Qatar · Grade 7 · Practice Sheet 1

1. 1.

   Find the perimeter of a rectangle measuring 44 m by 7 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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2. 2.

   Convert 6.48 kilometres into metres.

   Formula:Metric Length Conversion

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

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3. 3.

   Find the perimeter of a rectangle measuring 36 m by 4 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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4. 4.

   A triangle has a base of 16 cm and a height of 7 cm. Find its area.

   Formula:Area of a Triangle

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

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5. 5.

   A right-angled triangle has legs of 13 cm and 18 cm. Find the length of the hypotenuse.

   Formula:Pythagorean Theorem

   $c = \sqrt{a^2 + b^2}$

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6. 6.

   Find the perimeter of a rectangle measuring 27 m by 18 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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7. 7.

   Find the mean (average) of these numbers: 35, 13, 86, 41.

   Formula:Arithmetic Mean

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

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8. 8.

   A rectangle is 23 cm long and 22 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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9. 9.

   QAR 50 is shared in the ratio 1 : 1. Find each share.

   Formula:Dividing in a Ratio

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

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10. 10.

    A bag has 25 equally likely marbles, of which 9 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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11. 11.

    A rectangle is 38 cm long and 27 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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12. 12.

    A car travels 460 km in 5 hours. Find its average speed.

    Formula:Speed

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

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13. 13.

    QAR 4,600 is invested at 10% 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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14. 14.

    A value changes from 107 to 224. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change

    $\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100$

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15. 15.

    A rectangle is 36 cm long and 30 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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16. 16.

    A triangle has a base of 7 cm and a height of 6 cm. Find its area.

    Formula:Area of a Triangle

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

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17. 17.

    Find the area of a square with side length 25 cm.

    Formula:Area of a Square

    $A = s^2$

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18. 18.

    Find the perimeter of a rectangle measuring 26 m by 10 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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19. 19.

    A right-angled triangle has legs of 18 cm and 20 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem

    $c = \sqrt{a^2 + b^2}$

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20. 20.

    A rectangle is 4 cm long and 12 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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