Switzerland · Grade 6 · Practice Sheet 46

1. 1.

   Calculate 25 × 11.

   Formula:Multiplication

   $p = a \times b$

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2. 2.

   A rectangle is 17 cm long and 16 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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3. 3.

   A circle has a radius of 16 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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4. 4.

   Find the perimeter of a rectangle measuring 14 m by 21 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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5. 5.

   A circle has a radius of 12 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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6. 6.

   A triangle has a base of 10 cm and a height of 9 cm. Find its area.

   Formula:Area of a Triangle

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

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7. 7.

   CHF 88 is shared in the ratio 4 : 4. Find each share.

   Formula:Dividing in a Ratio

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

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8. 8.

   An item costs CHF 26.49 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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9. 9.

   Find the mean (average) of these numbers: 74, 91, 13, 57, 45.

   Formula:Arithmetic Mean

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

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10. 10.

    A car travels 360 km in 5 hours. Find its average speed.

    Formula:Speed

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

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11. 11.

    Find the area of a square with side length 18 cm.

    Formula:Area of a Square

    $A = s^2$

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12. 12.

    Find 1/2 of 32.

    Formula:Fraction of a Quantity

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

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13. 13.

    Find the mean (average) of these numbers: 12, 33, 54, 36, 58, 65.

    Formula:Arithmetic Mean

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

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14. 14.

    An item costs CHF 22.4 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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15. 15.

    CHF 175 is shared in the ratio 2 : 5. Find each share.

    Formula:Dividing in a Ratio

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

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16. 16.

    A triangle has a base of 39 cm and a height of 14 cm. Find its area.

    Formula:Area of a Triangle

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

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17. 17.

    Find the perimeter of a rectangle measuring 36 m by 32 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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18. 18.

    A car travels 88 km in 2 hours. Find its average speed.

    Formula:Speed

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

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19. 19.

    Find the circumference of a circle whose radius is 30 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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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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