Russia · Grade 6 · Practice Sheet 47

1. 1.

   Calculate 112 ÷ 4.

   Formula:Division

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

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2. 2.

   Find the area of a square with side length 13 cm.

   Formula:Area of a Square

   $A = s^2$

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3. 3.

   Find the perimeter of a rectangle measuring 20 m by 8 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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4. 4.

   An item costs ₽37.68 and you pay with ₽40. How much change do you get?

   Formula:Change Due

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

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5. 5.

   Find the mean (average) of these numbers: 45, 56, 10, 59, 53.

   Formula:Arithmetic Mean

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

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6. 6.

   Calculate 36 ÷ 9.

   Formula:Division

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

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7. 7.

   Calculate 77 × 4.

   Formula:Multiplication

   $p = a \times b$

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8. 8.

   Find the circumference of a circle whose radius is 18 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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9. 9.

   A car travels 328 km in 8 hours. Find its average speed.

   Formula:Speed

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

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10. 10.

    Find the perimeter of a rectangle measuring 10 m by 13 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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11. 11.

    ₽60 is shared in the ratio 2 : 4. Find each share.

    Formula:Dividing in a Ratio

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

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12. 12.

    What is 10% of 370?

    Formula:Percentage of a Quantity

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

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13. 13.

    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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14. 14.

    Find the area of a square with side length 21 cm.

    Formula:Area of a Square

    $A = s^2$

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15. 15.

    Find the perimeter of a rectangle measuring 8 m by 18 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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16. 16.

    Find 1/2 of 28.

    Formula:Fraction of a Quantity

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

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17. 17.

    ₽4,200 is invested at 3% 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.

    What is 25% of 280?

    Formula:Percentage of a Quantity

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

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19. 19.

    ₽1,900 is invested at 6% 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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20. 20.

    An item costs ₽14.8 and you pay with ₽30. How much change do you get?

    Formula:Change Due

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

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