Germany · Klasse 5 · Practice Sheet 2

1. 1.

   A car travels 234 km in 3 hours. Find its average speed.

   Formula:Speed

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

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2. 2.

   Calculate 100 ÷ 5.

   Formula:Division

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

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3. 3.

   One item costs €9.88. Find the total cost of 10 items.

   Formula:Total Cost

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

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4. 4.

   Convert 5.7 kilometres into metres.

   Formula:Metric Length Conversion

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

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5. 5.

   Find 2/3 of 15.

   Formula:Fraction of a Quantity

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

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6. 6.

   One item costs €5.08. Find the total cost of 20 items.

   Formula:Total Cost

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

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7. 7.

   Convert 11.55 kilometres into metres.

   Formula:Metric Length Conversion

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

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8. 8.

   Find the perimeter of a rectangle measuring 37 m by 15 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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9. 9.

   A rectangle is 13 cm long and 6 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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10. 10.

    Find the mean (average) of these numbers: 86, 21, 83, 30, 71.

    Formula:Arithmetic Mean

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

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11. 11.

    Calculate 60 × 6.

    Formula:Multiplication

    $p = a \times b$

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12. 12.

    An item costs €12.13 and you pay with €30. How much change do you get?

    Formula:Change Due

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

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13. 13.

    Convert 1.73 kilometres into metres.

    Formula:Metric Length Conversion

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

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14. 14.

    Find the perimeter of a rectangle measuring 30 m by 15 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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15. 15.

    A train moves at 90 km/h for 3.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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16. 16.

    What is 12% of 340?

    Formula:Percentage of a Quantity

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

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17. 17.

    Find the mean (average) of these numbers: 79, 57, 72, 24.

    Formula:Arithmetic Mean

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

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18. 18.

    Find the area of a square with side length 17 cm.

    Formula:Area of a Square

    $A = s^2$

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19. 19.

    A car travels 756 km in 7 hours. Find its average speed.

    Formula:Speed

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

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20. 20.

    Find the perimeter of a rectangle measuring 26 m by 14 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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