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Grade 6 Math practice sheet

Alberta 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

    Add.

    9 + 9 = ?

    answer box

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    18

    Hint: Use a number line. Adding a positive moves right, adding a negative moves left.

  3. Question 3

    Which number is prime?

    • 13
    • 35
    • 51
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    13

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

  4. Question 4

    What is the greatest common factor of 72 and 16?

    answer box

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    8

    Hint: List the factors of each number. The biggest one they share is the greatest common factor.

  5. Question 5

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

    🧃$4.85 each

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    19.40

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

  6. Question 6

    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.

  7. Question 7

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

    answer box

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    14

    Hint: Multiply both parts by 2.

  8. Question 8

    Solve for k.

    k + 10 = 47

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    37

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

  9. Question 9

    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

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    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.

  10. Question 10

    What makes two shapes congruent?

    • They have the same colour
    • They have exactly the same size and shape
    • They only have the same perimeter
    • They only have the same number of sides
    Show answer

    They have exactly the same size and shape

    Hint: Congruent shapes match perfectly if one is placed on the other.

Answer key

  1. 1. −8 (Integers & Decimals)
  2. 2. 18 (Adding and Subtracting Integers)
  3. 3. 13 (Factors & Primes)
  4. 4. 8 (Powers and Common Factors)
  5. 5. 19.40 (Decimal × and ÷)
  6. 6. 19/20 (Fractions)
  7. 7. 14 (Percents & Ratios)
  8. 8. 37 (Equations)
  9. 9. 40 (Patterns & Graphs)
  10. 10. They have exactly the same size and shape (Symmetry and Congruence)

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