Sweden · Grade 6 · Practice Sheet 3

1. 1.

   What is 15% of 290?

   Formula:Percentage of a Quantity

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

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2. 2.

   A car travels 602 km in 7 hours. Find its average speed.

   Formula:Speed

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

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3. 3.

   Convert 2.04 kilometres into metres.

   Formula:Metric Length Conversion

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

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4. 4.

   A circle has a radius of 9 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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5. 5.

   Convert 9.58 kilometres into metres.

   Formula:Metric Length Conversion

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

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6. 6.

   kr 1,300 is invested at 3% simple interest per year for 6 years. Find the interest earned.

   Formula:Simple Interest

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

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7. 7.

   One item costs kr 15.39. Find the total cost of 5 items.

   Formula:Total Cost

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

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8. 8.

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

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   A triangle has a base of 12 cm and a height of 5 cm. Find its area.

   Formula:Area of a Triangle

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

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10. 10.

    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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11. 11.

    Find the perimeter of a rectangle measuring 8 m by 32 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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12. 12.

    A train moves at 70 km/h for 4.8 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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13. 13.

    Calculate 245 ÷ 7.

    Formula:Division

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

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14. 14.

    One item costs kr 14.38. Find the total cost of 16 items.

    Formula:Total Cost

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

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15. 15.

    Find the perimeter of a rectangle measuring 17 m by 26 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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16. 16.

    Find 2/8 of 160.

    Formula:Fraction of a Quantity

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

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17. 17.

    Find the circumference of a circle whose radius is 18 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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18. 18.

    Find the mean (average) of these numbers: 92, 23, 76, 34, 87.

    Formula:Arithmetic Mean

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

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19. 19.

    An item costs kr 33.65 and you pay with kr 50. How much change do you get?

    Formula:Change Due

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

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20. 20.

    Find the circumference of a circle whose radius is 9 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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