Russia · Grade 6 · Practice Sheet 4

1. 1.

   Find the circumference of a circle whose radius is 19 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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2. 2.

   ₽3,900 is invested at 4% 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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3. 3.

   ₽104 is shared in the ratio 1 : 3. Find each share.

   Formula:Dividing in a Ratio

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

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4. 4.

   ₽4,100 is invested at 3% 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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5. 5.

   Convert 6.48 kilometres into metres.

   Formula:Metric Length Conversion

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

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6. 6.

   Calculate 70 ÷ 10.

   Formula:Division

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

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7. 7.

   Find the perimeter of a rectangle measuring 14 m by 19 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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8. 8.

   Find 3/4 of 76.

   Formula:Fraction of a Quantity

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

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9. 9.

   What is 25% of 210?

   Formula:Percentage of a Quantity

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

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10. 10.

    One item costs ₽9.56. Find the total cost of 5 items.

    Formula:Total Cost

    $\text{total} = \text{price} \times \text{quantity}$

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11. 11.

    Calculate 25 × 4.

    Formula:Multiplication

    $p = a \times b$

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12. 12.

    An item costs ₽18.81 and you pay with ₽20. How much change do you get?

    Formula:Change Due

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

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13. 13.

    A triangle has a base of 33 cm and a height of 12 cm. Find its area.

    Formula:Area of a Triangle

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

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14. 14.

    A circle has a radius of 22 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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15. 15.

    An item costs ₽4.27 and you pay with ₽10. How much change do you get?

    Formula:Change Due

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

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16. 16.

    ₽156 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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17. 17.

    Calculate 200 ÷ 5.

    Formula:Division

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

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18. 18.

    A triangle has a base of 37 cm and a height of 3 cm. Find its area.

    Formula:Area of a Triangle

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

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19. 19.

    An item costs ₽19.58 and you pay with ₽30. How much change do you get?

    Formula:Change Due

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

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20. 20.

    Find the circumference of a circle whose radius is 25 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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