Austria · Klasse 6 · Practice Sheet 37

1. 1.

   A circle has a radius of 19 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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2. 2.

   Find the circumference of a circle whose radius is 14 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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3. 3.

   Calculate 75 × 5.

   Formula:Multiplication

   $p = a \times b$

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4. 4.

   An item costs €25.67 and you pay with €40. How much change do you get?

   Formula:Change Due

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

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5. 5.

   Find the circumference of a circle whose radius is 8 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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6. 6.

   Calculate 145 ÷ 5.

   Formula:Division

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

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7. 7.

   €700 is invested at 10% simple interest per year for 3 years. Find the interest earned.

   Formula:Simple Interest

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

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8. 8.

   Find the mean (average) of these numbers: 41, 58, 58, 79, 25.

   Formula:Arithmetic Mean

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

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9. 9.

   Calculate 15 × 3.

   Formula:Multiplication

   $p = a \times b$

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10. 10.

    A rectangle is 35 cm long and 25 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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11. 11.

    A triangle has a base of 8 cm and a height of 7 cm. Find its area.

    Formula:Area of a Triangle

    $A = \tfrac{1}{2} b h$

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12. 12.

    One item costs €5.36. Find the total cost of 10 items.

    Formula:Total Cost

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

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13. 13.

    Calculate 162 ÷ 6.

    Formula:Division

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

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14. 14.

    What is 15% of 120?

    Formula:Percentage of a Quantity

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

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15. 15.

    Find 3/8 of 128.

    Formula:Fraction of a Quantity

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

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16. 16.

    Find the area of a square with side length 15 cm.

    Formula:Area of a Square

    $A = s^2$

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17. 17.

    What is 10% of 320?

    Formula:Percentage of a Quantity

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

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18. 18.

    A circle has a radius of 21 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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19. 19.

    Find 2/3 of 12.

    Formula:Fraction of a Quantity

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

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20. 20.

    Calculate 350 ÷ 10.

    Formula:Division

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

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