Australia · Year 6 · Practice Sheet 9

1. 1.

   $168 is shared in the ratio 3 : 4. Find each share.

   Formula:Dividing in a Ratio

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

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2. 2.

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

   Formula:Area of a Square

   $A = s^2$

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3. 3.

   A circle has a radius of 4 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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4. 4.

   Convert 6.64 kilometres into metres.

   Formula:Metric Length Conversion

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

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5. 5.

   Find 2/4 of 48.

   Formula:Fraction of a Quantity

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

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6. 6.

   Calculate 88 ÷ 11.

   Formula:Division

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

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7. 7.

   Calculate 17 × 3.

   Formula:Multiplication

   $p = a \times b$

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8. 8.

   Calculate 216 ÷ 12.

   Formula:Division

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

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9. 9.

   Find the area of a square with side length 12 cm.

   Formula:Area of a Square

   $A = s^2$

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10. 10.

    Convert 7.97 kilometres into metres.

    Formula:Metric Length Conversion

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

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11. 11.

    A circle has a radius of 17 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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12. 12.

    A car travels 616 km in 7 hours. Find its average speed.

    Formula:Speed

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

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13. 13.

    Calculate 88 ÷ 11.

    Formula:Division

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

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14. 14.

    Find the perimeter of a rectangle measuring 21 m by 14 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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15. 15.

    Calculate 74 × 6.

    Formula:Multiplication

    $p = a \times b$

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16. 16.

    One item costs $8.52. Find the total cost of 15 items.

    Formula:Total Cost

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

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17. 17.

    What is 10% of 590?

    Formula:Percentage of a Quantity

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

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18. 18.

    A car travels 384 km in 4 hours. Find its average speed.

    Formula:Speed

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

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19. 19.

    A train moves at 89 km/h for 5.6 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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20. 20.

    $4,100 is invested at 7.5% simple interest per year for 4 years. Find the interest earned.

    Formula:Simple Interest

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

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