Mongolia · Grade 6 · Practice Sheet 42

1. 1.

   Find 4/5 of 55.

   Formula:Fraction of a Quantity

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

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2. 2.

   Find the mean (average) of these numbers: 56, 46, 58, 78, 73, 31.

   Formula:Arithmetic Mean

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

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3. 3.

   Find the perimeter of a rectangle measuring 29 m by 8 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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4. 4.

   Find the area of a square with side length 26 cm.

   Formula:Area of a Square

   $A = s^2$

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5. 5.

   One item costs ₮20.84. Find the total cost of 14 items.

   Formula:Total Cost

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

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6. 6.

   A car travels 92 km in 2 hours. Find its average speed.

   Formula:Speed

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

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7. 7.

   An item costs ₮20.36 and you pay with ₮30. How much change do you get?

   Formula:Change Due

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

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8. 8.

   ₮174 is shared in the ratio 1 : 5. 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 rectangle is 33 cm long and 13 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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10. 10.

    Find the circumference of a circle whose radius is 17 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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11. 11.

    Find the mean (average) of these numbers: 80, 30, 96, 13, 38.

    Formula:Arithmetic Mean

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

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12. 12.

    Find 1/5 of 30.

    Formula:Fraction of a Quantity

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

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13. 13.

    A train moves at 75 km/h for 5.7 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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14. 14.

    Calculate 352 ÷ 11.

    Formula:Division

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

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15. 15.

    Find the circumference of a circle whose radius is 30 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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16. 16.

    Calculate 96 × 12.

    Formula:Multiplication

    $p = a \times b$

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17. 17.

    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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18. 18.

    Find the perimeter of a rectangle measuring 20 m by 28 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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19. 19.

    Convert 4.56 kilometres into metres.

    Formula:Metric Length Conversion

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

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20. 20.

    Find 3/4 of 36.

    Formula:Fraction of a Quantity

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

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