Switzerland · Grade 6 · Practice Sheet 37

1. 1.

   What is 15% of 310?

   Formula:Percentage of a Quantity

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

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2. 2.

   An item costs CHF 39.88 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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3. 3.

   Calculate 156 ÷ 4.

   Formula:Division

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

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4. 4.

   Find the area of a square with side length 17 cm.

   Formula:Area of a Square

   $A = s^2$

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5. 5.

   Find the mean (average) of these numbers: 10, 23, 33, 50.

   Formula:Arithmetic Mean

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

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6. 6.

   A car travels 296 km in 4 hours. Find its average speed.

   Formula:Speed

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

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7. 7.

   A triangle has a base of 39 cm and a height of 16 cm. Find its area.

   Formula:Area of a Triangle

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

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8. 8.

   One item costs CHF 7.53. Find the total cost of 10 items.

   Formula:Total Cost

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

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9. 9.

   Find the area of a square with side length 29 cm.

   Formula:Area of a Square

   $A = s^2$

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10. 10.

    A triangle has a base of 25 cm and a height of 13 cm. Find its area.

    Formula:Area of a Triangle

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

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11. 11.

    Find the area of a square with side length 9 cm.

    Formula:Area of a Square

    $A = s^2$

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12. 12.

    Find the circumference of a circle whose radius is 6 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, 10, 20, 92, 19.

    Formula:Arithmetic Mean

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

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14. 14.

    A circle has a radius of 10 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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15. 15.

    An item costs CHF 21.56 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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16. 16.

    One item costs CHF 10.04. Find the total cost of 20 items.

    Formula:Total Cost

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

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17. 17.

    Find the perimeter of a rectangle measuring 6 m by 24 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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18. 18.

    A triangle has a base of 10 cm and a height of 8 cm. Find its area.

    Formula:Area of a Triangle

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

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19. 19.

    Calculate 240 ÷ 12.

    Formula:Division

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

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20. 20.

    A train moves at 28 km/h for 2.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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