United Kingdom · Year 5 · Practice Sheet 12

1. 1.

   A train moves at 93 km/h for 3.1 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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2. 2.

   Convert 5.61 kilometres into metres.

   Formula:Metric Length Conversion

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

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3. 3.

   Find the mean (average) of these numbers: 49, 90, 68, 25.

   Formula:Arithmetic Mean

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

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4. 4.

   What is 30% of 470?

   Formula:Percentage of a Quantity

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

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5. 5.

   An item costs £39.94 and you pay with £50. How much change do you get?

   Formula:Change Due

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

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6. 6.

   Calculate 15 ÷ 3.

   Formula:Division

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

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7. 7.

   A triangle has a base of 9 cm and a height of 22 cm. Find its area.

   Formula:Area of a Triangle

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

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8. 8.

   Find 1/2 of 8.

   Formula:Fraction of a Quantity

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

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9. 9.

   Find the perimeter of a rectangle measuring 42 m by 15 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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10. 10.

    One item costs £8.07. Find the total cost of 20 items.

    Formula:Total Cost

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

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11. 11.

    Calculate 87 × 9.

    Formula:Multiplication

    $p = a \times b$

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12. 12.

    Calculate 125 ÷ 5.

    Formula:Division

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

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13. 13.

    A train moves at 60 km/h for 2 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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14. 14.

    Find the perimeter of a rectangle measuring 32 m by 28 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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15. 15.

    One item costs £10.42. Find the total cost of 18 items.

    Formula:Total Cost

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

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16. 16.

    A triangle has a base of 19 cm and a height of 6 cm. Find its area.

    Formula:Area of a Triangle

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

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17. 17.

    What is 25% of 510?

    Formula:Percentage of a Quantity

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

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18. 18.

    Find 1/4 of 76.

    Formula:Fraction of a Quantity

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

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19. 19.

    Convert 5.82 kilometres into metres.

    Formula:Metric Length Conversion

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

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20. 20.

    A rectangle is 16 cm long and 7 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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