Germany · Klasse 4 · Practice Sheet 1

1. 1.

   Find the mean (average) of these numbers: 57, 26, 49, 78, 90, 46.

   Formula:Arithmetic Mean

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

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2. 2.

   Convert 1.24 kilometres into metres.

   Formula:Metric Length Conversion

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

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3. 3.

   One item costs €20.54. Find the total cost of 17 items.

   Formula:Total Cost

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

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4. 4.

   Calculate 432 ÷ 12.

   Formula:Division

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

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5. 5.

   Convert 10.42 kilometres into metres.

   Formula:Metric Length Conversion

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

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6. 6.

   An item costs €20.67 and you pay with €30. How much change do you get?

   Formula:Change Due

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

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7. 7.

   What is 10 × 5?

   Formula:Multiplication (Times Tables)

   $\text{product} = a \times b$

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8. 8.

   Find the area of a square with side length 24 cm.

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   Find the perimeter of a rectangle measuring 22 m by 33 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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10. 10.

    16 sweets are shared equally among 4 children. How many does each child get?

    Formula:Division (Equal Sharing)

    $\text{each} = \text{total} \div \text{groups}$

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11. 11.

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

    Formula:Area of a Square

    $A = s^2$

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12. 12.

    An item costs €16.01 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.

    Find the perimeter of a rectangle measuring 23 m by 20 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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14. 14.

    6 sweets are shared equally among 3 children. How many does each child get?

    Formula:Division (Equal Sharing)

    $\text{each} = \text{total} \div \text{groups}$

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15. 15.

    One item costs €7.41. Find the total cost of 12 items.

    Formula:Total Cost

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

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16. 16.

    What is 2 × 9?

    Formula:Multiplication (Times Tables)

    $\text{product} = a \times b$

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17. 17.

    A rectangle is 27 cm long and 28 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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18. 18.

    What is 7 × 6?

    Formula:Multiplication (Times Tables)

    $\text{product} = a \times b$

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19. 19.

    Calculate 63 ÷ 3.

    Formula:Division

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

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20. 20.

    Find 2/5 of 45.

    Formula:Fraction of a Quantity

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

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