Nepal · Class 6 · Practice Sheet 1

1. 1.

   Find the mean (average) of these numbers: 68, 60, 86, 13.

   Formula:Arithmetic Mean

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

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2. 2.

   One item costs Rs 13.2. Find the total cost of 3 items.

   Formula:Total Cost

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

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3. 3.

   An item costs Rs 34.03 and you pay with Rs 40. How much change do you get?

   Formula:Change Due

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

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4. 4.

   Calculate 83 × 11.

   Formula:Multiplication

   $p = a \times b$

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5. 5.

   Calculate 264 ÷ 8.

   Formula:Division

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

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6. 6.

   Find the mean (average) of these numbers: 82, 88, 41, 68, 33.

   Formula:Arithmetic Mean

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

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7. 7.

   A rectangle is 12 cm long and 13 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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8. 8.

   An item costs Rs 37.01 and you pay with Rs 50. How much change do you get?

   Formula:Change Due

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

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9. 9.

   Calculate 57 × 12.

   Formula:Multiplication

   $p = a \times b$

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10. 10.

    Calculate 81 ÷ 3.

    Formula:Division

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

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11. 11.

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

    Formula:Area of a Square

    $A = s^2$

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12. 12.

    An item costs Rs 38.75 and you pay with Rs 40. How much change do you get?

    Formula:Change Due

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

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13. 13.

    Find the mean (average) of these numbers: 72, 13, 99, 20.

    Formula:Arithmetic Mean

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

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14. 14.

    A car travels 300 km in 5 hours. Find its average speed.

    Formula:Speed

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

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15. 15.

    A triangle has a base of 39 cm and a height of 25 cm. Find its area.

    Formula:Area of a Triangle

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

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16. 16.

    A circle has a radius of 17 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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17. 17.

    Convert 4.13 kilometres into metres.

    Formula:Metric Length Conversion

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

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18. 18.

    Find the area of a square with side length 25 cm.

    Formula:Area of a Square

    $A = s^2$

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19. 19.

    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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20. 20.

    Convert 7.31 kilometres into metres.

    Formula:Metric Length Conversion

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

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