Iraq · Grade 6 · Practice Sheet 1

1. 1.

   Find the perimeter of a rectangle measuring 40 m by 21 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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2. 2.

   Find the mean (average) of these numbers: 65, 21, 23, 78, 50.

   Formula:Arithmetic Mean

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

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3. 3.

   What is 75% of 180?

   Formula:Percentage of a Quantity

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

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4. 4.

   IQD 210 is shared in the ratio 4 : 3. Find each share.

   Formula:Dividing in a Ratio

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

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5. 5.

   Find the mean (average) of these numbers: 73, 95, 74, 73.

   Formula:Arithmetic Mean

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

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6. 6.

   A rectangle is 28 cm long and 14 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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7. 7.

   Find the circumference of a circle whose radius is 7 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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8. 8.

   Convert 6.22 kilometres into metres.

   Formula:Metric Length Conversion

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

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9. 9.

   Find the circumference of a circle whose radius is 11 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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10. 10.

    A car travels 220 km in 5 hours. Find its average speed.

    Formula:Speed

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

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11. 11.

    A train moves at 85 km/h for 2.4 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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12. 12.

    IQD 186 is shared in the ratio 2 : 4. Find each share.

    Formula:Dividing in a Ratio

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

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13. 13.

    Calculate 99 × 5.

    Formula:Multiplication

    $p = a \times b$

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14. 14.

    A triangle has a base of 32 cm and a height of 26 cm. Find its area.

    Formula:Area of a Triangle

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

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15. 15.

    What is 30% of 410?

    Formula:Percentage of a Quantity

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

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16. 16.

    Find the perimeter of a rectangle measuring 14 m by 18 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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17. 17.

    Calculate 61 × 7.

    Formula:Multiplication

    $p = a \times b$

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18. 18.

    Calculate 324 ÷ 12.

    Formula:Division

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

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19. 19.

    Calculate 86 × 11.

    Formula:Multiplication

    $p = a \times b$

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20. 20.

    What is 15% of 310?

    Formula:Percentage of a Quantity

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

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