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Grade 9 Math practice sheet

Ontario Curriculum · from Gradelings · Name: ______________________

  1. Question 1

    Which number is both a natural number and an integer?

    • −8
    • 8/3
    • √8
    • 8
    Show answer

    8

    Hint: Natural numbers are 1, 2, 3, … and every one of them is also an integer.

  2. Question 2

    1/6 + 3/4 = ?

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

    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 value equals 2⁻⁵?

    • −10
    • 1/10
    • −32
    • 1/32
    Show answer

    1/32

    Hint: A negative exponent means the reciprocal: 2⁻⁵ = 1/2⁵ = 1/32.

  4. Question 4

    What is 9³?

    answer box

    Show answer

    729

    Hint: 9³ = 9 × 9 × 9 = 729.

  5. Question 5

    Pack A has 2 juice boxes for $1.00. Pack B has 6 juice boxes for $1.80. Which is the better buy?

    • Pack B
    • Pack A
    • They cost the same per box
    Show answer

    Pack B

    Hint: Find the cost of one box in each pack: $1.00 ÷ 2 = $0.50 and $1.80 ÷ 6 = $0.30. The lower unit rate is the better buy.

  6. Question 6

    Which expression is NOT equivalent to 2x + 4?

    • 2(x + 2)
    • 4 + 2x
    • 2(x + 4)
    • x + x + 4
    Show answer

    2(x + 4)

    Hint: Expand each one. 2(x + 2) = 2x + 4, but 2(x + 4) = 2x + 8.

  7. Question 7

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

    • trinomial
    • binomial
    • quadrinomial
    • monomial
    Show answer

    binomial

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

  8. Question 8

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

    answer box

    Show answer

    -1

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

  9. Question 9

    What does this code print?

    Code

    n = 3

    while n < 26: n = n * 3

    print(n)

    answer box

    Show answer

    27

    Hint: Keep multiplying by 3 until n is 26 or more. The last value is 27.

  10. Question 10

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

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

    answer box

    Show answer

    2

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

Answer key

  1. 1. 8 (Number Sets)
  2. 2. 11/12 (Rational Numbers)
  3. 3. 1/32 (Powers & Scientific Notation)
  4. 4. 729 (Exponents & Powers)
  5. 5. Pack B (Rates & Percents)
  6. 6. 2(x + 4) (Expressions)
  7. 7. binomial (Polynomials)
  8. 8. -1 (Multi-Step Equations)
  9. 9. 27 (Code Reader)
  10. 10. 2 (Linear Relations)

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