Japan · Grade 5 · Practice Sheet 47

1. 1.

   A car travels 372 km in 6 hours. Find its average speed.

   Formula:Speed

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

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2. 2.

   An item costs ¥39.24 and you pay with ¥40. How much change do you get?

   Formula:Change Due

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

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3. 3.

   Convert 9.34 kilometres into metres.

   Formula:Metric Length Conversion

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

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4. 4.

   Calculate 324 ÷ 9.

   Formula:Division

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

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5. 5.

   A triangle has a base of 19 cm and a height of 24 cm. Find its area.

   Formula:Area of a Triangle

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

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6. 6.

   Calculate 198 ÷ 9.

   Formula:Division

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

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7. 7.

   Find the mean (average) of these numbers: 25, 19, 33, 59, 74, 63.

   Formula:Arithmetic Mean

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

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8. 8.

   Find the area of a square with side length 12 cm.

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   One item costs ¥19.05. Find the total cost of 3 items.

   Formula:Total Cost

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

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10. 10.

    Find 5/8 of 144.

    Formula:Fraction of a Quantity

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

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11. 11.

    Find the mean (average) of these numbers: 22, 31, 21, 15, 22, 93.

    Formula:Arithmetic Mean

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

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12. 12.

    Calculate 88 ÷ 11.

    Formula:Division

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

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13. 13.

    A triangle has a base of 6 cm and a height of 8 cm. Find its area.

    Formula:Area of a Triangle

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

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14. 14.

    Find the perimeter of a rectangle measuring 22 m by 11 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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15. 15.

    Find the area of a square with side length 3 cm.

    Formula:Area of a Square

    $A = s^2$

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16. 16.

    A train moves at 53 km/h for 2.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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17. 17.

    Convert 8.82 kilometres into metres.

    Formula:Metric Length Conversion

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

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18. 18.

    Find the mean (average) of these numbers: 67, 95, 78, 20, 85, 62.

    Formula:Arithmetic Mean

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

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19. 19.

    Calculate 99 ÷ 11.

    Formula:Division

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

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20. 20.

    A rectangle is 11 cm long and 7 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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