Hong Kong · Grade 6 · Practice Sheet 7

1. 1.

   HK$ 2,100 is invested at 3% 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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2. 2.

   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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3. 3.

   Calculate 36 ÷ 9.

   Formula:Division

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

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4. 4.

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

   Formula:Area of a Square

   $A = s^2$

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5. 5.

   Find the mean (average) of these numbers: 38, 34, 18, 34, 38.

   Formula:Arithmetic Mean

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

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6. 6.

   Find the perimeter of a rectangle measuring 15 m by 6 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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7. 7.

   An item costs HK$ 33.1 and you pay with HK$ 40. How much change do you get?

   Formula:Change Due

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

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8. 8.

   HK$ 60 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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9. 9.

   A car travels 213 km in 3 hours. Find its average speed.

   Formula:Speed

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

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10. 10.

    A triangle has a base of 7 cm and a height of 14 cm. Find its area.

    Formula:Area of a Triangle

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

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11. 11.

    A car travels 368 km in 4 hours. Find its average speed.

    Formula:Speed

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

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12. 12.

    HK$ 4,700 is invested at 4% 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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13. 13.

    An item costs HK$ 38.76 and you pay with HK$ 50. How much change do you get?

    Formula:Change Due

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

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14. 14.

    A train moves at 91 km/h for 4.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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15. 15.

    A car travels 648 km in 6 hours. Find its average speed.

    Formula:Speed

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

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16. 16.

    A train moves at 32 km/h for 3.6 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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17. 17.

    Find the perimeter of a rectangle measuring 17 m by 18 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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18. 18.

    What is 75% of 180?

    Formula:Percentage of a Quantity

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

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19. 19.

    Find the perimeter of a rectangle measuring 33 m by 19 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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20. 20.

    A rectangle is 17 cm long and 16 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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