Denmark · Grade 6 · Practice Sheet 10

1. 1.

   An item costs kr 31.31 and you pay with kr 40. 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: 26, 11, 43, 67.

   Formula:Arithmetic Mean

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

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3. 3.

   One item costs kr 20.67. Find the total cost of 11 items.

   Formula:Total Cost

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

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4. 4.

   Calculate 71 × 6.

   Formula:Multiplication

   $p = a \times b$

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5. 5.

   Find the mean (average) of these numbers: 44, 59, 68, 49.

   Formula:Arithmetic Mean

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

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6. 6.

   kr 1,000 is invested at 7.5% 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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7. 7.

   Convert 4.78 kilometres into metres.

   Formula:Metric Length Conversion

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

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8. 8.

   Calculate 18 ÷ 3.

   Formula:Division

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

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9. 9.

   Find the area of a square with side length 21 cm.

   Formula:Area of a Square

   $A = s^2$

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10. 10.

    A car travels 66 km in 2 hours. Find its average speed.

    Formula:Speed

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

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11. 11.

    Find the mean (average) of these numbers: 94, 13, 22, 26, 88, 72.

    Formula:Arithmetic Mean

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

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12. 12.

    What is 15% of 40?

    Formula:Percentage of a Quantity

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

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13. 13.

    An item costs kr 38.07 and you pay with kr 40. How much change do you get?

    Formula:Change Due

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

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14. 14.

    Find the perimeter of a rectangle measuring 34 m by 26 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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15. 15.

    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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16. 16.

    A triangle has a base of 20 cm and a height of 21 cm. Find its area.

    Formula:Area of a Triangle

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

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17. 17.

    Find the circumference of a circle whose radius is 27 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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18. 18.

    A rectangle is 4 cm long and 26 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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19. 19.

    Calculate 52 × 9.

    Formula:Multiplication

    $p = a \times b$

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20. 20.

    Calculate 216 ÷ 6.

    Formula:Division

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

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