United Kingdom · Year 6 · Practice Sheet 42

1. 1.

   One item costs £15.95. Find the total cost of 17 items.

   Formula:Total Cost

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

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2. 2.

   A circle has a radius of 17 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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3. 3.

   Calculate 35 × 3.

   Formula:Multiplication

   $p = a \times b$

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4. 4.

   A circle has a radius of 23 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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5. 5.

   Find the mean (average) of these numbers: 88, 69, 55, 64, 43, 20.

   Formula:Arithmetic Mean

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

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6. 6.

   Find the perimeter of a rectangle measuring 14 m by 23 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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7. 7.

   An item costs £26.1 and you pay with £40. How much change do you get?

   Formula:Change Due

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

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8. 8.

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

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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9. 9.

   A train moves at 75 km/h for 4 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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10. 10.

    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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11. 11.

    A triangle has a base of 31 cm and a height of 29 cm. Find its area.

    Formula:Area of a Triangle

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

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12. 12.

    A car travels 318 km in 3 hours. Find its average speed.

    Formula:Speed

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

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13. 13.

    £2,500 is invested at 7.5% simple interest per year for 3 years. Find the interest earned.

    Formula:Simple Interest

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

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14. 14.

    One item costs £12.17. Find the total cost of 3 items.

    Formula:Total Cost

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

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15. 15.

    A rectangle is 10 cm long and 7 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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16. 16.

    Find the area of a square with side length 4 cm.

    Formula:Area of a Square

    $A = s^2$

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17. 17.

    An item costs £40.57 and you pay with £60. How much change do you get?

    Formula:Change Due

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

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18. 18.

    A rectangle is 5 cm long and 15 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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19. 19.

    A car travels 512 km in 8 hours. Find its average speed.

    Formula:Speed

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

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20. 20.

    £4,100 is invested at 10% 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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