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Grade 6 Math practice sheet

BC Curriculum · from Gradelings · Name: ______________________

  1. Question 1

    Write in standard form: four million four hundred twenty-nine thousand one hundred eleven.

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    4429111

    Hint: Work one period (group of three digits) at a time, using zeros as placeholders: millions 4, thousands 429, ones 111.

  2. Question 2

    What is 3 × 9?

    3 × 9 = ?

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    27

    Hint: Use tens: 3 × 10 = 30, then take away one 3.

  3. Question 3

    Each whole is cut into 5 equal parts. Write the shaded amount as an improper fraction.

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    12/5

    Hint: Count every shaded part: 2 full wholes are 10 parts, plus 2 more. Put the total over 5.

  4. Question 4

    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).

  5. Question 5

    What percent of the bar is shaded?

    answer box%

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    90 %

    Hint: The whole bar is 100%. It has 10 equal parts, so each part is 10%. Multiply by the number of shaded parts.

  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?

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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.

  7. Question 7

    Solve for k.

    k + 10 = 47

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    37

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

  8. Question 8

    A parallelogram has a base of 9 m, slanted sides of 7 m, and a height of 4 m. What is its area?

    answer boxm²

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    36 m²

    Hint: Area of a parallelogram = base × perpendicular height. The slanted side is not the height.

  9. Question 9

    A triangle has angles of 13°, 44° and 123°. Classify it by its angles.

    • obtuse triangle
    • right triangle
    • acute triangle
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    obtuse triangle

    Hint: Acute: all angles less than 90°. Right: one angle is exactly 90°. Obtuse: one angle is more than 90°.

  10. Question 10

    A fish tank is 40 cm long, 10 cm wide and 25 cm high. 1 cm³ holds 1 mL. How many litres of water does the full tank hold?

    answer boxL

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    10 L

    Hint: Find the volume in cm³, which equals the capacity in mL. Then divide by 1000 to change mL to litres.

Answer key

  1. 1. 4429111 (Thousandths to Billions)
  2. 2. 27 (Facts & Factors)
  3. 3. 12/5 (Mixed Numbers & Ratios)
  4. 4. 19.40 (Decimal × and ÷)
  5. 5. 90 % (Percents & Budgets)
  6. 6. 40 (Patterns & Graphs)
  7. 7. 37 (Equations)
  8. 8. 36 m² (Perimeter & Area)
  9. 9. obtuse triangle (Angles & Triangles)
  10. 10. 10 L (Volume & Capacity)

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