Hong Kong · Grade 7 · Practice Sheet 2

1. 1.

   Find the mean (average) of these numbers: 93, 30, 56, 17, 78.

   Formula:Arithmetic Mean

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

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2. 2.

   Find the area of a square with side length 18 cm.

   Formula:Area of a Square

   $A = s^2$

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3. 3.

   A circle has a radius of 18 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$ 3.74. Find the total cost of 14 items.

   Formula:Total Cost

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

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5. 5.

   Find the mean (average) of these numbers: 18, 47, 57, 49, 92, 78.

   Formula:Arithmetic Mean

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

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6. 6.

   Find 1/3 of 33.

   Formula:Fraction of a Quantity

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

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7. 7.

   A rectangle is 11 cm long and 18 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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8. 8.

   Find the area of a square with side length 5 cm.

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   Find the mean (average) of these numbers: 79, 86, 78, 58, 20.

   Formula:Arithmetic Mean

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

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10. 10.

    A car travels 624 km in 6 hours. Find its average speed.

    Formula:Speed

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

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11. 11.

    One item costs HK$ 17.17. Find the total cost of 11 items.

    Formula:Total Cost

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

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12. 12.

    A circle has a radius of 8 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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13. 13.

    Find the perimeter of a rectangle measuring 41 m by 34 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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14. 14.

    A triangle has a base of 20 cm and a height of 27 cm. Find its area.

    Formula:Area of a Triangle

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

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15. 15.

    Find the perimeter of a rectangle measuring 10 m by 19 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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16. 16.

    A bag has 15 equally likely marbles, of which 2 are red. Find the probability of drawing a red marble (to 3 d.p.).

    Formula:Simple Probability

    $P(E) = \dfrac{\text{favourable}}{\text{total}}$

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17. 17.

    Solve for x: 8x + 16 = 64.

    Formula:Solving a Linear Equation

    $x = \dfrac{c - b}{a}$

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18. 18.

    Find the circumference of a circle whose radius is 15 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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19. 19.

    One item costs HK$ 20.28. Find the total cost of 12 items.

    Formula:Total Cost

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

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20. 20.

    Find the area of a square with side length 19 cm.

    Formula:Area of a Square

    $A = s^2$

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