Nigeria · Grade 6 · Practice Sheet 38

1. 1.

   Find the mean (average) of these numbers: 36, 22, 20, 42, 17.

   Formula:Arithmetic Mean

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

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2. 2.

   An item costs ₦10 and you pay with ₦20. How much change do you get?

   Formula:Change Due

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

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3. 3.

   Find the mean (average) of these numbers: 22, 48, 26, 63, 55.

   Formula:Arithmetic Mean

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

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4. 4.

   A triangle has a base of 20 cm and a height of 4 cm. Find its area.

   Formula:Area of a Triangle

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

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5. 5.

   ₦90 is shared in the ratio 3 : 2. Find each share.

   Formula:Dividing in a Ratio

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

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6. 6.

   Calculate 16 × 6.

   Formula:Multiplication

   $p = a \times b$

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7. 7.

   Calculate 390 ÷ 10.

   Formula:Division

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

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8. 8.

   ₦1,500 is invested at 10% simple interest per year for 4 years. Find the interest earned.

   Formula:Simple Interest

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

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9. 9.

   A circle has a radius of 6 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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10. 10.

    Calculate 81 × 11.

    Formula:Multiplication

    $p = a \times b$

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11. 11.

    Convert 5.11 kilometres into metres.

    Formula:Metric Length Conversion

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

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12. 12.

    Calculate 84 ÷ 3.

    Formula:Division

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

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13. 13.

    Find 1/2 of 40.

    Formula:Fraction of a Quantity

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

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14. 14.

    A circle has a radius of 3 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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15. 15.

    Calculate 96 ÷ 4.

    Formula:Division

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

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16. 16.

    What is 20% of 210?

    Formula:Percentage of a Quantity

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

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17. 17.

    An item costs ₦22.1 and you pay with ₦40. How much change do you get?

    Formula:Change Due

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

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18. 18.

    Find the perimeter of a rectangle measuring 6 m by 10 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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19. 19.

    Calculate 88 ÷ 8.

    Formula:Division

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

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20. 20.

    Find the circumference of a circle whose radius is 27 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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