Ireland · Year 6 · Practice Sheet 38

1. 1.

   Find the mean (average) of these numbers: 32, 63, 74, 72.

   Formula:Arithmetic Mean

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

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2. 2.

   An item costs €14.52 and you pay with €30. How much change do you get?

   Formula:Change Due

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

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3. 3.

   A car travels 404 km in 4 hours. Find its average speed.

   Formula:Speed

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

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4. 4.

   Calculate 360 ÷ 10.

   Formula:Division

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

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5. 5.

   €88 is shared in the ratio 3 : 5. Find each share.

   Formula:Dividing in a Ratio

   $\text{share} = \dfrac{\text{part}}{\text{total parts}} \times T$

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6. 6.

   Find the circumference of a circle whose radius is 13 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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7. 7.

   Find the perimeter of a rectangle measuring 21 m by 7 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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8. 8.

   What is 5% of 230?

   Formula:Percentage of a Quantity

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

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9. 9.

   An item costs €43.54 and you pay with €60. How much change do you get?

   Formula:Change Due

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

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10. 10.

    Calculate 216 ÷ 12.

    Formula:Division

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

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11. 11.

    An item costs €43.91 and you pay with €50. How much change do you get?

    Formula:Change Due

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

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12. 12.

    Find the circumference of a circle whose radius is 4 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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13. 13.

    Convert 3.14 kilometres into metres.

    Formula:Metric Length Conversion

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

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14. 14.

    Calculate 297 ÷ 9.

    Formula:Division

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

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15. 15.

    Calculate 78 × 8.

    Formula:Multiplication

    $p = a \times b$

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16. 16.

    Convert 1.97 kilometres into metres.

    Formula:Metric Length Conversion

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

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17. 17.

    A car travels 134 km in 2 hours. Find its average speed.

    Formula:Speed

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

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18. 18.

    Find the circumference of a circle whose radius is 23 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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19. 19.

    An item costs €19.58 and you pay with €20. How much change do you get?

    Formula:Change Due

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

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20. 20.

    Find the mean (average) of these numbers: 13, 99, 77, 42.

    Formula:Arithmetic Mean

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

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