Germany · Klasse 6 · Practice Sheet 32

1. 1.

   Find the mean (average) of these numbers: 21, 62, 21, 19, 25, 35.

   Formula:Arithmetic Mean

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

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2. 2.

   A car travels 148 km in 2 hours. Find its average speed.

   Formula:Speed

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

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3. 3.

   An item costs €8.85 and you pay with €10. How much change do you get?

   Formula:Change Due

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

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4. 4.

   Find 1/2 of 30.

   Formula:Fraction of a Quantity

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

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5. 5.

   Calculate 59 × 9.

   Formula:Multiplication

   $p = a \times b$

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6. 6.

   An item costs €41.15 and you pay with €50. How much change do you get?

   Formula:Change Due

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

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7. 7.

   €117 is shared in the ratio 1 : 2. Find each share.

   Formula:Dividing in a Ratio

   $\text{share} = \dfrac{\text{part}}{\text{total parts}} \times T$

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8. 8.

   One item costs €20.92. Find the total cost of 6 items.

   Formula:Total Cost

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

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9. 9.

   Calculate 200 ÷ 5.

   Formula:Division

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

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10. 10.

    One item costs €4.46. Find the total cost of 3 items.

    Formula:Total Cost

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

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11. 11.

    Find the area of a square with side length 20 cm.

    Formula:Area of a Square

    $A = s^2$

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12. 12.

    A car travels 415 km in 5 hours. Find its average speed.

    Formula:Speed

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

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13. 13.

    One item costs €5.26. Find the total cost of 10 items.

    Formula:Total Cost

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

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14. 14.

    A car travels 336 km in 6 hours. Find its average speed.

    Formula:Speed

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

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15. 15.

    €2,100 is invested at 4% simple interest per year for 6 years. Find the interest earned.

    Formula:Simple Interest

    $I = \dfrac{P \times r \times t}{100}$

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16. 16.

    €24 is shared in the ratio 2 : 1. Find each share.

    Formula:Dividing in a Ratio

    $\text{share} = \dfrac{\text{part}}{\text{total parts}} \times T$

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17. 17.

    Find the mean (average) of these numbers: 26, 80, 99, 45, 90, 16.

    Formula:Arithmetic Mean

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

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18. 18.

    A train moves at 55 km/h for 4.5 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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19. 19.

    Find the mean (average) of these numbers: 44, 11, 52, 32, 70.

    Formula:Arithmetic Mean

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

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20. 20.

    €1,800 is invested at 4% simple interest per year for 2 years. Find the interest earned.

    Formula:Simple Interest

    $I = \dfrac{P \times r \times t}{100}$

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