China · Grade 6 · Practice Sheet 34

1. 1.

   What is 40% of 450?

   Formula:Percentage of a Quantity

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

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2. 2.

   A circle has a radius of 25 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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3. 3.

   ¥155 is shared in the ratio 4 : 1. Find each share.

   Formula:Dividing in a Ratio

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

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4. 4.

   A train moves at 46 km/h for 3.8 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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5. 5.

   Find the area of a square with side length 13 cm.

   Formula:Area of a Square

   $A = s^2$

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6. 6.

   One item costs ¥17.4. Find the total cost of 16 items.

   Formula:Total Cost

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

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7. 7.

   Calculate 79 × 4.

   Formula:Multiplication

   $p = a \times b$

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8. 8.

   A triangle has a base of 40 cm and a height of 27 cm. Find its area.

   Formula:Area of a Triangle

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

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9. 9.

   ¥2,500 is invested at 8% simple interest per year for 6 years. Find the interest earned.

   Formula:Simple Interest

   $I = \dfrac{P \times r \times t}{100}$

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10. 10.

    An item costs ¥17.47 and you pay with ¥20. How much change do you get?

    Formula:Change Due

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

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11. 11.

    ¥3,600 is invested at 10% simple interest per year for 5 years. Find the interest earned.

    Formula:Simple Interest

    $I = \dfrac{P \times r \times t}{100}$

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12. 12.

    An item costs ¥27.38 and you pay with ¥40. How much change do you get?

    Formula:Change Due

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

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13. 13.

    A car travels 252 km in 6 hours. Find its average speed.

    Formula:Speed

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

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14. 14.

    An item costs ¥11.73 and you pay with ¥20. How much change do you get?

    Formula:Change Due

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

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15. 15.

    Find the perimeter of a rectangle measuring 23 m by 29 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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16. 16.

    Convert 1.7 kilometres into metres.

    Formula:Metric Length Conversion

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

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17. 17.

    What is 25% of 340?

    Formula:Percentage of a Quantity

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

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18. 18.

    ¥60 is shared in the ratio 3 : 1. Find each share.

    Formula:Dividing in a Ratio

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

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19. 19.

    What is 10% of 160?

    Formula:Percentage of a Quantity

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

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20. 20.

    A circle has a radius of 5 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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