Japan · Grade 6 · Practice Sheet 31

1. 1.

   A triangle has a base of 30 cm and a height of 13 cm. Find its area.

   Formula:Area of a Triangle

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

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2. 2.

   A train moves at 68 km/h for 4.5 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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3. 3.

   Convert 10.93 kilometres into metres.

   Formula:Metric Length Conversion

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

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4. 4.

   ¥4,200 is invested at 6% simple interest per year for 2 years. Find the interest earned.

   Formula:Simple Interest

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

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5. 5.

   One item costs ¥17.91. Find the total cost of 15 items.

   Formula:Total Cost

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

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6. 6.

   Convert 6.11 kilometres into metres.

   Formula:Metric Length Conversion

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

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7. 7.

   A triangle has a base of 14 cm and a height of 19 cm. Find its area.

   Formula:Area of a Triangle

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

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8. 8.

   Find the circumference of a circle whose radius is 8 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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9. 9.

   Calculate 456 ÷ 12.

   Formula:Division

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

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10. 10.

    An item costs ¥33.84 and you pay with ¥50. How much change do you get?

    Formula:Change Due

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

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11. 11.

    ¥60 is shared in the ratio 2 : 1. Find each share.

    Formula:Dividing in a Ratio

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

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12. 12.

    One item costs ¥4.39. Find the total cost of 13 items.

    Formula:Total Cost

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

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13. 13.

    ¥208 is shared in the ratio 4 : 4. Find each share.

    Formula:Dividing in a Ratio

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

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14. 14.

    A triangle has a base of 34 cm and a height of 17 cm. Find its area.

    Formula:Area of a Triangle

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

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15. 15.

    Find the perimeter of a rectangle measuring 35 m by 33 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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16. 16.

    Find the mean (average) of these numbers: 37, 49, 73, 23.

    Formula:Arithmetic Mean

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

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17. 17.

    Find 1/2 of 40.

    Formula:Fraction of a Quantity

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

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18. 18.

    An item costs ¥20.93 and you pay with ¥40. How much change do you get?

    Formula:Change Due

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

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19. 19.

    One item costs ¥21.34. Find the total cost of 8 items.

    Formula:Total Cost

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

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20. 20.

    An item costs ¥2.07 and you pay with ¥10. How much change do you get?

    Formula:Change Due

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

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