United Kingdom · Year 5 · Practice Sheet 42

1. 1.

   A triangle has a base of 23 cm and a height of 17 cm. Find its area.

   Formula:Area of a Triangle

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

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2. 2.

   Find the mean (average) of these numbers: 66, 23, 56, 52.

   Formula:Arithmetic Mean

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

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3. 3.

   Find 1/5 of 90.

   Formula:Fraction of a Quantity

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

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4. 4.

   One item costs £1.78. Find the total cost of 6 items.

   Formula:Total Cost

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

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5. 5.

   Find the area of a square with side length 25 cm.

   Formula:Area of a Square

   $A = s^2$

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6. 6.

   Calculate 37 × 3.

   Formula:Multiplication

   $p = a \times b$

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7. 7.

   Find the perimeter of a rectangle measuring 27 m by 14 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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8. 8.

   A train moves at 47 km/h for 4.6 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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9. 9.

   An item costs £37.41 and you pay with £50. How much change do you get?

   Formula:Change Due

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

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10. 10.

    A train moves at 55 km/h for 5.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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11. 11.

    An item costs £9.22 and you pay with £20. How much change do you get?

    Formula:Change Due

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

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12. 12.

    Calculate 385 ÷ 11.

    Formula:Division

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

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13. 13.

    Find the perimeter of a rectangle measuring 32 m by 25 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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14. 14.

    Find the mean (average) of these numbers: 37, 43, 58, 81, 95, 12.

    Formula:Arithmetic Mean

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

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15. 15.

    Find 1/2 of 26.

    Formula:Fraction of a Quantity

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

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16. 16.

    Find the perimeter of a rectangle measuring 35 m by 10 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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17. 17.

    What is 10% of 500?

    Formula:Percentage of a Quantity

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

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18. 18.

    A rectangle is 12 cm long and 28 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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19. 19.

    Convert 7.1 kilometres into metres.

    Formula:Metric Length Conversion

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

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20. 20.

    A car travels 180 km in 4 hours. Find its average speed.

    Formula:Speed

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

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