Russia · Grade 6 · Practice Sheet 45

1. 1.

   Calculate 286 ÷ 11.

   Formula:Division

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

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2. 2.

   An item costs ₽20.12 and you pay with ₽30. How much change do you get?

   Formula:Change Due

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

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3. 3.

   ₽1,900 is invested at 7.5% simple interest per year for 4 years. Find the interest earned.

   Formula:Simple Interest

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

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4. 4.

   Calculate 98 × 6.

   Formula:Multiplication

   $p = a \times b$

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5. 5.

   One item costs ₽10.87. Find the total cost of 10 items.

   Formula:Total Cost

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

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6. 6.

   A rectangle is 5 cm long and 11 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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7. 7.

   One item costs ₽4. Find the total cost of 7 items.

   Formula:Total Cost

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

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8. 8.

   Calculate 54 × 5.

   Formula:Multiplication

   $p = a \times b$

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9. 9.

   A triangle has a base of 13 cm and a height of 13 cm. Find its area.

   Formula:Area of a Triangle

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

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10. 10.

    What is 12% of 50?

    Formula:Percentage of a Quantity

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

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11. 11.

    Find the mean (average) of these numbers: 52, 60, 76, 87, 59.

    Formula:Arithmetic Mean

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

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12. 12.

    A triangle has a base of 7 cm and a height of 5 cm. Find its area.

    Formula:Area of a Triangle

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

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13. 13.

    Find the perimeter of a rectangle measuring 44 m by 35 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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14. 14.

    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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15. 15.

    Find the mean (average) of these numbers: 25, 63, 85, 13.

    Formula:Arithmetic Mean

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

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16. 16.

    Find 1/5 of 95.

    Formula:Fraction of a Quantity

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

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17. 17.

    A triangle has a base of 23 cm and a height of 16 cm. Find its area.

    Formula:Area of a Triangle

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

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18. 18.

    Find the mean (average) of these numbers: 84, 23, 78, 48, 12, 88.

    Formula:Arithmetic Mean

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

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19. 19.

    ₽600 is invested at 4% 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.

    One item costs ₽21.37. Find the total cost of 11 items.

    Formula:Total Cost

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

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