Switzerland · Grade 6 · Practice Sheet 19

1. 1.

   A circle has a radius of 20 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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2. 2.

   CHF 55 is shared in the ratio 4 : 1. Find each share.

   Formula:Dividing in a Ratio

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

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3. 3.

   Find the circumference of a circle whose radius is 7 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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4. 4.

   A car travels 140 km in 4 hours. Find its average speed.

   Formula:Speed

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

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5. 5.

   An item costs CHF 35.29 and you pay with CHF 40. How much change do you get?

   Formula:Change Due

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

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6. 6.

   CHF 264 is shared in the ratio 5 : 3. Find each share.

   Formula:Dividing in a Ratio

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

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7. 7.

   A car travels 550 km in 5 hours. Find its average speed.

   Formula:Speed

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

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8. 8.

   Calculate 95 ÷ 5.

   Formula:Division

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

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9. 9.

   Find the area of a square with side length 22 cm.

   Formula:Area of a Square

   $A = s^2$

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10. 10.

    CHF 5,000 is invested at 3% simple interest per year for 5 years. Find the interest earned.

    Formula:Simple Interest

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

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11. 11.

    One item costs CHF 16.24. Find the total cost of 14 items.

    Formula:Total Cost

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

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12. 12.

    CHF 132 is shared in the ratio 1 : 3. Find each share.

    Formula:Dividing in a Ratio

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

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13. 13.

    Calculate 73 × 12.

    Formula:Multiplication

    $p = a \times b$

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14. 14.

    Find the area of a square with side length 14 cm.

    Formula:Area of a Square

    $A = s^2$

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15. 15.

    A rectangle is 30 cm long and 19 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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16. 16.

    Calculate 187 ÷ 11.

    Formula:Division

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

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17. 17.

    One item costs CHF 5.37. Find the total cost of 20 items.

    Formula:Total Cost

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

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18. 18.

    Find the mean (average) of these numbers: 32, 99, 95, 72, 42.

    Formula:Arithmetic Mean

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

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19. 19.

    What is 5% of 510?

    Formula:Percentage of a Quantity

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

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20. 20.

    Find 2/3 of 45.

    Formula:Fraction of a Quantity

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

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