Kenya · Grade 6 · Practice Sheet 43

1. 1.

   A circle has a radius of 17 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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2. 2.

   Find the perimeter of a rectangle measuring 34 m by 16 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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3. 3.

   KSh 297 is shared in the ratio 4 : 5. Find each share.

   Formula:Dividing in a Ratio

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

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4. 4.

   Calculate 35 ÷ 5.

   Formula:Division

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

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5. 5.

   Find the area of a square with side length 20 cm.

   Formula:Area of a Square

   $A = s^2$

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6. 6.

   Convert 11.59 kilometres into metres.

   Formula:Metric Length Conversion

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

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7. 7.

   Find the perimeter of a rectangle measuring 43 m by 31 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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8. 8.

   A car travels 140 km in 4 hours. Find its average speed.

   Formula:Speed

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

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9. 9.

   An item costs KSh 7.72 and you pay with KSh 10. How much change do you get?

   Formula:Change Due

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

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10. 10.

    KSh 3,000 is invested at 3% simple interest per year for 2 years. Find the interest earned.

    Formula:Simple Interest

    $I = \dfrac{P \times r \times t}{100}$

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11. 11.

    What is 5% of 180?

    Formula:Percentage of a Quantity

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

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12. 12.

    One item costs KSh 4.9. Find the total cost of 18 items.

    Formula:Total Cost

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

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13. 13.

    Find the mean (average) of these numbers: 14, 91, 52, 83, 24, 28.

    Formula:Arithmetic Mean

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

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14. 14.

    KSh 72 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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15. 15.

    Find the perimeter of a rectangle measuring 11 m by 21 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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16. 16.

    A rectangle is 18 cm long and 19 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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17. 17.

    Convert 1.6 kilometres into metres.

    Formula:Metric Length Conversion

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

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18. 18.

    Calculate 324 ÷ 12.

    Formula:Division

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

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19. 19.

    Calculate 98 × 9.

    Formula:Multiplication

    $p = a \times b$

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20. 20.

    One item costs KSh 10.78. Find the total cost of 18 items.

    Formula:Total Cost

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

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