Switzerland · Grade 6 · Practice Sheet 9

1. 1.

   One item costs CHF 2.31. Find the total cost of 3 items.

   Formula:Total Cost

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

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2. 2.

   Calculate 71 × 11.

   Formula:Multiplication

   $p = a \times b$

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3. 3.

   Find the mean (average) of these numbers: 96, 70, 53, 95.

   Formula:Arithmetic Mean

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

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4. 4.

   CHF 85 is shared in the ratio 3 : 2. Find each share.

   Formula:Dividing in a Ratio

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

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5. 5.

   A rectangle is 29 cm long and 29 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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6. 6.

   Find the perimeter of a rectangle measuring 8 m by 8 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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7. 7.

   A circle has a radius of 17 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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8. 8.

   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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9. 9.

   Find the perimeter of a rectangle measuring 20 m by 13 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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10. 10.

    A circle has a radius of 6 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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11. 11.

    Find 5/8 of 160.

    Formula:Fraction of a Quantity

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

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12. 12.

    A train moves at 80 km/h for 5.2 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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13. 13.

    Calculate 89 × 12.

    Formula:Multiplication

    $p = a \times b$

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14. 14.

    Find the mean (average) of these numbers: 90, 49, 17, 26, 71, 48.

    Formula:Arithmetic Mean

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

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15. 15.

    A rectangle is 11 cm long and 18 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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16. 16.

    Find 2/3 of 27.

    Formula:Fraction of a Quantity

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

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17. 17.

    Calculate 37 × 4.

    Formula:Multiplication

    $p = a \times b$

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18. 18.

    Calculate 234 ÷ 9.

    Formula:Division

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

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19. 19.

    Find the mean (average) of these numbers: 32, 71, 21, 87, 85.

    Formula:Arithmetic Mean

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

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20. 20.

    A train moves at 100 km/h for 4.7 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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