China · Grade 6 · Practice Sheet 40

1. 1.

   A car travels 189 km in 3 hours. Find its average speed.

   Formula:Speed

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

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2. 2.

   Convert 2.55 kilometres into metres.

   Formula:Metric Length Conversion

   $1\,\text{km} = 1000\,\text{m}$

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3. 3.

   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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4. 4.

   One item costs ¥8.08. Find the total cost of 12 items.

   Formula:Total Cost

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

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5. 5.

   What is 25% of 430?

   Formula:Percentage of a Quantity

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

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6. 6.

   A rectangle is 22 cm long and 25 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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7. 7.

   Find the mean (average) of these numbers: 55, 14, 27, 31, 63, 15.

   Formula:Arithmetic Mean

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

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8. 8.

   Find the area of a square with side length 23 cm.

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   An item costs ¥2.11 and you pay with ¥10. How much change do you get?

   Formula:Change Due

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

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10. 10.

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

    Formula:Area of a Square

    $A = s^2$

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11. 11.

    What is 15% of 160?

    Formula:Percentage of a Quantity

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

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12. 12.

    A train moves at 69 km/h for 4 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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13. 13.

    What is 75% of 170?

    Formula:Percentage of a Quantity

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

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14. 14.

    Calculate 319 ÷ 11.

    Formula:Division

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

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15. 15.

    Find the area of a square with side length 14 cm.

    Formula:Area of a Square

    $A = s^2$

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16. 16.

    A train moves at 66 km/h for 2.5 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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17. 17.

    Calculate 60 ÷ 4.

    Formula:Division

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

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18. 18.

    Find the area of a square with side length 4 cm.

    Formula:Area of a Square

    $A = s^2$

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19. 19.

    ¥78 is shared in the ratio 2 : 4. Find each share.

    Formula:Dividing in a Ratio

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

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20. 20.

    Find the perimeter of a rectangle measuring 26 m by 30 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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