Czechia · Grade 6 · Practice Sheet 15

1. 1.

   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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2. 2.

   What is 50% of 100?

   Formula:Percentage of a Quantity

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

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3. 3.

   A circle has a radius of 4 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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4. 4.

   Find the perimeter of a rectangle measuring 6 m by 19 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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5. 5.

   A rectangle is 20 cm long and 9 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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6. 6.

   A car travels 217 km in 7 hours. Find its average speed.

   Formula:Speed

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

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7. 7.

   An item costs Kč 2.17 and you pay with Kč 10. How much change do you get?

   Formula:Change Due

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

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8. 8.

   Find the circumference of a circle whose radius is 7 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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9. 9.

   A car travels 315 km in 7 hours. Find its average speed.

   Formula:Speed

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

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10. 10.

    Calculate 70 × 6.

    Formula:Multiplication

    $p = a \times b$

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11. 11.

    Convert 7.14 kilometres into metres.

    Formula:Metric Length Conversion

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

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12. 12.

    Find the area of a square with side length 5 cm.

    Formula:Area of a Square

    $A = s^2$

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13. 13.

    Kč 3,400 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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14. 14.

    A triangle has a base of 36 cm and a height of 12 cm. Find its area.

    Formula:Area of a Triangle

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

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15. 15.

    Find the mean (average) of these numbers: 64, 55, 12, 52, 36.

    Formula:Arithmetic Mean

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

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16. 16.

    A circle has a radius of 8 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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17. 17.

    An item costs Kč 19.15 and you pay with Kč 30. How much change do you get?

    Formula:Change Due

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

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18. 18.

    Find the mean (average) of these numbers: 19, 43, 74, 26.

    Formula:Arithmetic Mean

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

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19. 19.

    A triangle has a base of 5 cm and a height of 17 cm. Find its area.

    Formula:Area of a Triangle

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

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20. 20.

    Find the perimeter of a rectangle measuring 5 m by 31 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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