Portugal · Ano 6 · Practice Sheet 49

1. 1.

   Find the mean (average) of these numbers: 98, 74, 45, 91, 68, 10.

   Formula:Arithmetic Mean

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

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2. 2.

   Calculate 168 ÷ 12.

   Formula:Division

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

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3. 3.

   €2,500 is invested at 5% 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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4. 4.

   Find the area of a square with side length 26 cm.

   Formula:Area of a Square

   $A = s^2$

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5. 5.

   Calculate 216 ÷ 8.

   Formula:Division

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

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6. 6.

   One item costs €15.89. Find the total cost of 18 items.

   Formula:Total Cost

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

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7. 7.

   A rectangle is 36 cm long and 19 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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8. 8.

   Find the circumference of a circle whose radius is 22 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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9. 9.

   Convert 3.13 kilometres into metres.

   Formula:Metric Length Conversion

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

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10. 10.

    One item costs €17.51. Find the total cost of 20 items.

    Formula:Total Cost

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

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11. 11.

    Calculate 35 × 12.

    Formula:Multiplication

    $p = a \times b$

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12. 12.

    A train moves at 87 km/h for 3.1 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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13. 13.

    An item costs €21.21 and you pay with €40. How much change do you get?

    Formula:Change Due

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

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14. 14.

    Calculate 84 ÷ 3.

    Formula:Division

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

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15. 15.

    €3,700 is invested at 3% 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.

    What is 75% of 500?

    Formula:Percentage of a Quantity

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

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17. 17.

    Find the perimeter of a rectangle measuring 22 m by 24 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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18. 18.

    A rectangle is 34 cm long and 25 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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19. 19.

    Find the circumference of a circle whose radius is 30 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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20. 20.

    Find 1/4 of 24.

    Formula:Fraction of a Quantity

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

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