Czechia · Grade 6 · Practice Sheet 4

1. 1.

   What is 25% of 600?

   Formula:Percentage of a Quantity

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

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2. 2.

   Find the perimeter of a rectangle measuring 33 m by 26 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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3. 3.

   Kč 84 is shared in the ratio 1 : 2. Find each share.

   Formula:Dividing in a Ratio

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

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4. 4.

   Find the mean (average) of these numbers: 45, 78, 95, 49, 16, 33.

   Formula:Arithmetic Mean

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

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5. 5.

   A train moves at 70 km/h for 2.8 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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6. 6.

   Calculate 28 × 8.

   Formula:Multiplication

   $p = a \times b$

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7. 7.

   A car travels 658 km in 7 hours. Find its average speed.

   Formula:Speed

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

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8. 8.

   What is 50% of 480?

   Formula:Percentage of a Quantity

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

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9. 9.

   Find the perimeter of a rectangle measuring 20 m by 10 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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10. 10.

    A triangle has a base of 34 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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11. 11.

    Calculate 55 × 3.

    Formula:Multiplication

    $p = a \times b$

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12. 12.

    A train moves at 42 km/h for 4.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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13. 13.

    Convert 8.42 kilometres into metres.

    Formula:Metric Length Conversion

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

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14. 14.

    Calculate 92 × 8.

    Formula:Multiplication

    $p = a \times b$

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15. 15.

    Calculate 170 ÷ 5.

    Formula:Division

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

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16. 16.

    A train moves at 43 km/h for 5.4 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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17. 17.

    Find the mean (average) of these numbers: 71, 34, 65, 27.

    Formula:Arithmetic Mean

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

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18. 18.

    Convert 3.26 kilometres into metres.

    Formula:Metric Length Conversion

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

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19. 19.

    Kč 2,300 is invested at 10% 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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20. 20.

    Kč 259 is shared in the ratio 3 : 4. Find each share.

    Formula:Dividing in a Ratio

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

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