Hong Kong · Grade 6 · Practice Sheet 19

1. 1.

   Find 2/3 of 21.

   Formula:Fraction of a Quantity

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

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2. 2.

   A rectangle is 30 cm long and 26 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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3. 3.

   A circle has a radius of 3 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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4. 4.

   One item costs HK$ 15.43. Find the total cost of 6 items.

   Formula:Total Cost

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

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5. 5.

   Find the perimeter of a rectangle measuring 37 m by 24 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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6. 6.

   Calculate 363 ÷ 11.

   Formula:Division

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

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7. 7.

   HK$ 104 is shared in the ratio 1 : 3. Find each share.

   Formula:Dividing in a Ratio

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

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8. 8.

   Calculate 330 ÷ 11.

   Formula:Division

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

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9. 9.

   HK$ 4,000 is invested at 8% 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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10. 10.

    A triangle has a base of 38 cm and a height of 8 cm. Find its area.

    Formula:Area of a Triangle

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

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11. 11.

    A train moves at 85 km/h for 2.4 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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12. 12.

    Convert 5.24 kilometres into metres.

    Formula:Metric Length Conversion

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

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13. 13.

    A car travels 220 km in 4 hours. Find its average speed.

    Formula:Speed

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

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14. 14.

    Convert 9.71 kilometres into metres.

    Formula:Metric Length Conversion

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

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15. 15.

    HK$ 3,500 is invested at 7.5% 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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16. 16.

    Find the mean (average) of these numbers: 50, 81, 86, 18.

    Formula:Arithmetic Mean

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

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17. 17.

    One item costs HK$ 22. Find the total cost of 5 items.

    Formula:Total Cost

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

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18. 18.

    Find 2/4 of 64.

    Formula:Fraction of a Quantity

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

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19. 19.

    Calculate 80 ÷ 8.

    Formula:Division

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

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20. 20.

    Find the perimeter of a rectangle measuring 17 m by 29 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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