Netherlands · Year 6 · Practice Sheet 45

1. 1.

   A car travels 436 km in 4 hours. Find its average speed.

   Formula:Speed

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

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2. 2.

   Find the mean (average) of these numbers: 43, 19, 51, 66, 11.

   Formula:Arithmetic Mean

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

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3. 3.

   Find the circumference of a circle whose radius is 25 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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4. 4.

   €3,200 is invested at 6% simple interest per year for 3 years. Find the interest earned.

   Formula:Simple Interest

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

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5. 5.

   €140 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.

   A circle has a radius of 25 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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7. 7.

   Find the area of a square with side length 13 cm.

   Formula:Area of a Square

   $A = s^2$

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8. 8.

   Convert 2.31 kilometres into metres.

   Formula:Metric Length Conversion

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

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9. 9.

   Calculate 68 ÷ 4.

   Formula:Division

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

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10. 10.

    A rectangle is 27 cm long and 8 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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11. 11.

    A car travels 164 km in 2 hours. Find its average speed.

    Formula:Speed

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

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12. 12.

    One item costs €17.93. Find the total cost of 18 items.

    Formula:Total Cost

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

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13. 13.

    Find 2/3 of 48.

    Formula:Fraction of a Quantity

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

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14. 14.

    Calculate 170 ÷ 5.

    Formula:Division

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

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15. 15.

    Find the perimeter of a rectangle measuring 28 m by 31 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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16. 16.

    One item costs €13.5. Find the total cost of 8 items.

    Formula:Total Cost

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

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17. 17.

    A triangle has a base of 18 cm and a height of 9 cm. Find its area.

    Formula:Area of a Triangle

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

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18. 18.

    An item costs €36.82 and you pay with €40. How much change do you get?

    Formula:Change Due

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

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19. 19.

    Find 2/8 of 48.

    Formula:Fraction of a Quantity

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

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20. 20.

    A train moves at 25 km/h for 5.7 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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