New Zealand · Year 6 · Practice Sheet 4

1. 1.

   Find the area of a square with side length 8 cm.

   Formula:Area of a Square

   $A = s^2$

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2. 2.

   Calculate 17 × 7.

   Formula:Multiplication

   $p = a \times b$

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3. 3.

   Find 4/5 of 20.

   Formula:Fraction of a Quantity

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

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4. 4.

   Find the mean (average) of these numbers: 78, 72, 29, 12.

   Formula:Arithmetic Mean

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

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5. 5.

   What is 30% of 470?

   Formula:Percentage of a Quantity

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

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6. 6.

   $60 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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7. 7.

   Find 2/3 of 60.

   Formula:Fraction of a Quantity

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

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8. 8.

   Find the perimeter of a rectangle measuring 40 m by 16 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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9. 9.

   $128 is shared in the ratio 4 : 4. Find each share.

   Formula:Dividing in a Ratio

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

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10. 10.

    Calculate 24 ÷ 6.

    Formula:Division

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

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11. 11.

    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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12. 12.

    One item costs $8.09. Find the total cost of 6 items.

    Formula:Total Cost

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

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13. 13.

    Calculate 66 × 5.

    Formula:Multiplication

    $p = a \times b$

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14. 14.

    Calculate 320 ÷ 10.

    Formula:Division

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

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15. 15.

    Convert 6.46 kilometres into metres.

    Formula:Metric Length Conversion

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

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16. 16.

    A rectangle is 40 cm long and 29 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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17. 17.

    Find 1/4 of 80.

    Formula:Fraction of a Quantity

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

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18. 18.

    A triangle has a base of 5 cm and a height of 24 cm. Find its area.

    Formula:Area of a Triangle

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

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19. 19.

    What is 20% of 240?

    Formula:Percentage of a Quantity

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

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20. 20.

    An item costs $19.02 and you pay with $20. How much change do you get?

    Formula:Change Due

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

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