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Grade 8 Math practice sheet

BC Curriculum · from Gradelings · Name: ______________________

  1. Question 1

    Add: 6/10 + 5/6. Type the answer as a fraction in lowest terms.

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    43/30

    Hint: Use a common denominator of 30: 18/30 + 25/30 = 43/30. Lowest terms: 43/30.

  2. Question 2

    What is 15²?

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    225

    Hint: 15² means 15 × 15 = 225.

  3. Question 3

    A bag has 4 red marbles and 12 blue marbles. What is the ratio of red to blue in lowest terms?

    • 1:4
    • 2:4
    • 1:3
    • 3:1
    • 4:12
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    1:3

    Hint: Divide both parts by their greatest common factor, 4: 4 ÷ 4 = 1 and 12 ÷ 4 = 3.

  4. Question 4

    What is 75% of 120?

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    90

    Hint: 75% = 75/100. 75/100 × 120 = 90.

  5. Question 5

    Solve for x: 4x + 5 = 37

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    8

    Hint: Undo the addition first: 4x = 37 − 5 = 32. Then divide by 4: x = 8.

  6. Question 6

    A right triangle has legs of 3 cm and 4 cm. How long is the hypotenuse?

    answer boxcm

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    5 cm

    Hint: c² = a² + b² = 9 + 16 = 25, so c = √25 = 5 cm.

  7. Question 7

    A box is 6 cm long, 5 cm wide and 3 cm tall. What is its surface area?

    answer boxcm²

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    126 cm²

    Hint: Add the areas of the 3 pairs of faces: 2 × (6×5 + 6×3 + 5×3) = 2 × 63 = 126 cm².

  8. Question 8

    A shop sells 3 kinds of shirts and 3 kinds of pants. How many different outfits can you make with one of each?

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    9

    Hint: Multiply the choices: 3 × 3 = 9.

  9. Question 9

    Subtract: 7/9 − 1/3. Type the answer in lowest terms.

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    4/9

    Hint: Common denominator 9: 7/9 − 3/9 = 4/9, which is 4/9 in lowest terms.

  10. Question 10

    What is √196?

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    14

    Hint: Which number multiplied by itself makes 196? 14 × 14 = 196, so √196 = 14.

Answer key

  1. 1. 43/30 (Fraction Operations)
  2. 2. 225 (Squares, Cubes & Roots)
  3. 3. 1:3 (Ratios, Rates & Proportions)
  4. 4. 90 (Percents & Money)
  5. 5. 8 (Patterns & Two-Step Equations)
  6. 6. 5 cm (Pythagorean Theorem)
  7. 7. 126 cm² (Surface Area & Volume)
  8. 8. 9 (Probability & Data)
  9. 9. 4/9 (Fraction Operations)
  10. 10. 14 (Squares, Cubes & Roots)

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