Ireland · Year 6 · Practice Sheet 3

1. 1.

   €96 is shared in the ratio 3 : 5. Find each share.

   Formula:Dividing in a Ratio

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

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2. 2.

   Convert 1.41 kilometres into metres.

   Formula:Metric Length Conversion

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

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3. 3.

   €500 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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4. 4.

   Find the circumference of a circle whose radius is 20 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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5. 5.

   Find the mean (average) of these numbers: 57, 31, 25, 71.

   Formula:Arithmetic Mean

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

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6. 6.

   One item costs €16.72. Find the total cost of 4 items.

   Formula:Total Cost

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

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7. 7.

   Calculate 19 × 8.

   Formula:Multiplication

   $p = a \times b$

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8. 8.

   A circle has a radius of 18 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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9. 9.

   What is 15% of 240?

   Formula:Percentage of a Quantity

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

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10. 10.

    Calculate 192 ÷ 8.

    Formula:Division

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

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11. 11.

    Convert 6.3 kilometres into metres.

    Formula:Metric Length Conversion

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

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12. 12.

    Find 1/2 of 38.

    Formula:Fraction of a Quantity

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

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13. 13.

    Find the perimeter of a rectangle measuring 13 m by 19 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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14. 14.

    €190 is shared in the ratio 3 : 2. Find each share.

    Formula:Dividing in a Ratio

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

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15. 15.

    Find the mean (average) of these numbers: 78, 32, 45, 55, 32.

    Formula:Arithmetic Mean

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

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16. 16.

    A rectangle is 39 cm long and 10 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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17. 17.

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

    Formula:Area of a Square

    $A = s^2$

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18. 18.

    A circle has a radius of 12 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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19. 19.

    An item costs €44.75 and you pay with €50. How much change do you get?

    Formula:Change Due

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

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20. 20.

    Find the perimeter of a rectangle measuring 11 m by 22 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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