United Kingdom · Year 6 · Practice Sheet 3

1. 1.

   Convert 5.64 kilometres into metres.

   Formula:Metric Length Conversion

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

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2. 2.

   Calculate 21 × 7.

   Formula:Multiplication

   $p = a \times b$

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3. 3.

   A circle has a radius of 6 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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4. 4.

   Calculate 312 ÷ 12.

   Formula:Division

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

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5. 5.

   Find the perimeter of a rectangle measuring 27 m by 16 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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6. 6.

   One item costs £5.59. Find the total cost of 9 items.

   Formula:Total Cost

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

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7. 7.

   Find the area of a square with side length 19 cm.

   Formula:Area of a Square

   $A = s^2$

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8. 8.

   Find the perimeter of a rectangle measuring 44 m by 4 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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9. 9.

   Find 1/2 of 16.

   Formula:Fraction of a Quantity

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

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10. 10.

    Find the mean (average) of these numbers: 31, 41, 80, 45, 23.

    Formula:Arithmetic Mean

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

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11. 11.

    A rectangle is 40 cm long and 10 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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12. 12.

    A triangle has a base of 5 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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13. 13.

    A circle has a radius of 19 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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14. 14.

    Calculate 152 ÷ 4.

    Formula:Division

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

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15. 15.

    Find the mean (average) of these numbers: 37, 62, 61, 15, 78.

    Formula:Arithmetic Mean

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

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16. 16.

    A car travels 264 km in 8 hours. Find its average speed.

    Formula:Speed

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

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17. 17.

    A train moves at 91 km/h for 4.5 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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18. 18.

    Find the perimeter of a rectangle measuring 16 m by 18 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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19. 19.

    Find the circumference of a circle whose radius is 24 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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20. 20.

    Find the area of a square with side length 10 cm.

    Formula:Area of a Square

    $A = s^2$

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