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Grade 9 Math practice sheet

BC Curriculum · from Gradelings · Name: ______________________

  1. Question 1

    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.

  2. Question 2

    What is 9³?

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    729

    Hint: 9³ = 9 × 9 × 9 = 729.

  3. Question 3

    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.

  4. Question 4

    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.

  5. Question 5

    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.

  6. Question 6

    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.

  7. Question 7

    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.

  8. Question 8

    Jay earns $560 a month at a part-time job. Expenses: $150 for phone and transit, $60 for food and $40 for fun. How much is left to save, in dollars?

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    310

    Hint: Total spending = 150 + 60 + 40 = 250. Left over = 560 − 250 = 310.

  9. Question 9

    −3/7 ÷ 3/5 = ?

    • 5/7
    • -5/7
    • -2/3
    • -7/5
    • -15/22
    Show answer

    -5/7

    Hint: Multiply by the reciprocal: −3/7 × 5/3 = −15/21. A negative ÷ positive is negative. Lowest terms: -5/7.

  10. Question 10

    What is (−5)³?

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    -125

    Hint: Multiply −5 by itself 3 times. An odd number of negatives gives a negative answer: -125.

Answer key

  1. 1. 11/12 (Rational Numbers)
  2. 2. 729 (Exponents & Powers)
  3. 3. binomial (Polynomials)
  4. 4. -1 (Multi-Step Equations)
  5. 5. 2 (Linear Relations)
  6. 6. 2 (Similarity & Scale)
  7. 7. 1/20 (Statistics in Society)
  8. 8. 310 (Budgets & Transactions)
  9. 9. -5/7 (Rational Numbers)
  10. 10. -125 (Exponents & Powers)

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