Australia · Year 5 · Practice Sheet 20

1. 1.

   Find 2/3 of 42.

   Formula:Fraction of a Quantity

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

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2. 2.

   Calculate 72 ÷ 12.

   Formula:Division

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

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3. 3.

   Find the perimeter of a rectangle measuring 15 m by 7 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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4. 4.

   What is 10% of 420?

   Formula:Percentage of a Quantity

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

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5. 5.

   A triangle has a base of 38 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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6. 6.

   A car travels 465 km in 5 hours. Find its average speed.

   Formula:Speed

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

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7. 7.

   An item costs $10.14 and you pay with $30. How much change do you get?

   Formula:Change Due

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

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8. 8.

   Find the area of a square with side length 19 cm.

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   Calculate 22 × 6.

   Formula:Multiplication

   $p = a \times b$

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10. 10.

    Calculate 204 ÷ 12.

    Formula:Division

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

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11. 11.

    Calculate 23 × 9.

    Formula:Multiplication

    $p = a \times b$

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12. 12.

    Convert 10.76 kilometres into metres.

    Formula:Metric Length Conversion

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

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13. 13.

    Find the mean (average) of these numbers: 43, 50, 82, 45, 28.

    Formula:Arithmetic Mean

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

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14. 14.

    Find the area of a square with side length 9 cm.

    Formula:Area of a Square

    $A = s^2$

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15. 15.

    A triangle has a base of 33 cm and a height of 16 cm. Find its area.

    Formula:Area of a Triangle

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

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16. 16.

    Find 7/8 of 120.

    Formula:Fraction of a Quantity

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

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17. 17.

    Calculate 37 × 7.

    Formula:Multiplication

    $p = a \times b$

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18. 18.

    Find the mean (average) of these numbers: 49, 36, 15, 60.

    Formula:Arithmetic Mean

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

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19. 19.

    Find 4/5 of 55.

    Formula:Fraction of a Quantity

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

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20. 20.

    Find the mean (average) of these numbers: 13, 40, 85, 62, 85, 27.

    Formula:Arithmetic Mean

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

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