United States · Grade 6 · Practice Sheet 36

1. 1.

   An item costs $11.69 and you pay with $30. How much change do you get?

   Formula:Change Due

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

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2. 2.

   $90 is shared in the ratio 1 : 2. Find each share.

   Formula:Dividing in a Ratio

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

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3. 3.

   Find the mean (average) of these numbers: 49, 33, 32, 98, 56.

   Formula:Arithmetic Mean

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

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4. 4.

   What is 40% of 140?

   Formula:Percentage of a Quantity

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

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5. 5.

   A car travels 329 km in 7 hours. Find its average speed.

   Formula:Speed

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

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6. 6.

   A rectangle is 40 cm long and 13 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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7. 7.

   A car travels 441 km in 7 hours. Find its average speed.

   Formula:Speed

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

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8. 8.

   Find the perimeter of a rectangle measuring 20 m by 33 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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9. 9.

   A triangle has a base of 27 cm and a height of 21 cm. Find its area.

   Formula:Area of a Triangle

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

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10. 10.

    $132 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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11. 11.

    Calculate 40 × 4.

    Formula:Multiplication

    $p = a \times b$

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12. 12.

    Find the mean (average) of these numbers: 95, 93, 45, 74, 25.

    Formula:Arithmetic Mean

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

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13. 13.

    Find 2/3 of 51.

    Formula:Fraction of a Quantity

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

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14. 14.

    A rectangle is 8 cm long and 17 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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15. 15.

    A circle has a radius of 21 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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16. 16.

    Find 3/5 of 25.

    Formula:Fraction of a Quantity

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

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17. 17.

    Find the area of a square with side length 9 cm.

    Formula:Area of a Square

    $A = s^2$

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18. 18.

    A car travels 420 km in 7 hours. Find its average speed.

    Formula:Speed

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

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19. 19.

    Find the perimeter of a rectangle measuring 31 m by 27 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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20. 20.

    An item costs $44.77 and you pay with $60. How much change do you get?

    Formula:Change Due

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

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