Algeria · Grade 7 · Practice Sheet 12

1. 1.

   DA 4,700 is invested at 8% 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.

   One item costs DA 4.92. Find the total cost of 18 items.

   Formula:Total Cost

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

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3. 3.

   A car travels 329 km in 7 hours. Find its average speed.

   Formula:Speed

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

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4. 4.

   A value changes from 164 to 40. 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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5. 5.

   One item costs DA 9.61. Find the total cost of 11 items.

   Formula:Total Cost

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

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6. 6.

   A bag has 24 equally likely marbles, of which 14 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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7. 7.

   Solve for x: 5x + 1 = 16.

   Formula:Solving a Linear Equation

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

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8. 8.

   Find the perimeter of a rectangle measuring 42 m by 4 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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9. 9.

   A right-angled triangle has legs of 14 cm and 12 cm. Find the length of the hypotenuse.

   Formula:Pythagorean Theorem

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

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10. 10.

    Find the mean (average) of these numbers: 94, 82, 63, 27, 51, 70.

    Formula:Arithmetic Mean

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

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11. 11.

    Find the perimeter of a rectangle measuring 40 m by 20 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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12. 12.

    A rectangle is 39 cm long and 20 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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13. 13.

    A bag has 17 equally likely marbles, of which 4 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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14. 14.

    Solve for x: 8x + 3 = 27.

    Formula:Solving a Linear Equation

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

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15. 15.

    Find the area of a square with side length 26 cm.

    Formula:Area of a Square

    $A = s^2$

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16. 16.

    What is 5% of 290?

    Formula:Percentage of a Quantity

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

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17. 17.

    Find the area of a square with side length 4 cm.

    Formula:Area of a Square

    $A = s^2$

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18. 18.

    Find the mean (average) of these numbers: 78, 76, 73, 89, 43, 99.

    Formula:Arithmetic Mean

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

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19. 19.

    Find the area of a square with side length 17 cm.

    Formula:Area of a Square

    $A = s^2$

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20. 20.

    A car travels 180 km in 3 hours. Find its average speed.

    Formula:Speed

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

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