Russia · Grade 6 · Practice Sheet 24

1. 1.

   Find the circumference of a circle whose radius is 14 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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2. 2.

   A train moves at 86 km/h for 4.9 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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3. 3.

   Calculate 26 × 9.

   Formula:Multiplication

   $p = a \times b$

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4. 4.

   Find the mean (average) of these numbers: 57, 35, 60, 11.

   Formula:Arithmetic Mean

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

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5. 5.

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

   Formula:Area of a Square

   $A = s^2$

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6. 6.

   A train moves at 35 km/h for 5.1 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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7. 7.

   An item costs ₽34.43 and you pay with ₽50. How much change do you get?

   Formula:Change Due

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

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8. 8.

   A rectangle is 24 cm long and 7 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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9. 9.

   Find 1/2 of 40.

   Formula:Fraction of a Quantity

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

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10. 10.

    A circle has a radius of 24 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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11. 11.

    Find 2/3 of 24.

    Formula:Fraction of a Quantity

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

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12. 12.

    ₽5,000 is invested at 7.5% 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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13. 13.

    An item costs ₽23.67 and you pay with ₽30. How much change do you get?

    Formula:Change Due

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

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14. 14.

    ₽185 is shared in the ratio 4 : 1. Find each share.

    Formula:Dividing in a Ratio

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

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15. 15.

    Find the mean (average) of these numbers: 45, 40, 88, 95, 74, 74.

    Formula:Arithmetic Mean

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

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16. 16.

    An item costs ₽34.09 and you pay with ₽40. How much change do you get?

    Formula:Change Due

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

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17. 17.

    ₽500 is invested at 10% simple interest per year for 3 years. Find the interest earned.

    Formula:Simple Interest

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

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18. 18.

    ₽120 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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19. 19.

    Find the perimeter of a rectangle measuring 28 m by 21 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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20. 20.

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

    Formula:Area of a Square

    $A = s^2$

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