Colombia · Grado 6 · Practice Sheet 45

1. 1.

   Find the mean (average) of these numbers: 84, 89, 27, 73, 12.

   Formula:Arithmetic Mean

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

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2. 2.

   Find the area of a square with side length 23 cm.

   Formula:Area of a Square

   $A = s^2$

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3. 3.

   An item costs $43.16 and you pay with $60. How much change do you get?

   Formula:Change Due

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

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4. 4.

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

   Formula:Area of a Square

   $A = s^2$

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5. 5.

   Calculate 45 × 7.

   Formula:Multiplication

   $p = a \times b$

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6. 6.

   Find the circumference of a circle whose radius is 28 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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7. 7.

   $203 is shared in the ratio 2 : 5. Find each share.

   Formula:Dividing in a Ratio

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

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8. 8.

   Calculate 147 ÷ 7.

   Formula:Division

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

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9. 9.

   Find the circumference of a circle whose radius is 21 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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10. 10.

    Find the mean (average) of these numbers: 59, 25, 17, 57, 11, 22.

    Formula:Arithmetic Mean

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

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11. 11.

    Convert 6.59 kilometres into metres.

    Formula:Metric Length Conversion

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

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12. 12.

    Find the area of a square with side length 27 cm.

    Formula:Area of a Square

    $A = s^2$

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13. 13.

    A circle has a radius of 12 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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14. 14.

    What is 20% of 190?

    Formula:Percentage of a Quantity

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

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15. 15.

    Calculate 228 ÷ 6.

    Formula:Division

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

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16. 16.

    A circle has a radius of 16 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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17. 17.

    Find the area of a square with side length 15 cm.

    Formula:Area of a Square

    $A = s^2$

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18. 18.

    One item costs $18.81. Find the total cost of 13 items.

    Formula:Total Cost

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

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19. 19.

    Calculate 242 ÷ 11.

    Formula:Division

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

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20. 20.

    One item costs $22.69. Find the total cost of 8 items.

    Formula:Total Cost

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

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