United States · Grade 5 · Practice Sheet 31

1. 1.

   Find the mean (average) of these numbers: 31, 22, 81, 67, 45.

   Formula:Arithmetic Mean

   $\bar{x} = \dfrac{\sum x}{n}$

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2. 2.

   A car travels 456 km in 8 hours. Find its average speed.

   Formula:Speed

   $v = \dfrac{d}{t}$

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3. 3.

   Convert 9.5 kilometres into metres.

   Formula:Metric Length Conversion

   $1\,\text{km} = 1000\,\text{m}$

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4. 4.

   Find 3/4 of 36.

   Formula:Fraction of a Quantity

   $\text{result} = \dfrac{a}{b} \times N$

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5. 5.

   Calculate 49 × 3.

   Formula:Multiplication

   $p = a \times b$

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6. 6.

   Find the mean (average) of these numbers: 58, 65, 16, 63, 93, 40.

   Formula:Arithmetic Mean

   $\bar{x} = \dfrac{\sum x}{n}$

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7. 7.

   One item costs $13.23. Find the total cost of 19 items.

   Formula:Total Cost

   $\text{total} = \text{price} \times \text{quantity}$

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8. 8.

   An item costs $27.17 and you pay with $40. How much change do you get?

   Formula:Change Due

   $\text{change} = \text{paid} - \text{cost}$

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9. 9.

   A rectangle is 39 cm long and 15 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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10. 10.

    A triangle has a base of 6 cm and a height of 18 cm. Find its area.

    Formula:Area of a Triangle

    $A = \tfrac{1}{2} b h$

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11. 11.

    Calculate 34 × 4.

    Formula:Multiplication

    $p = a \times b$

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12. 12.

    Find the mean (average) of these numbers: 28, 99, 15, 53.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

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13. 13.

    A triangle has a base of 27 cm and a height of 5 cm. Find its area.

    Formula:Area of a Triangle

    $A = \tfrac{1}{2} b h$

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14. 14.

    Find the mean (average) of these numbers: 99, 87, 83, 38, 16, 50.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

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15. 15.

    Calculate 80 × 6.

    Formula:Multiplication

    $p = a \times b$

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16. 16.

    What is 25% of 210?

    Formula:Percentage of a Quantity

    $\text{result} = \dfrac{p}{100} \times N$

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17. 17.

    A rectangle is 22 cm long and 25 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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18. 18.

    An item costs $11.02 and you pay with $30. How much change do you get?

    Formula:Change Due

    $\text{change} = \text{paid} - \text{cost}$

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19. 19.

    Find the perimeter of a rectangle measuring 11 m by 15 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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20. 20.

    Calculate 240 ÷ 6.

    Formula:Division

    $q = \dfrac{a}{b}$

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