Germany · Klasse 5 · Practice Sheet 7

1. 1.

   A train moves at 81 km/h for 5.1 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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2. 2.

   Find the mean (average) of these numbers: 66, 35, 34, 46.

   Formula:Arithmetic Mean

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

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3. 3.

   One item costs €8.49. Find the total cost of 14 items.

   Formula:Total Cost

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

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4. 4.

   Calculate 48 × 6.

   Formula:Multiplication

   $p = a \times b$

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5. 5.

   Calculate 40 ÷ 4.

   Formula:Division

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

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6. 6.

   Find the area of a square with side length 13 cm.

   Formula:Area of a Square

   $A = s^2$

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7. 7.

   One item costs €6.97. Find the total cost of 15 items.

   Formula:Total Cost

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

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8. 8.

   Find the mean (average) of these numbers: 10, 46, 10, 23, 47.

   Formula:Arithmetic Mean

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

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9. 9.

   Find the area of a square with side length 23 cm.

   Formula:Area of a Square

   $A = s^2$

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10. 10.

    Convert 2.99 kilometres into metres.

    Formula:Metric Length Conversion

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

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11. 11.

    Find 1/8 of 136.

    Formula:Fraction of a Quantity

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

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12. 12.

    Find the perimeter of a rectangle measuring 23 m by 15 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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13. 13.

    Convert 1.44 kilometres into metres.

    Formula:Metric Length Conversion

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

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14. 14.

    An item costs €19.6 and you pay with €30. How much change do you get?

    Formula:Change Due

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

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15. 15.

    A rectangle is 16 cm long and 21 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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16. 16.

    Convert 1.44 kilometres into metres.

    Formula:Metric Length Conversion

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

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17. 17.

    An item costs €2.72 and you pay with €20. How much change do you get?

    Formula:Change Due

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

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18. 18.

    One item costs €2.98. Find the total cost of 12 items.

    Formula:Total Cost

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

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19. 19.

    Convert 8.52 kilometres into metres.

    Formula:Metric Length Conversion

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

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20. 20.

    A train moves at 99 km/h for 3.8 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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