India · Class 6 · Practice Sheet 1

1. 1.

   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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2. 2.

   A triangle has a base of 34 cm and a height of 13 cm. Find its area.

   Formula:Area of a Triangle

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

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3. 3.

   Calculate 85 × 4.

   Formula:Multiplication

   $p = a \times b$

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4. 4.

   A car travels 288 km in 8 hours. Find its average speed.

   Formula:Speed

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

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5. 5.

   Find the area of a square with side length 13 cm.

   Formula:Area of a Square

   $A = s^2$

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6. 6.

   One item costs ₹17.08. Find the total cost of 19 items.

   Formula:Total Cost

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

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7. 7.

   Find the mean (average) of these numbers: 40, 33, 18, 72.

   Formula:Arithmetic Mean

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

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8. 8.

   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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9. 9.

   One item costs ₹4.8. Find the total cost of 6 items.

   Formula:Total Cost

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

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10. 10.

    ₹2,700 is invested at 10% simple interest per year for 4 years. Find the interest earned.

    Formula:Simple Interest

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

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11. 11.

    Find the mean (average) of these numbers: 17, 70, 21, 67, 36, 56.

    Formula:Arithmetic Mean

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

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12. 12.

    A rectangle is 17 cm long and 15 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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13. 13.

    Calculate 23 × 11.

    Formula:Multiplication

    $p = a \times b$

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14. 14.

    A train moves at 70 km/h for 2 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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15. 15.

    What is 30% of 370?

    Formula:Percentage of a Quantity

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

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16. 16.

    Find the perimeter of a rectangle measuring 16 m by 12 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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17. 17.

    Find 2/4 of 24.

    Formula:Fraction of a Quantity

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

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18. 18.

    Find the perimeter of a rectangle measuring 33 m by 9 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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19. 19.

    Calculate 168 ÷ 7.

    Formula:Division

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

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20. 20.

    Find the area of a square with side length 20 cm.

    Formula:Area of a Square

    $A = s^2$

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