Germany · Klasse 5 · Practice Sheet 36

1. 1.

   A triangle has a base of 21 cm and a height of 21 cm. Find its area.

   Formula:Area of a Triangle

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

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2. 2.

   A car travels 204 km in 4 hours. Find its average speed.

   Formula:Speed

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

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3. 3.

   A train moves at 83 km/h for 2.1 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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4. 4.

   Find the perimeter of a rectangle measuring 36 m by 21 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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5. 5.

   Find the mean (average) of these numbers: 78, 89, 78, 78.

   Formula:Arithmetic Mean

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

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6. 6.

   What is 75% of 280?

   Formula:Percentage of a Quantity

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

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7. 7.

   A car travels 210 km in 6 hours. Find its average speed.

   Formula:Speed

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

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8. 8.

   A train moves at 74 km/h for 4.2 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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9. 9.

   One item costs €12.75. Find the total cost of 9 items.

   Formula:Total Cost

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

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10. 10.

    Calculate 61 × 3.

    Formula:Multiplication

    $p = a \times b$

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11. 11.

    Calculate 360 ÷ 12.

    Formula:Division

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

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12. 12.

    Find the perimeter of a rectangle measuring 23 m by 11 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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13. 13.

    Convert 8.44 kilometres into metres.

    Formula:Metric Length Conversion

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

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14. 14.

    What is 50% of 330?

    Formula:Percentage of a Quantity

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

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15. 15.

    Find the area of a square with side length 7 cm.

    Formula:Area of a Square

    $A = s^2$

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16. 16.

    An item costs €36.17 and you pay with €40. How much change do you get?

    Formula:Change Due

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

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17. 17.

    A train moves at 47 km/h for 2.1 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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18. 18.

    Calculate 43 × 10.

    Formula:Multiplication

    $p = a \times b$

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19. 19.

    What is 5% of 100?

    Formula:Percentage of a Quantity

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

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20. 20.

    A triangle has a base of 35 cm and a height of 29 cm. Find its area.

    Formula:Area of a Triangle

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

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