Grade 7 Math practice sheet
Ontario Curriculum · from Gradelings · Name: ______________________
Question 1
Which shows 600 450 000 in expanded form with powers of ten?
- 6 × 10⁸ + 4 × 10⁵ + 5 × 10⁴
- 6 × 10⁹ + 4 × 10⁶ + 5 × 10⁵
- 6 × 10⁷ + 4 × 10⁴ + 5 × 10³
Show answer
6 × 10⁸ + 4 × 10⁵ + 5 × 10⁴
Hint: Each digit is multiplied by 10 raised to its place value: 100 = 10², 1000 = 10³, and so on.
Question 2
Bus A leaves every 15 minutes and Bus B every 20 minutes. They leave together at 8:00. After how many minutes do they leave together again?
answer box
Show answer
60
Hint: This is the lowest common multiple of the two times.
Question 3
What is 3 + (-18)?
3 + (-18) = ?
- 21
- -15
- -21
- 15
Show answer
-15
Hint: Different signs: subtract the sizes, 18 − 3 = 15. Keep the sign of -18, the number farther from zero. The answer is -15.
Question 4
What is 18.63 + 11.4?
18.63 + 11.4 = ?
answer box
Show answer
30.03
Hint: Line up the decimal points and give every number two decimal places: 18.63 + 11.40. Add column by column: 30.03.
Question 5
What is 1/8 × 1/2?
1/8 × 1/2
- 1/10
- 1/16
- 1/5
Show answer
1/16
Hint: Multiply the numerators. Multiply the denominators. Then simplify.
Question 6
What percent of the bar is shaded?
answer box%
Show answer
50 %
Hint: 2 of the 4 equal parts are shaded: 2/4. 2/4 = 50/100 = 0.5 = 50%.
Question 7
Increase 280 by 5%. What is the new number?
answer box
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294
Hint: Find 5% of 280, then add it to 280.
Question 8
Which expression gives the value for any term number n?
n 1 2 3 4 value 8 11 14 17 - n + 8
- 3n + 5
- 3n + 8
- -3n + 5
Show answer
3n + 5
Hint: The value changes by 3 each time n goes up by 1, so the rule starts with 3n. At n = 1, 3n is 3 but the table shows 8, so add 5: 3n + 5.
Question 9
Evaluate 4.7x + 4.2 when x = 4.
4.7x + 4.2, x = 4
answer box
Show answer
23
Hint: Put 4 in for x. Multiply first, then add.
Question 10
Which equation matches this sentence? "Nine times a number, plus 7, equals 25."
- 9(n + 7) = 25
- 9n − 7 = 25
- 7n + 9 = 25
- 9n + 7 = 25
Show answer
9n + 7 = 25
Hint: "Nine times a number" is 9n. "Plus 7" adds 7 after multiplying: 9n + 7. "Equals 25" finishes it: 9n + 7 = 25.
Answer key
- 1. 6 × 10⁸ + 4 × 10⁵ + 5 × 10⁴ (Big & Rational Numbers)
- 2. 60 (Factors & Exponents)
- 3. -15 (Add & Subtract Integers)
- 4. 30.03 (Decimal Operations)
- 5. 1/16 (Fractions)
- 6. 50 % (Fractions, Decimals & Percents)
- 7. 294 (Percents & Proportions)
- 8. 3n + 5 (Linear Relations)
- 9. 23 (Algebra Moves)
- 10. 9n + 7 = 25 (Two-Step Equations)
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