United Kingdom · Year 5 · Practice Sheet 31

1. 1.

   Find 1/4 of 16.

   Formula:Fraction of a Quantity

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

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2. 2.

   Convert 11.96 kilometres into metres.

   Formula:Metric Length Conversion

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

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3. 3.

   A car travels 234 km in 3 hours. Find its average speed.

   Formula:Speed

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

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4. 4.

   Find the perimeter of a rectangle measuring 37 m by 24 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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5. 5.

   A triangle has a base of 32 cm and a height of 9 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: 24, 83, 92, 67.

   Formula:Arithmetic Mean

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

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7. 7.

   Calculate 110 ÷ 10.

   Formula:Division

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

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8. 8.

   Find the area of a square with side length 10 cm.

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   A train moves at 77 km/h for 3 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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10. 10.

    Calculate 243 ÷ 9.

    Formula:Division

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

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11. 11.

    A train moves at 61 km/h for 4.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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12. 12.

    Calculate 94 × 12.

    Formula:Multiplication

    $p = a \times b$

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13. 13.

    A triangle has a base of 10 cm and a height of 28 cm. Find its area.

    Formula:Area of a Triangle

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

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14. 14.

    Calculate 38 × 6.

    Formula:Multiplication

    $p = a \times b$

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15. 15.

    What is 10% of 370?

    Formula:Percentage of a Quantity

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

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16. 16.

    A train moves at 36 km/h for 4.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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17. 17.

    Find the mean (average) of these numbers: 67, 42, 57, 47.

    Formula:Arithmetic Mean

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

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18. 18.

    A car travels 360 km in 5 hours. Find its average speed.

    Formula:Speed

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

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19. 19.

    Calculate 76 × 9.

    Formula:Multiplication

    $p = a \times b$

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20. 20.

    A rectangle is 32 cm long and 27 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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