Japan · Grade 6 · Practice Sheet 1

1. 1.

   A circle has a radius of 19 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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2. 2.

   Calculate 81 × 5.

   Formula:Multiplication

   $p = a \times b$

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3. 3.

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

   Formula:Area of a Square

   $A = s^2$

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4. 4.

   ¥135 is shared in the ratio 2 : 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.

   What is 40% of 600?

   Formula:Percentage of a Quantity

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

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6. 6.

   A train moves at 82 km/h for 3.5 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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7. 7.

   A triangle has a base of 21 cm and a height of 28 cm. Find its area.

   Formula:Area of a Triangle

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

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8. 8.

   What is 25% of 350?

   Formula:Percentage of a Quantity

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

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9. 9.

   Find the mean (average) of these numbers: 78, 12, 92, 26.

   Formula:Arithmetic Mean

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

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10. 10.

    Calculate 70 × 11.

    Formula:Multiplication

    $p = a \times b$

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11. 11.

    A triangle has a base of 19 cm and a height of 12 cm. Find its area.

    Formula:Area of a Triangle

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

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12. 12.

    Calculate 58 × 11.

    Formula:Multiplication

    $p = a \times b$

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13. 13.

    A car travels 222 km in 6 hours. Find its average speed.

    Formula:Speed

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

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14. 14.

    Calculate 85 ÷ 5.

    Formula:Division

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

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15. 15.

    Find the mean (average) of these numbers: 61, 40, 21, 26, 46.

    Formula:Arithmetic Mean

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

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16. 16.

    Calculate 25 × 6.

    Formula:Multiplication

    $p = a \times b$

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17. 17.

    Find 1/4 of 16.

    Formula:Fraction of a Quantity

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

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18. 18.

    An item costs ¥19.34 and you pay with ¥20. How much change do you get?

    Formula:Change Due

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

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19. 19.

    A triangle has a base of 30 cm and a height of 25 cm. Find its area.

    Formula:Area of a Triangle

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

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20. 20.

    A car travels 140 km in 2 hours. Find its average speed.

    Formula:Speed

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

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