Kenya · Grade 7 · Practice Sheet 14

1. 1.

   KSh 312 is shared in the ratio 3 : 5. Find each share.

   Formula:Dividing in a Ratio

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

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2. 2.

   A train moves at 94 km/h for 5.4 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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3. 3.

   Convert 7.34 kilometres into metres.

   Formula:Metric Length Conversion

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

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4. 4.

   A rectangle is 14 cm long and 27 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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5. 5.

   Find the mean (average) of these numbers: 48, 48, 58, 80, 82.

   Formula:Arithmetic Mean

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

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6. 6.

   Find the area of a square with side length 30 cm.

   Formula:Area of a Square

   $A = s^2$

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7. 7.

   A car travels 256 km in 8 hours. Find its average speed.

   Formula:Speed

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

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8. 8.

   A right-angled triangle has legs of 12 cm and 5 cm. Find the length of the hypotenuse.

   Formula:Pythagorean Theorem

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

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9. 9.

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

   Formula:Area of a Square

   $A = s^2$

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10. 10.

    Find the mean (average) of these numbers: 18, 22, 45, 98, 10, 24.

    Formula:Arithmetic Mean

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

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11. 11.

    What is 20% of 70?

    Formula:Percentage of a Quantity

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

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12. 12.

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

    Formula:Area of a Square

    $A = s^2$

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13. 13.

    Find the mean (average) of these numbers: 52, 50, 60, 44, 91.

    Formula:Arithmetic Mean

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

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14. 14.

    One item costs KSh 19.21. Find the total cost of 17 items.

    Formula:Total Cost

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

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15. 15.

    Find the perimeter of a rectangle measuring 17 m by 30 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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16. 16.

    Find 1/2 of 12.

    Formula:Fraction of a Quantity

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

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17. 17.

    One item costs KSh 23.64. Find the total cost of 16 items.

    Formula:Total Cost

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

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18. 18.

    Solve for x: 9x + 15 = 123.

    Formula:Solving a Linear Equation

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

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19. 19.

    A rectangle is 34 cm long and 28 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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20. 20.

    Find the circumference of a circle whose radius is 24 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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