Hungary · Grade 6 · Practice Sheet 23

1. 1.

   Find the area of a square with side length 5 cm.

   Formula:Area of a Square

   $A = s^2$

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2. 2.

   A train moves at 50 km/h for 2.7 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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3. 3.

   Find the circumference of a circle whose radius is 26 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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4. 4.

   Find the perimeter of a rectangle measuring 38 m by 12 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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5. 5.

   What is 75% of 350?

   Formula:Percentage of a Quantity

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

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6. 6.

   Convert 9.87 kilometres into metres.

   Formula:Metric Length Conversion

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

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7. 7.

   A circle has a radius of 19 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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8. 8.

   Find the perimeter of a rectangle measuring 41 m by 5 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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9. 9.

   Find the area of a square with side length 28 cm.

   Formula:Area of a Square

   $A = s^2$

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10. 10.

    Calculate 93 × 9.

    Formula:Multiplication

    $p = a \times b$

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11. 11.

    Calculate 54 ÷ 6.

    Formula:Division

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

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12. 12.

    Find the mean (average) of these numbers: 40, 64, 39, 89.

    Formula:Arithmetic Mean

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

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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 circle has a radius of 6 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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15. 15.

    Find the area of a square with side length 6 cm.

    Formula:Area of a Square

    $A = s^2$

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16. 16.

    A circle has a radius of 14 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: 80, 26, 20, 58, 82, 99.

    Formula:Arithmetic Mean

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

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18. 18.

    An item costs Ft 33.65 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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19. 19.

    What is 15% of 150?

    Formula:Percentage of a Quantity

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

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20. 20.

    A circle has a radius of 13 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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