Germany · Klasse 5 · Practice Sheet 34

1. 1.

   A triangle has a base of 6 cm and a height of 6 cm. Find its area.

   Formula:Area of a Triangle

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

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2. 2.

   Calculate 63 ÷ 9.

   Formula:Division

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

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3. 3.

   A triangle has a base of 5 cm and a height of 19 cm. Find its area.

   Formula:Area of a Triangle

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

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4. 4.

   A car travels 155 km in 5 hours. Find its average speed.

   Formula:Speed

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

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5. 5.

   An item costs €20.5 and you pay with €40. How much change do you get?

   Formula:Change Due

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

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6. 6.

   Calculate 174 ÷ 6.

   Formula:Division

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

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7. 7.

   Convert 5.92 kilometres into metres.

   Formula:Metric Length Conversion

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

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8. 8.

   Find 3/4 of 24.

   Formula:Fraction of a Quantity

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

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9. 9.

   A rectangle is 23 cm long and 11 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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10. 10.

    An item costs €41.07 and you pay with €50. How much change do you get?

    Formula:Change Due

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

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11. 11.

    A train moves at 52 km/h for 3.2 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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12. 12.

    Find the area of a square with side length 16 cm.

    Formula:Area of a Square

    $A = s^2$

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13. 13.

    One item costs €23.21. Find the total cost of 15 items.

    Formula:Total Cost

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

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14. 14.

    Find the mean (average) of these numbers: 37, 77, 60, 60.

    Formula:Arithmetic Mean

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

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15. 15.

    A triangle has a base of 37 cm and a height of 8 cm. Find its area.

    Formula:Area of a Triangle

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

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16. 16.

    What is 50% of 170?

    Formula:Percentage of a Quantity

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

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17. 17.

    Calculate 92 × 10.

    Formula:Multiplication

    $p = a \times b$

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18. 18.

    Find the area of a square with side length 19 cm.

    Formula:Area of a Square

    $A = s^2$

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19. 19.

    An item costs €13.11 and you pay with €20. How much change do you get?

    Formula:Change Due

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

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20. 20.

    Calculate 75 × 4.

    Formula:Multiplication

    $p = a \times b$

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