India · Class 6 · Practice Sheet 25

1. 1.

   Calculate 156 ÷ 12.

   Formula:Division

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

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2. 2.

   An item costs ₹27.66 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.

   Calculate 39 × 4.

   Formula:Multiplication

   $p = a \times b$

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4. 4.

   One item costs ₹3.91. Find the total cost of 18 items.

   Formula:Total Cost

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

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5. 5.

   A circle has a radius of 16 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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6. 6.

   Find the circumference of a circle whose radius is 20 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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7. 7.

   What is 10% of 350?

   Formula:Percentage of a Quantity

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

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8. 8.

   A train moves at 95 km/h for 4.9 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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9. 9.

   Find the mean (average) of these numbers: 75, 47, 80, 69.

   Formula:Arithmetic Mean

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

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10. 10.

    What is 12% of 40?

    Formula:Percentage of a Quantity

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

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11. 11.

    ₹120 is shared in the ratio 4 : 1. Find each share.

    Formula:Dividing in a Ratio

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

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12. 12.

    Calculate 297 ÷ 9.

    Formula:Division

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

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13. 13.

    A circle has a radius of 5 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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14. 14.

    Find the area of a square with side length 16 cm.

    Formula:Area of a Square

    $A = s^2$

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15. 15.

    A triangle has a base of 11 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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16. 16.

    A car travels 345 km in 5 hours. Find its average speed.

    Formula:Speed

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

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17. 17.

    Find the perimeter of a rectangle measuring 35 m by 12 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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18. 18.

    ₹234 is shared in the ratio 4 : 2. Find each share.

    Formula:Dividing in a Ratio

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

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19. 19.

    Convert 5.35 kilometres into metres.

    Formula:Metric Length Conversion

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

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20. 20.

    Calculate 81 × 8.

    Formula:Multiplication

    $p = a \times b$

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