Austria · Klasse 5 · Practice Sheet 49

1. 1.

   Find the mean (average) of these numbers: 71, 39, 71, 79, 81.

   Formula:Arithmetic Mean

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

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2. 2.

   Find the perimeter of a rectangle measuring 11 m by 26 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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3. 3.

   A car travels 763 km in 7 hours. Find its average speed.

   Formula:Speed

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

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4. 4.

   A train moves at 29 km/h for 2 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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5. 5.

   Find the mean (average) of these numbers: 36, 16, 28, 20, 38, 66.

   Formula:Arithmetic Mean

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

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6. 6.

   A triangle has a base of 7 cm and a height of 22 cm. Find its area.

   Formula:Area of a Triangle

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

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7. 7.

   One item costs €2.92. Find the total cost of 14 items.

   Formula:Total Cost

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

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8. 8.

   Find the mean (average) of these numbers: 86, 43, 58, 97.

   Formula:Arithmetic Mean

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

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9. 9.

   What is 20% of 490?

   Formula:Percentage of a Quantity

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

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10. 10.

    Find 2/5 of 55.

    Formula:Fraction of a Quantity

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

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11. 11.

    Find the perimeter of a rectangle measuring 26 m by 5 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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12. 12.

    Calculate 429 ÷ 11.

    Formula:Division

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

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13. 13.

    One item costs €5.54. Find the total cost of 14 items.

    Formula:Total Cost

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

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14. 14.

    Find the area of a square with side length 15 cm.

    Formula:Area of a Square

    $A = s^2$

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15. 15.

    An item costs €17.52 and you pay with €20. How much change do you get?

    Formula:Change Due

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

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16. 16.

    A rectangle is 14 cm long and 12 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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17. 17.

    Find the perimeter of a rectangle measuring 41 m by 15 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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18. 18.

    Convert 5.57 kilometres into metres.

    Formula:Metric Length Conversion

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

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19. 19.

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

    Formula:Area of a Square

    $A = s^2$

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20. 20.

    What is 10% of 40?

    Formula:Percentage of a Quantity

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

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