Egypt · Grade 6 · Practice Sheet 34

1. 1.

   An item costs E£ 28.15 and you pay with E£ 30. How much change do you get?

   Formula:Change Due

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

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2. 2.

   Find the mean (average) of these numbers: 99, 20, 39, 48, 90.

   Formula:Arithmetic Mean

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

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3. 3.

   A car travels 62 km in 2 hours. Find its average speed.

   Formula:Speed

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

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4. 4.

   Find the area of a square with side length 28 cm.

   Formula:Area of a Square

   $A = s^2$

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5. 5.

   An item costs E£ 21.34 and you pay with E£ 30. How much change do you get?

   Formula:Change Due

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

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6. 6.

   Find 2/4 of 56.

   Formula:Fraction of a Quantity

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

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7. 7.

   Find the perimeter of a rectangle measuring 5 m by 6 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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8. 8.

   Convert 1.7 kilometres into metres.

   Formula:Metric Length Conversion

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

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9. 9.

   Calculate 99 × 10.

   Formula:Multiplication

   $p = a \times b$

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10. 10.

    Find the perimeter of a rectangle measuring 7 m by 32 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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11. 11.

    A circle has a radius of 10 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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12. 12.

    E£ 4,700 is invested at 6% 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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13. 13.

    Calculate 114 ÷ 3.

    Formula:Division

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

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14. 14.

    E£ 700 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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15. 15.

    Find the perimeter of a rectangle measuring 27 m by 16 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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16. 16.

    One item costs E£ 19.57. Find the total cost of 17 items.

    Formula:Total Cost

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

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17. 17.

    E£ 144 is shared in the ratio 3 : 3. Find each share.

    Formula:Dividing in a Ratio

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

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18. 18.

    Find the circumference of a circle whose radius is 23 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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19. 19.

    A triangle has a base of 35 cm and a height of 27 cm. Find its area.

    Formula:Area of a Triangle

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

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20. 20.

    Find 2/3 of 24.

    Formula:Fraction of a Quantity

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

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