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Grade 7 Math practice sheet

Alberta Curriculum · from Gradelings · Name: ______________________

  1. Question 1

    Which digit can replace ■ so that 5■3 is divisible by 9?

    • 1
    • 7
    • 3
    Show answer

    1

    Hint: The digits must add up to a multiple of 9. 5 + 3 = 8, so add ■ to reach the next multiple of 9.

  2. Question 2

    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.

  3. 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
    Show answer

    17/20

    Hint: Add 6/10 + 1/4 using the common denominator 20.

  4. Question 4

    Which is the greatest?

    • 1 1/2
    • 0.45
    • 2/5
    • 1.75
    Show answer

    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.

  5. 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%.

  6. Question 6

    Two stores sell the same scooter. Which store has the lower sale price?

    StoreRegular priceSale
    A$90.0025% off
    B$120.0010% 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.

  7. Question 7

    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.

  8. Question 8

    Which expression gives the value for any term number n?

    n1234
    value8111417
    • 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.

  9. Question 9

    Which equation is equivalent to 5x = 45? (Same solution.)

    • 10x = 90
    • 10x = 45
    • 5x + 2 = 45
    • 10x = 47
    Show answer

    10x = 90

    Hint: Multiplying both sides by 2 gives 10x = 90.

  10. 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. 1. 1 (Divisibility Rules)
  2. 2. 30.03 (Decimal Operations)
  3. 3. 17/20 (Adding & Subtracting Fractions)
  4. 4. 1.75 (Comparing & Ordering)
  5. 5. 50 % (Fractions, Decimals & Percents)
  6. 6. Store A (Tax, Tips & Discounts)
  7. 7. -15 (Add & Subtract Integers)
  8. 8. 3n + 5 (Linear Relations)
  9. 9. 10x = 90 (Expressions & Equations)
  10. 10. 9n + 7 = 25 (Two-Step Equations)

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