United States · Grade 6 · Practice Sheet 17

1. 1.

   Calculate 91 × 9.

   Formula:Multiplication

   $p = a \times b$

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2. 2.

   A circle has a radius of 24 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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3. 3.

   Find the circumference of a circle whose radius is 26 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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4. 4.

   Find the area of a square with side length 12 cm.

   Formula:Area of a Square

   $A = s^2$

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5. 5.

   A triangle has a base of 8 cm and a height of 9 cm. Find its area.

   Formula:Area of a Triangle

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

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6. 6.

   Calculate 35 × 3.

   Formula:Multiplication

   $p = a \times b$

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7. 7.

   What is 50% of 470?

   Formula:Percentage of a Quantity

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

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8. 8.

   A car travels 244 km in 4 hours. Find its average speed.

   Formula:Speed

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

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9. 9.

   Find the perimeter of a rectangle measuring 10 m by 21 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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10. 10.

    A train moves at 78 km/h for 4.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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11. 11.

    A circle has a radius of 11 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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12. 12.

    A car travels 132 km in 2 hours. Find its average speed.

    Formula:Speed

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

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13. 13.

    $3,900 is invested at 6% simple interest per year for 3 years. Find the interest earned.

    Formula:Simple Interest

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

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14. 14.

    An item costs $2.34 and you pay with $10. How much change do you get?

    Formula:Change Due

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

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15. 15.

    $4,000 is invested at 6% 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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16. 16.

    Find the perimeter of a rectangle measuring 39 m by 35 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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17. 17.

    Find the mean (average) of these numbers: 46, 37, 46, 35, 38, 91.

    Formula:Arithmetic Mean

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

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18. 18.

    Calculate 198 ÷ 6.

    Formula:Division

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

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19. 19.

    Find the perimeter of a rectangle measuring 37 m by 10 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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20. 20.

    A rectangle is 25 cm long and 4 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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