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Grade 7 Math practice sheet

BC Curriculum · from Gradelings · Name: ______________________

  1. Question 1

    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.

  2. Question 2

    What is 8 × 6?

    8 × 6 = ?

    answer box

    Show answer

    48

    Hint: Split 8 into 5 + 3: 6 × 5 = 30 and 6 × 3 = 18. Add them: 48.

  3. 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.

  4. Question 4

    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%.

  5. Question 5

    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.

  6. Question 6

    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.

  7. Question 7

    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.

  8. Question 8

    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.

  9. Question 9

    A circle has a diameter of 19 cm. What is its circumference? Use 3.14 for π and round to one decimal place.

    ⭕d = 19 cm

    answer boxcm

    Show answer

    59.7 cm

    Hint: C = π × d ≈ 3.14 × 19 = 59.66. Rounded to one decimal place: 59.7 cm.

  10. Question 10

    A cylinder's circular base has an area of 78.5 cm². The cylinder is 4 cm tall. What is its volume?

    • 985.96 cm³
    • 314 cm³
    • 82.5 cm³
    • 157 cm³
    Show answer

    314 cm³

    Hint: Volume = base area × height = 78.5 × 4 = 314 cm³. The base area already includes π, so don't multiply by 3.14 again.

Answer key

  1. 1. -15 (Add & Subtract Integers)
  2. 2. 48 (Multiply & Divide Integers)
  3. 3. 30.03 (Decimal Operations)
  4. 4. 50 % (Fractions, Decimals & Percents)
  5. 5. Store A (Tax, Tips & Discounts)
  6. 6. 3 (Coordinates & Transformations)
  7. 7. 3n + 5 (Linear Relations)
  8. 8. 9n + 7 = 25 (Two-Step Equations)
  9. 9. 59.7 cm (Circles)
  10. 10. 314 cm³ (Volume)

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