United Kingdom · Year 6 · Practice Sheet 38

1. 1.

   £4,500 is invested at 3% simple interest per year for 3 years. Find the interest earned.

   Formula:Simple Interest

   $I = \dfrac{P \times r \times t}{100}$

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2. 2.

   What is 75% of 490?

   Formula:Percentage of a Quantity

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

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3. 3.

   A car travels 282 km in 3 hours. Find its average speed.

   Formula:Speed

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

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4. 4.

   A triangle has a base of 22 cm and a height of 23 cm. Find its area.

   Formula:Area of a Triangle

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

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5. 5.

   Find the mean (average) of these numbers: 23, 95, 77, 74.

   Formula:Arithmetic Mean

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

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6. 6.

   Convert 6.01 kilometres into metres.

   Formula:Metric Length Conversion

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

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7. 7.

   A train moves at 88 km/h for 2.2 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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8. 8.

   Find the area of a square with side length 7 cm.

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   Calculate 63 × 8.

   Formula:Multiplication

   $p = a \times b$

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10. 10.

    A rectangle is 28 cm long and 16 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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11. 11.

    Calculate 56 ÷ 7.

    Formula:Division

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

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12. 12.

    Calculate 66 × 12.

    Formula:Multiplication

    $p = a \times b$

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13. 13.

    Find the perimeter of a rectangle measuring 11 m by 26 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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14. 14.

    A car travels 360 km in 6 hours. Find its average speed.

    Formula:Speed

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

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15. 15.

    One item costs £9.97. Find the total cost of 7 items.

    Formula:Total Cost

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

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16. 16.

    Find the perimeter of a rectangle measuring 42 m by 16 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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17. 17.

    What is 25% of 160?

    Formula:Percentage of a Quantity

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

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18. 18.

    A rectangle is 22 cm long and 30 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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19. 19.

    Find the perimeter of a rectangle measuring 26 m by 26 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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20. 20.

    An item costs £7.28 and you pay with £10. How much change do you get?

    Formula:Change Due

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

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