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Grade 9 Math practice sheet

Alberta Curriculum · from Gradelings · Name: ______________________

  1. Question 1

    What is 9³?

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    729

    Hint: 9³ = 9 × 9 × 9 = 729.

  2. Question 2

    1/6 + 3/4 = ?

    • 11/12
    • 2/5
    • -11/12
    • 1
    • -7/12
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    11/12

    Hint: Use the common denominator 12: 2/12 + 9/12 = 11/12, which is 11/12 in lowest terms.

  3. Question 3

    Which whole number is closest to √226?

    • 17
    • 16
    • 15
    • 14
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    15

    Hint: Find the perfect squares on each side of 226. 15² = 225, which is the closest to 226.

  4. Question 4

    Classify the polynomial 4x² + 7 by its number of terms.

    • trinomial
    • binomial
    • quadrinomial
    • monomial
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    binomial

    Hint: Count the terms: 4x² + 7 has 2. One term is a monomial, two a binomial, three a trinomial.

  5. Question 5

    Solve for x: 6(x + 4) = 18

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    -1

    Hint: Divide both sides by 6: x + 4 = 3. Subtract 4: x = −1.

  6. Question 6

    What is the slope of the line through (2, 0) and (3, 2)?

    -5-5-4-4-3-3-2-2-1-1001122334455AB

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    2

    Hint: slope = rise ÷ run = (2 − 0) ÷ (3 − 2) = 2 ÷ 1 = 2.

  7. Question 7

    Triangle B is an enlargement of triangle A. A side of 9 cm on triangle A matches a side of 18 cm on triangle B. What is the scale factor?

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    2

    Hint: Scale factor = new length ÷ original length = 18 ÷ 9 = 2.

  8. Question 8

    A circle has radius 20 cm. A chord is 24 cm long. How far is the chord from the centre, in cm?

    answer boxcm

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    16 cm

    Hint: The perpendicular from the centre meets the chord at its midpoint, 12 cm from each end. Use a right triangle with hypotenuse 20 and one leg 12: 20² − 12² = 256, and √256 = 16.

  9. Question 9

    5 identical cubes are glued face to face in a straight row. How many cube faces can you see on the outside?

    • 30
    • 21
    • 23
    • 22
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    22

    Hint: 5 separate cubes have 30 faces. Each of the 4 glued joins hides 2 faces, so 30 − 8 = 22.

  10. Question 10

    A school has 400 students. A survey asks 20 of them. What fraction of the students were surveyed? Type it in lowest terms.

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    1/20

    Hint: Fraction = 20/400, which is 1/20 in lowest terms.

Answer key

  1. 1. 729 (Exponents & Powers)
  2. 2. 11/12 (Rational Numbers)
  3. 3. 15 (Square Roots)
  4. 4. binomial (Polynomials)
  5. 5. -1 (Multi-Step Equations)
  6. 6. 2 (Linear Relations)
  7. 7. 2 (Similarity & Scale)
  8. 8. 16 cm (Circle Properties)
  9. 9. 22 (Surface Area of Objects)
  10. 10. 1/20 (Statistics in Society)

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