Australia · Year 6 · Practice Sheet 24

1. 1.

   Find 1/2 of 36.

   Formula:Fraction of a Quantity

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

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2. 2.

   Convert 8.97 kilometres into metres.

   Formula:Metric Length Conversion

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

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3. 3.

   Calculate 67 × 10.

   Formula:Multiplication

   $p = a \times b$

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4. 4.

   Find the mean (average) of these numbers: 22, 64, 38, 35, 77, 49.

   Formula:Arithmetic Mean

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

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5. 5.

   A circle has a radius of 24 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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6. 6.

   Find the circumference of a circle whose radius is 7 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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7. 7.

   $234 is shared in the ratio 1 : 5. Find each share.

   Formula:Dividing in a Ratio

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

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8. 8.

   A train moves at 81 km/h for 2.1 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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9. 9.

   An item costs $26.99 and you pay with $30. How much change do you get?

   Formula:Change Due

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

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10. 10.

    Convert 11.3 kilometres into metres.

    Formula:Metric Length Conversion

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

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11. 11.

    Find the circumference of a circle whose radius is 14 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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12. 12.

    One item costs $16.05. Find the total cost of 5 items.

    Formula:Total Cost

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

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13. 13.

    Calculate 79 × 11.

    Formula:Multiplication

    $p = a \times b$

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14. 14.

    Find the mean (average) of these numbers: 97, 94, 44, 19.

    Formula:Arithmetic Mean

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

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15. 15.

    Calculate 54 × 8.

    Formula:Multiplication

    $p = a \times b$

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16. 16.

    Calculate 132 ÷ 11.

    Formula:Division

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

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17. 17.

    Find 2/3 of 54.

    Formula:Fraction of a Quantity

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

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18. 18.

    Calculate 24 ÷ 4.

    Formula:Division

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

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19. 19.

    Find the area of a square with side length 4 cm.

    Formula:Area of a Square

    $A = s^2$

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20. 20.

    Calculate 70 × 11.

    Formula:Multiplication

    $p = a \times b$

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