Germany · Klasse 5 · Practice Sheet 1

1. 1.

   A triangle has a base of 36 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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2. 2.

   One item costs €9.24. Find the total cost of 20 items.

   Formula:Total Cost

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

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3. 3.

   A rectangle is 16 cm long and 5 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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4. 4.

   A car travels 392 km in 7 hours. Find its average speed.

   Formula:Speed

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

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5. 5.

   A train moves at 99 km/h for 3 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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6. 6.

   Calculate 175 ÷ 5.

   Formula:Division

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

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7. 7.

   Find the perimeter of a rectangle measuring 10 m by 22 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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8. 8.

   Calculate 156 ÷ 6.

   Formula:Division

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

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9. 9.

   Find the perimeter of a rectangle measuring 12 m by 8 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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10. 10.

    An item costs €11.07 and you pay with €20. How much change do you get?

    Formula:Change Due

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

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11. 11.

    Find the perimeter of a rectangle measuring 24 m by 11 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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12. 12.

    What is 20% of 110?

    Formula:Percentage of a Quantity

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

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13. 13.

    A car travels 244 km in 4 hours. Find its average speed.

    Formula:Speed

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

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14. 14.

    Find 2/3 of 15.

    Formula:Fraction of a Quantity

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

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15. 15.

    Find the perimeter of a rectangle measuring 5 m by 32 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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16. 16.

    Calculate 21 × 6.

    Formula:Multiplication

    $p = a \times b$

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17. 17.

    Find the mean (average) of these numbers: 75, 66, 27, 66.

    Formula:Arithmetic Mean

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

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18. 18.

    Find 1/2 of 18.

    Formula:Fraction of a Quantity

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

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19. 19.

    Calculate 140 ÷ 7.

    Formula:Division

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

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20. 20.

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

    Formula:Area of a Square

    $A = s^2$

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