India · Class 6 · Practice Sheet 11

1. 1.

   Find the mean (average) of these numbers: 66, 46, 14, 27, 37.

   Formula:Arithmetic Mean

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

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2. 2.

   ₹152 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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3. 3.

   A rectangle is 38 cm long and 21 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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4. 4.

   Find 2/5 of 70.

   Formula:Fraction of a Quantity

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

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5. 5.

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

   Formula:Area of a Square

   $A = s^2$

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6. 6.

   A rectangle is 28 cm long and 20 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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7. 7.

   A triangle has a base of 6 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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8. 8.

   Calculate 90 × 9.

   Formula:Multiplication

   $p = a \times b$

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9. 9.

   An item costs ₹15.56 and you pay with ₹20. How much change do you get?

   Formula:Change Due

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

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10. 10.

    Find the perimeter of a rectangle measuring 14 m by 8 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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11. 11.

    What is 75% of 360?

    Formula:Percentage of a Quantity

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

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12. 12.

    Find the perimeter of a rectangle measuring 19 m by 33 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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13. 13.

    An item costs ₹14.04 and you pay with ₹30. How much change do you get?

    Formula:Change Due

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

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14. 14.

    What is 10% of 190?

    Formula:Percentage of a Quantity

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

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15. 15.

    Find the circumference of a circle whose radius is 13 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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16. 16.

    One item costs ₹3.82. Find the total cost of 16 items.

    Formula:Total Cost

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

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17. 17.

    A circle has a radius of 7 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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18. 18.

    Convert 2.36 kilometres into metres.

    Formula:Metric Length Conversion

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

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19. 19.

    Find 1/4 of 20.

    Formula:Fraction of a Quantity

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

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20. 20.

    ₹100 is shared in the ratio 1 : 4. Find each share.

    Formula:Dividing in a Ratio

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

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