Switzerland · Grade 6 · Practice Sheet 41

1. 1.

   A rectangle is 24 cm long and 3 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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2. 2.

   A circle has a radius of 24 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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3. 3.

   CHF 54 is shared in the ratio 5 : 1. Find each share.

   Formula:Dividing in a Ratio

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

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4. 4.

   Find 1/4 of 64.

   Formula:Fraction of a Quantity

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

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5. 5.

   CHF 4,200 is invested at 4% simple interest per year for 4 years. Find the interest earned.

   Formula:Simple Interest

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

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6. 6.

   Find the perimeter of a rectangle measuring 36 m by 13 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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7. 7.

   What is 10% of 70?

   Formula:Percentage of a Quantity

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

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8. 8.

   Calculate 45 ÷ 3.

   Formula:Division

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

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9. 9.

   Find the mean (average) of these numbers: 29, 81, 71, 98, 33.

   Formula:Arithmetic Mean

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

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10. 10.

    What is 25% of 270?

    Formula:Percentage of a Quantity

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

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11. 11.

    Find the perimeter of a rectangle measuring 21 m by 17 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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12. 12.

    Find the circumference of a circle whose radius is 11 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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13. 13.

    Find the mean (average) of these numbers: 41, 79, 71, 82.

    Formula:Arithmetic Mean

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

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14. 14.

    Calculate 252 ÷ 9.

    Formula:Division

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

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15. 15.

    Find the area of a square with side length 3 cm.

    Formula:Area of a Square

    $A = s^2$

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16. 16.

    What is 12% of 480?

    Formula:Percentage of a Quantity

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

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17. 17.

    Find the circumference of a circle whose radius is 9 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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18. 18.

    Find the perimeter of a rectangle measuring 39 m by 7 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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19. 19.

    An item costs CHF 36.67 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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20. 20.

    A circle has a radius of 24 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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