New Zealand · Year 5 · Practice Sheet 7

1. 1.

   Find 1/5 of 95.

   Formula:Fraction of a Quantity

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

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2. 2.

   An item costs $38.89 and you pay with $50. How much change do you get?

   Formula:Change Due

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

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3. 3.

   Calculate 175 ÷ 7.

   Formula:Division

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

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4. 4.

   Find the area of a square with side length 9 cm.

   Formula:Area of a Square

   $A = s^2$

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5. 5.

   A car travels 616 km in 8 hours. Find its average speed.

   Formula:Speed

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

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6. 6.

   A train moves at 72 km/h for 2.7 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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7. 7.

   Convert 5.46 kilometres into metres.

   Formula:Metric Length Conversion

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

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8. 8.

   A car travels 256 km in 8 hours. Find its average speed.

   Formula:Speed

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

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9. 9.

   Find the mean (average) of these numbers: 68, 65, 60, 82, 99, 54.

   Formula:Arithmetic Mean

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

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10. 10.

    Calculate 248 ÷ 8.

    Formula:Division

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

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11. 11.

    Find 1/4 of 52.

    Formula:Fraction of a Quantity

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

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12. 12.

    What is 12% of 490?

    Formula:Percentage of a Quantity

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

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13. 13.

    Find the perimeter of a rectangle measuring 20 m by 5 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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14. 14.

    One item costs $7.13. Find the total cost of 7 items.

    Formula:Total Cost

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

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15. 15.

    Find the mean (average) of these numbers: 85, 91, 59, 89, 15.

    Formula:Arithmetic Mean

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

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16. 16.

    What is 75% of 440?

    Formula:Percentage of a Quantity

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

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17. 17.

    One item costs $21.57. Find the total cost of 8 items.

    Formula:Total Cost

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

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18. 18.

    A triangle has a base of 8 cm and a height of 13 cm. Find its area.

    Formula:Area of a Triangle

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

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19. 19.

    An item costs $21.8 and you pay with $30. How much change do you get?

    Formula:Change Due

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

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20. 20.

    Find the perimeter of a rectangle measuring 22 m by 5 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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