Japan · Grade 6 · Practice Sheet 10

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 car travels 297 km in 3 hours. Find its average speed.

   Formula:Speed

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

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3. 3.

   Find the circumference of a circle whose radius is 30 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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4. 4.

   Calculate 48 × 3.

   Formula:Multiplication

   $p = a \times b$

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5. 5.

   What is 12% of 270?

   Formula:Percentage of a Quantity

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

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6. 6.

   A rectangle is 32 cm long and 7 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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7. 7.

   Calculate 310 ÷ 10.

   Formula:Division

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

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8. 8.

   Find the area of a square with side length 26 cm.

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   A rectangle is 38 cm long and 10 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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10. 10.

    One item costs ¥6.14. Find the total cost of 16 items.

    Formula:Total Cost

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

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11. 11.

    Calculate 75 × 10.

    Formula:Multiplication

    $p = a \times b$

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12. 12.

    Find the mean (average) of these numbers: 39, 95, 80, 28, 41.

    Formula:Arithmetic Mean

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

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13. 13.

    Find the area of a square with side length 24 cm.

    Formula:Area of a Square

    $A = s^2$

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14. 14.

    A train moves at 92 km/h for 4.7 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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15. 15.

    ¥4,500 is invested at 6% 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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16. 16.

    A rectangle is 35 cm long and 3 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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17. 17.

    An item costs ¥25.88 and you pay with ¥30. How much change do you get?

    Formula:Change Due

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

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18. 18.

    Convert 9.91 kilometres into metres.

    Formula:Metric Length Conversion

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

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19. 19.

    Find the circumference of a circle whose radius is 28 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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20. 20.

    ¥76 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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