South Korea · Grade 6 · Practice Sheet 19

1. 1.

   ₩162 is shared in the ratio 4 : 5. Find each share.

   Formula:Dividing in a Ratio

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

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2. 2.

   Find 1/8 of 112.

   Formula:Fraction of a Quantity

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

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3. 3.

   Find the circumference of a circle whose radius is 5 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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4. 4.

   An item costs ₩26.99 and you pay with ₩30. How much change do you get?

   Formula:Change Due

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

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5. 5.

   Find 2/5 of 100.

   Formula:Fraction of a Quantity

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

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6. 6.

   A rectangle is 29 cm long and 28 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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7. 7.

   A train moves at 85 km/h for 3 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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8. 8.

   Find the perimeter of a rectangle measuring 7 m by 23 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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9. 9.

   Calculate 29 × 11.

   Formula:Multiplication

   $p = a \times b$

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10. 10.

    Convert 1.3 kilometres into metres.

    Formula:Metric Length Conversion

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

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11. 11.

    A train moves at 71 km/h for 1.5 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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12. 12.

    ₩3,800 is invested at 6% simple interest per year for 6 years. Find the interest earned.

    Formula:Simple Interest

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

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13. 13.

    Find the perimeter of a rectangle measuring 38 m by 22 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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14. 14.

    A rectangle is 6 cm long and 23 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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15. 15.

    Find the area of a square with side length 7 cm.

    Formula:Area of a Square

    $A = s^2$

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16. 16.

    Find the mean (average) of these numbers: 92, 19, 25, 18, 17, 87.

    Formula:Arithmetic Mean

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

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17. 17.

    A train moves at 30 km/h for 3.6 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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18. 18.

    Find the area of a square with side length 9 cm.

    Formula:Area of a Square

    $A = s^2$

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19. 19.

    A train moves at 91 km/h for 5.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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20. 20.

    Calculate 99 ÷ 9.

    Formula:Division

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

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