Ecuador · Grado 6 · Practice Sheet 9

1. 1.

   $116 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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2. 2.

   What is 30% of 360?

   Formula:Percentage of a Quantity

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

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3. 3.

   A circle has a radius of 4 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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4. 4.

   Find the mean (average) of these numbers: 69, 90, 22, 69, 42.

   Formula:Arithmetic Mean

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

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5. 5.

   What is 75% of 390?

   Formula:Percentage of a Quantity

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

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6. 6.

   $3,200 is invested at 8% simple interest per year for 5 years. Find the interest earned.

   Formula:Simple Interest

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

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7. 7.

   Find the area of a square with side length 30 cm.

   Formula:Area of a Square

   $A = s^2$

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8. 8.

   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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9. 9.

   An item costs $7.18 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.

    A rectangle is 30 cm long and 23 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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11. 11.

    An item costs $23.95 and you pay with $40. How much change do you get?

    Formula:Change Due

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

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12. 12.

    Convert 1.98 kilometres into metres.

    Formula:Metric Length Conversion

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

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13. 13.

    Find the perimeter of a rectangle measuring 11 m by 35 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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14. 14.

    What is 50% of 450?

    Formula:Percentage of a Quantity

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

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15. 15.

    $1,500 is invested at 6% simple interest per year for 6 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 32 m by 29 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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17. 17.

    An item costs $4.21 and you pay with $20. How much change do you get?

    Formula:Change Due

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

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18. 18.

    Calculate 324 ÷ 9.

    Formula:Division

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

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19. 19.

    Find the perimeter of a rectangle measuring 38 m by 18 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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20. 20.

    A car travels 240 km in 8 hours. Find its average speed.

    Formula:Speed

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

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