Japan · Grade 6 · Practice Sheet 13

1. 1.

   Calculate 306 ÷ 9.

   Formula:Division

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

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2. 2.

   Calculate 94 × 10.

   Formula:Multiplication

   $p = a \times b$

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3. 3.

   Find the mean (average) of these numbers: 21, 88, 57, 79.

   Formula:Arithmetic Mean

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

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4. 4.

   Calculate 112 ÷ 7.

   Formula:Division

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

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5. 5.

   Find 1/2 of 38.

   Formula:Fraction of a Quantity

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

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6. 6.

   ¥4,700 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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7. 7.

   ¥85 is shared in the ratio 1 : 4. Find each share.

   Formula:Dividing in a Ratio

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

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8. 8.

   Find the mean (average) of these numbers: 15, 57, 65, 33, 51.

   Formula:Arithmetic Mean

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

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9. 9.

   An item costs ¥13.86 and you pay with ¥30. How much change do you get?

   Formula:Change Due

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

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10. 10.

    ¥2,600 is invested at 7.5% 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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11. 11.

    A car travels 416 km in 4 hours. Find its average speed.

    Formula:Speed

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

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12. 12.

    A train moves at 43 km/h for 5.6 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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13. 13.

    Find 2/5 of 35.

    Formula:Fraction of a Quantity

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

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14. 14.

    A car travels 265 km in 5 hours. Find its average speed.

    Formula:Speed

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

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15. 15.

    An item costs ¥25.91 and you pay with ¥40. How much change do you get?

    Formula:Change Due

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

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16. 16.

    Convert 10.47 kilometres into metres.

    Formula:Metric Length Conversion

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

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17. 17.

    Find 7/8 of 160.

    Formula:Fraction of a Quantity

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

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18. 18.

    Calculate 48 × 3.

    Formula:Multiplication

    $p = a \times b$

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19. 19.

    Convert 2.04 kilometres into metres.

    Formula:Metric Length Conversion

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

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20. 20.

    ¥4,400 is invested at 8% 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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