Czechia · Grade 6 · Practice Sheet 40

1. 1.

   Kč 3,500 is invested at 7.5% 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 perimeter of a rectangle measuring 35 m by 7 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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3. 3.

   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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4. 4.

   A train moves at 87 km/h for 5.8 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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5. 5.

   A car travels 525 km in 7 hours. Find its average speed.

   Formula:Speed

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

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6. 6.

   A train moves at 71 km/h for 5.4 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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7. 7.

   Find the perimeter of a rectangle measuring 21 m by 26 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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8. 8.

   A car travels 520 km in 5 hours. Find its average speed.

   Formula:Speed

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

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9. 9.

   Calculate 81 ÷ 3.

   Formula:Division

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

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10. 10.

    Calculate 65 × 5.

    Formula:Multiplication

    $p = a \times b$

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11. 11.

    Find the area of a square with side length 24 cm.

    Formula:Area of a Square

    $A = s^2$

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12. 12.

    An item costs Kč 44.78 and you pay with Kč 60. How much change do you get?

    Formula:Change Due

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

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13. 13.

    Find the mean (average) of these numbers: 99, 35, 83, 96.

    Formula:Arithmetic Mean

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

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14. 14.

    Find 1/2 of 14.

    Formula:Fraction of a Quantity

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

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15. 15.

    What is 15% of 130?

    Formula:Percentage of a Quantity

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

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16. 16.

    A car travels 168 km in 3 hours. Find its average speed.

    Formula:Speed

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

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17. 17.

    An item costs Kč 22.2 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.

    One item costs Kč 23.57. Find the total cost of 5 items.

    Formula:Total Cost

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

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19. 19.

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

    Formula:Area of a Square

    $A = s^2$

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20. 20.

    Find the mean (average) of these numbers: 63, 59, 96, 57, 41.

    Formula:Arithmetic Mean

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

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