Ukraine · Grade 6 · Practice Sheet 17

1. 1.

   Convert 9.71 kilometres into metres.

   Formula:Metric Length Conversion

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

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2. 2.

   Find the mean (average) of these numbers: 67, 46, 46, 74, 85, 30.

   Formula:Arithmetic Mean

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

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3. 3.

   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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4. 4.

   An item costs ₴17.94 and you pay with ₴30. How much change do you get?

   Formula:Change Due

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

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5. 5.

   What is 15% of 460?

   Formula:Percentage of a Quantity

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

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6. 6.

   Find the mean (average) of these numbers: 47, 67, 11, 86.

   Formula:Arithmetic Mean

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

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7. 7.

   A triangle has a base of 39 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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8. 8.

   A car travels 664 km in 8 hours. Find its average speed.

   Formula:Speed

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

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9. 9.

   Find 1/8 of 144.

   Formula:Fraction of a Quantity

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

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10. 10.

    Calculate 17 × 3.

    Formula:Multiplication

    $p = a \times b$

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11. 11.

    Find the area of a square with side length 25 cm.

    Formula:Area of a Square

    $A = s^2$

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12. 12.

    Find the perimeter of a rectangle measuring 18 m by 12 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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13. 13.

    What is 5% of 370?

    Formula:Percentage of a Quantity

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

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14. 14.

    An item costs ₴3.23 and you pay with ₴20. How much change do you get?

    Formula:Change Due

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

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15. 15.

    Calculate 20 × 12.

    Formula:Multiplication

    $p = a \times b$

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16. 16.

    Calculate 80 ÷ 4.

    Formula:Division

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

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17. 17.

    Calculate 86 × 6.

    Formula:Multiplication

    $p = a \times b$

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18. 18.

    What is 30% of 40?

    Formula:Percentage of a Quantity

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

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19. 19.

    Calculate 79 × 11.

    Formula:Multiplication

    $p = a \times b$

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20. 20.

    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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