Australia · Year 6 · Practice Sheet 3

1. 1.

   A triangle has a base of 13 cm and a height of 25 cm. Find its area.

   Formula:Area of a Triangle

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

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2. 2.

   Find the area of a square with side length 6 cm.

   Formula:Area of a Square

   $A = s^2$

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3. 3.

   Calculate 74 × 4.

   Formula:Multiplication

   $p = a \times b$

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4. 4.

   Calculate 56 ÷ 7.

   Formula:Division

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

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5. 5.

   What is 75% of 160?

   Formula:Percentage of a Quantity

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

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6. 6.

   $4,800 is invested at 10% 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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7. 7.

   A rectangle is 38 cm long and 28 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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8. 8.

   Calculate 53 × 8.

   Formula:Multiplication

   $p = a \times b$

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9. 9.

   Find the perimeter of a rectangle measuring 40 m by 8 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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10. 10.

    Calculate 68 × 7.

    Formula:Multiplication

    $p = a \times b$

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11. 11.

    Convert 5.34 kilometres into metres.

    Formula:Metric Length Conversion

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

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12. 12.

    $234 is shared in the ratio 3 : 3. Find each share.

    Formula:Dividing in a Ratio

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

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13. 13.

    Find the mean (average) of these numbers: 17, 93, 16, 47, 87.

    Formula:Arithmetic Mean

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

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14. 14.

    A car travels 388 km in 4 hours. Find its average speed.

    Formula:Speed

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

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15. 15.

    Find the mean (average) of these numbers: 58, 94, 73, 98, 70.

    Formula:Arithmetic Mean

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

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16. 16.

    A train moves at 44 km/h for 2 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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17. 17.

    A triangle has a base of 38 cm and a height of 20 cm. Find its area.

    Formula:Area of a Triangle

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

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18. 18.

    Find 4/5 of 35.

    Formula:Fraction of a Quantity

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

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19. 19.

    What is 20% of 380?

    Formula:Percentage of a Quantity

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

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20. 20.

    $232 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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