the main message.
Answer key
- 1. 0.25 (Big, Small & Real Numbers)
- 2. 225 (Squares, Cubes & Roots)
- 3. -12 (Integer Operations)
- 4. 43/30 (Fraction Operations)
- 5. 125 % (Percents Beyond 100)
- 6. 1:3 (Ratios, Rates & Proportions)
- 7. 11 (Growing & Shrinking Patterns)
- 8. x > −5 (Algebra Workshop)
- 9. 8 (Patterns & Two-Step Equations)
- 10. to tell a story about data using tables, graphs and images (Scatter Plots & Stories)
Want more than 10 questions?
In Gradelings the questions change every time and adjust to your child, with hints and kind feedback. See all math units.