Hungary · Grade 6 · Practice Sheet 21

1. 1.

   A rectangle is 30 cm long and 20 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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2. 2.

   Find 3/5 of 90.

   Formula:Fraction of a Quantity

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

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3. 3.

   Find the perimeter of a rectangle measuring 41 m by 35 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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4. 4.

   A car travels 450 km in 6 hours. Find its average speed.

   Formula:Speed

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

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5. 5.

   Find the area of a square with side length 30 cm.

   Formula:Area of a Square

   $A = s^2$

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6. 6.

   Find the mean (average) of these numbers: 38, 83, 42, 21.

   Formula:Arithmetic Mean

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

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7. 7.

   A circle has a radius of 12 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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8. 8.

   A car travels 455 km in 7 hours. Find its average speed.

   Formula:Speed

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

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9. 9.

   Find the perimeter of a rectangle measuring 28 m by 5 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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10. 10.

    Calculate 312 ÷ 12.

    Formula:Division

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

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11. 11.

    An item costs Ft 41.13 and you pay with Ft 50. How much change do you get?

    Formula:Change Due

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

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12. 12.

    Calculate 40 ÷ 10.

    Formula:Division

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

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13. 13.

    Find the area of a square with side length 23 cm.

    Formula:Area of a Square

    $A = s^2$

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14. 14.

    A rectangle is 23 cm long and 30 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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15. 15.

    A triangle has a base of 34 cm and a height of 21 cm. Find its area.

    Formula:Area of a Triangle

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

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16. 16.

    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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17. 17.

    Find the mean (average) of these numbers: 57, 64, 44, 75.

    Formula:Arithmetic Mean

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

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18. 18.

    Find 1/4 of 32.

    Formula:Fraction of a Quantity

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

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19. 19.

    Convert 4.14 kilometres into metres.

    Formula:Metric Length Conversion

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

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20. 20.

    Find the area of a square with side length 30 cm.

    Formula:Area of a Square

    $A = s^2$

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