Egypt · Grade 6 · Practice Sheet 32

1. 1.

   A train moves at 50 km/h for 2.5 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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2. 2.

   Find the perimeter of a rectangle measuring 37 m by 20 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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3. 3.

   A rectangle is 34 cm long and 15 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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4. 4.

   E£ 132 is shared in the ratio 2 : 2. Find each share.

   Formula:Dividing in a Ratio

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

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5. 5.

   A train moves at 27 km/h for 5.5 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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6. 6.

   Find the perimeter of a rectangle measuring 12 m by 23 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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7. 7.

   Convert 1.56 kilometres into metres.

   Formula:Metric Length Conversion

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

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8. 8.

   A car travels 475 km in 5 hours. Find its average speed.

   Formula:Speed

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

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9. 9.

   E£ 1,200 is invested at 7.5% simple interest per year for 5 years. Find the interest earned.

   Formula:Simple Interest

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

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10. 10.

    A circle has a radius of 13 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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11. 11.

    One item costs E£ 18.26. Find the total cost of 19 items.

    Formula:Total Cost

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

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12. 12.

    Find the mean (average) of these numbers: 98, 92, 33, 33, 14.

    Formula:Arithmetic Mean

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

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13. 13.

    A train moves at 79 km/h for 4.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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14. 14.

    An item costs E£ 33.91 and you pay with E£ 50. How much change do you get?

    Formula:Change Due

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

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15. 15.

    What is 40% of 190?

    Formula:Percentage of a Quantity

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

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16. 16.

    Calculate 128 ÷ 4.

    Formula:Division

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

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17. 17.

    Find the mean (average) of these numbers: 29, 98, 26, 90.

    Formula:Arithmetic Mean

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

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18. 18.

    What is 30% of 430?

    Formula:Percentage of a Quantity

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

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19. 19.

    Convert 8.33 kilometres into metres.

    Formula:Metric Length Conversion

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

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20. 20.

    A car travels 164 km in 4 hours. Find its average speed.

    Formula:Speed

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

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