Ireland · Year 6 · Practice Sheet 49

1. 1.

   A rectangle is 16 cm long and 10 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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2. 2.

   A circle has a radius of 14 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 mean (average) of these numbers: 27, 83, 74, 62.

   Formula:Arithmetic Mean

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

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4. 4.

   An item costs €39.64 and you pay with €40. How much change do you get?

   Formula:Change Due

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

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5. 5.

   €96 is shared in the ratio 5 : 1. Find each share.

   Formula:Dividing in a Ratio

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

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6. 6.

   Find the mean (average) of these numbers: 33, 18, 88, 88.

   Formula:Arithmetic Mean

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

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7. 7.

   Find the perimeter of a rectangle measuring 34 m by 20 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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8. 8.

   Calculate 76 × 8.

   Formula:Multiplication

   $p = a \times b$

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9. 9.

   A train moves at 58 km/h for 1.7 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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10. 10.

    A rectangle is 5 cm long and 29 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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11. 11.

    Find the area of a square with side length 11 cm.

    Formula:Area of a Square

    $A = s^2$

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12. 12.

    An item costs €38.09 and you pay with €40. How much change do you get?

    Formula:Change Due

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

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13. 13.

    Find the perimeter of a rectangle measuring 43 m by 15 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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14. 14.

    A triangle has a base of 21 cm and a height of 14 cm. Find its area.

    Formula:Area of a Triangle

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

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15. 15.

    Find the circumference of a circle whose radius is 17 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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16. 16.

    Calculate 20 × 8.

    Formula:Multiplication

    $p = a \times b$

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17. 17.

    Find the perimeter of a rectangle measuring 18 m by 10 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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18. 18.

    A train moves at 97 km/h for 3.8 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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19. 19.

    A circle has a radius of 22 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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20. 20.

    Calculate 60 ÷ 10.

    Formula:Division

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

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