Russia · Grade 6 · Practice Sheet 39

1. 1.

   A rectangle is 27 cm long and 17 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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2. 2.

   A triangle has a base of 15 cm and a height of 20 cm. Find its area.

   Formula:Area of a Triangle

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

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3. 3.

   Convert 10.89 kilometres into metres.

   Formula:Metric Length Conversion

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

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4. 4.

   Calculate 47 × 4.

   Formula:Multiplication

   $p = a \times b$

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5. 5.

   Find 1/2 of 32.

   Formula:Fraction of a Quantity

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

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6. 6.

   Find the circumference of a circle whose radius is 7 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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7. 7.

   ₽1,400 is invested at 6% simple interest per year for 2 years. Find the interest earned.

   Formula:Simple Interest

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

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8. 8.

   ₽96 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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9. 9.

   A car travels 416 km in 4 hours. Find its average speed.

   Formula:Speed

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

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10. 10.

    Calculate 315 ÷ 9.

    Formula:Division

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

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11. 11.

    A car travels 528 km in 8 hours. Find its average speed.

    Formula:Speed

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

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12. 12.

    Convert 2.32 kilometres into metres.

    Formula:Metric Length Conversion

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

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13. 13.

    Find the perimeter of a rectangle measuring 38 m by 9 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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14. 14.

    Find the mean (average) of these numbers: 81, 28, 42, 94, 87, 31.

    Formula:Arithmetic Mean

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

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15. 15.

    Calculate 324 ÷ 12.

    Formula:Division

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

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16. 16.

    An item costs ₽38.37 and you pay with ₽50. How much change do you get?

    Formula:Change Due

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

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17. 17.

    A car travels 518 km in 7 hours. Find its average speed.

    Formula:Speed

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

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18. 18.

    A rectangle is 16 cm long and 5 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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19. 19.

    A triangle has a base of 30 cm and a height of 7 cm. Find its area.

    Formula:Area of a Triangle

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

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20. 20.

    A circle has a radius of 20 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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