Grade 7 Math practice sheet
Nunavut Curriculum · from Gradelings · Name: ______________________
Question 1
Which digit can replace ■ so that 5■3 is divisible by 9?
- 1
- 7
- 3
1
Hint: The digits must add up to a multiple of 9. 5 + 3 = 8, so add ■ to reach the next multiple of 9.
Question 2
What is 18.63 + 11.4?
18.63 + 11.4 = ?
answer box
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 3
Amir walked 6/10 km to the library and then 1/4 km to a friend's house. How far did Amir walk in all, in kilometres?
- 9/10
- 17/20
- 7/20
- 1/2
17/20
Hint: Add 6/10 + 1/4 using the common denominator 20.
Question 4
Which is the greatest?
- 1 1/2
- 0.45
- 2/5
- 1.75
1.75
Hint: Change the fractions to decimals (1/4 = 0.25, 1/2 = 0.5, 3/4 = 0.75) so you can compare them.
Question 5
What percent of the bar is shaded?
answer box%
50 %
Hint: 2 of the 4 equal parts are shaded: 2/4. 2/4 = 50/100 = 0.5 = 50%.
Question 6
Two stores sell the same scooter. Which store has the lower sale price?
Store Regular price Sale A $90.00 25% off B $120.00 10% off - Store B
- They cost the same
- Store A
Store A
Hint: Store A: pay 75% of $90.00 = $67.50. Store B: pay 90% of $120.00 = $108.00. Store A is cheaper.
Question 7
What is 3 + (-18)?
3 + (-18) = ?
- 21
- -15
- -21
- 15
-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 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
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
Which equation is equivalent to 5x = 45? (Same solution.)
- 10x = 90
- 10x = 45
- 5x + 2 = 45
- 10x = 47
10x = 90
Hint: Multiplying both sides by 2 gives 10x = 90.
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
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. 1 (Divisibility Rules)
- 2. 30.03 (Decimal Operations)
- 3. 17/20 (Adding & Subtracting Fractions)
- 4. 1.75 (Comparing & Ordering)
- 5. 50 % (Fractions, Decimals & Percents)
- 6. Store A (Tax, Tips & Discounts)
- 7. -15 (Add & Subtract Integers)
- 8. 3n + 5 (Linear Relations)
- 9. 10x = 90 (Expressions & Equations)
- 10. 9n + 7 = 25 (Two-Step Equations)
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