New Zealand · Year 6 · Practice Sheet 37

1. 1.

   Find the area of a square with side length 14 cm.

   Formula:Area of a Square

   $A = s^2$

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2. 2.

   A car travels 385 km in 5 hours. Find its average speed.

   Formula:Speed

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

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3. 3.

   Convert 5.49 kilometres into metres.

   Formula:Metric Length Conversion

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

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4. 4.

   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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5. 5.

   A car travels 128 km in 4 hours. Find its average speed.

   Formula:Speed

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

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6. 6.

   A circle has a radius of 18 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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7. 7.

   A rectangle is 30 cm long and 18 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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8. 8.

   What is 15% of 50?

   Formula:Percentage of a Quantity

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

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9. 9.

   An item costs $14.58 and you pay with $20. How much change do you get?

   Formula:Change Due

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

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10. 10.

    Calculate 42 × 8.

    Formula:Multiplication

    $p = a \times b$

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11. 11.

    Calculate 60 ÷ 4.

    Formula:Division

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

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12. 12.

    $4,000 is invested at 6% 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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13. 13.

    A rectangle is 25 cm long and 4 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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14. 14.

    Calculate 90 ÷ 10.

    Formula:Division

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

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15. 15.

    Find the circumference of a circle whose radius is 6 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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16. 16.

    Convert 3.97 kilometres into metres.

    Formula:Metric Length Conversion

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

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17. 17.

    $140 is shared in the ratio 2 : 5. Find each share.

    Formula:Dividing in a Ratio

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

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18. 18.

    Find the perimeter of a rectangle measuring 42 m by 14 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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19. 19.

    A train moves at 44 km/h for 5.2 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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20. 20.

    Convert 6.37 kilometres into metres.

    Formula:Metric Length Conversion

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

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