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Grade 6 Math practice sheet

Ontario Curriculum · from Gradelings · Name: ______________________

  1. Question 1

    Which integer belongs at the ? on the number line?

    -10-6-4-20246810?
    • −9
    • −8
    • 0
    Show answer

    −8

    Hint: Numbers to the right of 0 are positive. Numbers to the left are negative.

  2. Question 2

    Which number is prime?

    • 13
    • 35
    • 51
    Show answer

    13

    Hint: A prime number has exactly two factors: 1 and itself.

  3. Question 3

    What is 3/4 + 1/5?

    3/4 + 1/5

    • 4/9
    • 1
    • 19/20
    Show answer

    19/20

    Hint: Change both fractions to the same denominator, then add the numerators.

  4. Question 4

    Ravi buys 4 juice boxes at $4.85 each. What is the total cost in dollars?

    🧃$4.85 each

    answer box

    Show answer

    19.40

    Hint: Multiply the price by 4. It can help to work in cents: 485¢ × 4, then change cents to dollars (100¢ = $1).

  5. Question 5

    A paint mix uses 3 parts blue to 7 parts white. How many parts of white go with 6 parts of blue?

    answer box

    Show answer

    14

    Hint: Multiply both parts by 2.

  6. Question 6

    Find the pattern rule. What is the output when the input is 10?

    Input and output
    Input (n)Output
    14
    28
    312
    416
    10?

    answer box

    Show answer

    40

    Hint: The output goes up by 4 each time, so the rule is 4 × n, plus or minus a fixed number. Check it with n = 1, then use n = 10.

  7. Question 7

    Evaluate 3n + 7 when n = 2.9.

    3n + 7, n = 2.9

    answer box

    Show answer

    15.7

    Hint: Put 2.9 in for n. Multiply first, then add.

  8. Question 8

    Solve for k.

    k + 10 = 47

    answer box

    Show answer

    37

    Hint: Undo adding 10: subtract 10 from both sides. k = 47 − 10.

  9. Question 9

    Is this data discrete or continuous? the mass of a backpack

    • discrete
    • continuous
    Show answer

    continuous

    Hint: Discrete data is counted and has gaps. Continuous data is measured and can be any value in a range.

  10. Question 10

    The spinner has equal sections. What is the probability of landing on red, as a percent?

    answer box%

    Show answer

    25 %

    Hint: Write 1/4 as a fraction out of 100.

Answer key

  1. 1. −8 (Integers & Decimals)
  2. 2. 13 (Factors & Primes)
  3. 3. 19/20 (Fractions)
  4. 4. 19.40 (Decimal × and ÷)
  5. 5. 14 (Percents & Ratios)
  6. 6. 40 (Patterns & Graphs)
  7. 7. 15.7 (Algebra Moves)
  8. 8. 37 (Equations)
  9. 9. continuous (Data & Graphs)
  10. 10. 25 % (Probability)

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