Japan · Grade 5 · Practice Sheet 38

1. 1.

   Find the mean (average) of these numbers: 65, 31, 31, 66.

   Formula:Arithmetic Mean

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

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2. 2.

   A triangle has a base of 21 cm and a height of 4 cm. Find its area.

   Formula:Area of a Triangle

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

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3. 3.

   An item costs ¥28.85 and you pay with ¥40. How much change do you get?

   Formula:Change Due

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

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4. 4.

   Calculate 44 × 11.

   Formula:Multiplication

   $p = a \times b$

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5. 5.

   A triangle has a base of 37 cm and a height of 25 cm. Find its area.

   Formula:Area of a Triangle

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

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6. 6.

   Find the mean (average) of these numbers: 49, 86, 14, 49, 73, 58.

   Formula:Arithmetic Mean

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

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7. 7.

   Convert 1.63 kilometres into metres.

   Formula:Metric Length Conversion

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

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8. 8.

   Find the area of a square with side length 5 cm.

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   A train moves at 38 km/h for 4.5 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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10. 10.

    Find 3/5 of 65.

    Formula:Fraction of a Quantity

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

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11. 11.

    Find the area of a square with side length 4 cm.

    Formula:Area of a Square

    $A = s^2$

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12. 12.

    Calculate 94 × 6.

    Formula:Multiplication

    $p = a \times b$

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13. 13.

    A rectangle is 10 cm long and 6 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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14. 14.

    Calculate 39 × 4.

    Formula:Multiplication

    $p = a \times b$

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15. 15.

    A rectangle is 37 cm long and 25 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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16. 16.

    Find the mean (average) of these numbers: 77, 22, 78, 37, 53, 90.

    Formula:Arithmetic Mean

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

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17. 17.

    Find the area of a square with side length 24 cm.

    Formula:Area of a Square

    $A = s^2$

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18. 18.

    What is 20% of 600?

    Formula:Percentage of a Quantity

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

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19. 19.

    A car travels 490 km in 5 hours. Find its average speed.

    Formula:Speed

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

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20. 20.

    A train moves at 78 km/h for 3.6 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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