Japan · Grade 6 · Practice Sheet 40

1. 1.

   Find the perimeter of a rectangle measuring 45 m by 11 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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2. 2.

   A train moves at 93 km/h for 5.8 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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3. 3.

   Calculate 70 × 3.

   Formula:Multiplication

   $p = a \times b$

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4. 4.

   ¥18 is shared in the ratio 1 : 1. Find each share.

   Formula:Dividing in a Ratio

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

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5. 5.

   One item costs ¥16.55. Find the total cost of 7 items.

   Formula:Total Cost

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

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6. 6.

   Find the mean (average) of these numbers: 66, 77, 32, 14, 56.

   Formula:Arithmetic Mean

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

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7. 7.

   ¥2,900 is invested at 4% simple interest per year for 3 years. Find the interest earned.

   Formula:Simple Interest

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

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8. 8.

   Find 1/2 of 28.

   Formula:Fraction of a Quantity

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

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9. 9.

   Find the area of a square with side length 25 cm.

   Formula:Area of a Square

   $A = s^2$

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10. 10.

    An item costs ¥23.82 and you pay with ¥30. How much change do you get?

    Formula:Change Due

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

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11. 11.

    ¥64 is shared in the ratio 1 : 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.

    Convert 4.51 kilometres into metres.

    Formula:Metric Length Conversion

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

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13. 13.

    Find 4/5 of 85.

    Formula:Fraction of a Quantity

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

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14. 14.

    An item costs ¥24.52 and you pay with ¥40. How much change do you get?

    Formula:Change Due

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

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15. 15.

    What is 25% of 110?

    Formula:Percentage of a Quantity

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

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16. 16.

    Find the circumference of a circle whose radius is 18 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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17. 17.

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

    Formula:Area of a Square

    $A = s^2$

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18. 18.

    Convert 8.05 kilometres into metres.

    Formula:Metric Length Conversion

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

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19. 19.

    Find the perimeter of a rectangle measuring 13 m by 26 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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20. 20.

    Calculate 360 ÷ 10.

    Formula:Division

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

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