Grade 7 Math practice sheet
Manitoba Curriculum · from Gradelings · Name: ______________________
Question 1
Why is 231 not divisible by 6?
- It is divisible by 3 but not by 2
- It is divisible by 2 but not by 3
- It ends in 1, so it is a prime number
Show answer
It is divisible by 3 but not by 2
Hint: 231 is odd, so 2 does not go into it. A number divisible by 6 needs both 2 and 3.
Question 2
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 3
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 4
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 5
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 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
Show answer
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 the value of 2(a + 3) when a = 5?
- 16
- 13
- 11
- 10
Show answer
16
Hint: Do the brackets first: 5 + 3 = 8. Then 2 × 8.
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
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.
Question 10
Point A(3, 5) is translated 6 units right and 2 units down. What is the y-coordinate of its image, A′?
answer box
Show answer
3
Hint: x: 3 + 6 = 9. y: 5 − 2 = 3.
Answer key
- 1. It is divisible by 3 but not by 2 (Divisibility Rules)
- 2. -15 (Add & Subtract Integers)
- 3. 30.03 (Decimal Operations)
- 4. 1/16 (Fractions)
- 5. 50 % (Fractions, Decimals & Percents)
- 6. Store A (Tax, Tips & Discounts)
- 7. 16 (Expressions & Equations)
- 8. 3n + 5 (Linear Relations)
- 9. 9n + 7 = 25 (Two-Step Equations)
- 10. 3 (Coordinates & Transformations)
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