China · Grade 5 · Practice Sheet 37

1. 1.

   A triangle has a base of 16 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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2. 2.

   Calculate 41 × 7.

   Formula:Multiplication

   $p = a \times b$

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3. 3.

   Find the mean (average) of these numbers: 27, 63, 36, 14.

   Formula:Arithmetic Mean

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

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4. 4.

   Calculate 45 × 3.

   Formula:Multiplication

   $p = a \times b$

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5. 5.

   Convert 11.24 kilometres into metres.

   Formula:Metric Length Conversion

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

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6. 6.

   One item costs ¥14.1. Find the total cost of 5 items.

   Formula:Total Cost

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

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7. 7.

   A rectangle is 32 cm long and 18 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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8. 8.

   Calculate 112 ÷ 7.

   Formula:Division

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

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9. 9.

   A rectangle is 27 cm long and 7 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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10. 10.

    A car travels 808 km in 8 hours. Find its average speed.

    Formula:Speed

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

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11. 11.

    A train moves at 82 km/h for 3.1 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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12. 12.

    Calculate 31 × 6.

    Formula:Multiplication

    $p = a \times b$

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13. 13.

    Find the perimeter of a rectangle measuring 10 m by 10 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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14. 14.

    A triangle has a base of 36 cm and a height of 11 cm. Find its area.

    Formula:Area of a Triangle

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

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15. 15.

    A rectangle is 13 cm long and 21 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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16. 16.

    Convert 8.71 kilometres into metres.

    Formula:Metric Length Conversion

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

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17. 17.

    Find the mean (average) of these numbers: 34, 93, 73, 16, 38, 32.

    Formula:Arithmetic Mean

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

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18. 18.

    One item costs ¥8.85. Find the total cost of 17 items.

    Formula:Total Cost

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

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19. 19.

    A car travels 294 km in 7 hours. Find its average speed.

    Formula:Speed

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

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20. 20.

    An item costs ¥15.17 and you pay with ¥20. How much change do you get?

    Formula:Change Due

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

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