Czechia · Grade 6 · Practice Sheet 19

1. 1.

   Kč 4,500 is invested at 5% 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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2. 2.

   Find the area of a square with side length 22 cm.

   Formula:Area of a Square

   $A = s^2$

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3. 3.

   An item costs Kč 11.29 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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4. 4.

   A car travels 320 km in 8 hours. Find its average speed.

   Formula:Speed

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

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5. 5.

   Kč 273 is shared in the ratio 5 : 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.

   Calculate 276 ÷ 12.

   Formula:Division

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

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7. 7.

   Find the mean (average) of these numbers: 41, 94, 14, 78, 20.

   Formula:Arithmetic Mean

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

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8. 8.

   Find the area of a square with side length 20 cm.

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   A circle has a radius of 21 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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10. 10.

    Kč 4,300 is invested at 5% simple interest per year for 4 years. Find the interest earned.

    Formula:Simple Interest

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

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11. 11.

    A circle has a radius of 21 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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12. 12.

    Find the perimeter of a rectangle measuring 39 m by 33 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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13. 13.

    Kč 175 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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14. 14.

    Convert 3.83 kilometres into metres.

    Formula:Metric Length Conversion

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

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15. 15.

    A rectangle is 25 cm long and 27 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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16. 16.

    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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17. 17.

    Kč 3,600 is invested at 10% 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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18. 18.

    Calculate 25 ÷ 5.

    Formula:Division

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

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19. 19.

    Find the perimeter of a rectangle measuring 17 m by 4 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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20. 20.

    A car travels 312 km in 6 hours. Find its average speed.

    Formula:Speed

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

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