Czechia · Grade 6 · Practice Sheet 32

1. 1.

   Calculate 21 × 3.

   Formula:Multiplication

   $p = a \times b$

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2. 2.

   Calculate 228 ÷ 6.

   Formula:Division

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

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3. 3.

   A train moves at 99 km/h for 5.6 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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4. 4.

   Kč 116 is shared in the ratio 3 : 1. Find each share.

   Formula:Dividing in a Ratio

   $\text{share} = \dfrac{\text{part}}{\text{total parts}} \times T$

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5. 5.

   Kč 3,600 is invested at 8% simple interest per year for 5 years. Find the interest earned.

   Formula:Simple Interest

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

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6. 6.

   Find the area of a square with side length 12 cm.

   Formula:Area of a Square

   $A = s^2$

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7. 7.

   Find the perimeter of a rectangle measuring 40 m by 4 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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8. 8.

   A rectangle is 37 cm long and 9 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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9. 9.

   Find the area of a square with side length 17 cm.

   Formula:Area of a Square

   $A = s^2$

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10. 10.

    A circle has a radius of 5 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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11. 11.

    Find the circumference of a circle whose radius is 20 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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12. 12.

    One item costs Kč 13.6. Find the total cost of 13 items.

    Formula:Total Cost

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

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13. 13.

    Find the area of a square with side length 3 cm.

    Formula:Area of a Square

    $A = s^2$

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14. 14.

    Calculate 160 ÷ 5.

    Formula:Division

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

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15. 15.

    Kč 2,100 is invested at 4% simple interest per year for 5 years. Find the interest earned.

    Formula:Simple Interest

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

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16. 16.

    Convert 9.8 kilometres into metres.

    Formula:Metric Length Conversion

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

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17. 17.

    Find the mean (average) of these numbers: 85, 59, 75, 94, 29, 26.

    Formula:Arithmetic Mean

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

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18. 18.

    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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19. 19.

    Kč 2,800 is invested at 7.5% simple interest per year for 2 years. Find the interest earned.

    Formula:Simple Interest

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

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20. 20.

    Kč 360 is shared in the ratio 4 : 5. Find each share.

    Formula:Dividing in a Ratio

    $\text{share} = \dfrac{\text{part}}{\text{total parts}} \times T$

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