Switzerland · Grade 6 · Practice Sheet 49

1. 1.

   A train moves at 66 km/h for 2.8 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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2. 2.

   CHF 174 is shared in the ratio 1 : 5. Find each share.

   Formula:Dividing in a Ratio

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

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3. 3.

   Find the perimeter of a rectangle measuring 14 m by 13 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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4. 4.

   CHF 136 is shared in the ratio 1 : 3. Find each share.

   Formula:Dividing in a Ratio

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

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5. 5.

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

   Formula:Area of a Square

   $A = s^2$

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6. 6.

   Calculate 40 × 10.

   Formula:Multiplication

   $p = a \times b$

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7. 7.

   CHF 75 is shared in the ratio 1 : 2. Find each share.

   Formula:Dividing in a Ratio

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

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8. 8.

   What is 15% of 330?

   Formula:Percentage of a Quantity

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

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9. 9.

   One item costs CHF 8.25. Find the total cost of 9 items.

   Formula:Total Cost

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

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10. 10.

    Calculate 33 × 6.

    Formula:Multiplication

    $p = a \times b$

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11. 11.

    Find the mean (average) of these numbers: 86, 49, 70, 48, 68.

    Formula:Arithmetic Mean

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

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12. 12.

    Calculate 60 ÷ 6.

    Formula:Division

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

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13. 13.

    Find the area of a square with side length 28 cm.

    Formula:Area of a Square

    $A = s^2$

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14. 14.

    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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15. 15.

    CHF 96 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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16. 16.

    Find the area of a square with side length 6 cm.

    Formula:Area of a Square

    $A = s^2$

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17. 17.

    Find the circumference of a circle whose radius is 18 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 9 m by 10 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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19. 19.

    CHF 1,200 is invested at 7.5% 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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20. 20.

    One item costs CHF 14.53. Find the total cost of 5 items.

    Formula:Total Cost

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

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