United Kingdom · Year 6 · Practice Sheet 35

1. 1.

   Calculate 17 × 5.

   Formula:Multiplication

   $p = a \times b$

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2. 2.

   Find the mean (average) of these numbers: 55, 46, 50, 14, 88, 60.

   Formula:Arithmetic Mean

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

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3. 3.

   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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4. 4.

   £160 is shared in the ratio 5 : 3. Find each share.

   Formula:Dividing in a Ratio

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

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5. 5.

   Calculate 259 ÷ 7.

   Formula:Division

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

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6. 6.

   Find the area of a square with side length 20 cm.

   Formula:Area of a Square

   $A = s^2$

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7. 7.

   Find 1/2 of 32.

   Formula:Fraction of a Quantity

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

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8. 8.

   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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9. 9.

   Calculate 94 × 10.

   Formula:Multiplication

   $p = a \times b$

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10. 10.

    £4,300 is invested at 10% 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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11. 11.

    A circle has a radius of 15 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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12. 12.

    £273 is shared in the ratio 4 : 3. Find each share.

    Formula:Dividing in a Ratio

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

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13. 13.

    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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14. 14.

    Calculate 42 ÷ 3.

    Formula:Division

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

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15. 15.

    A triangle has a base of 20 cm and a height of 7 cm. Find its area.

    Formula:Area of a Triangle

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

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16. 16.

    Find 6/8 of 104.

    Formula:Fraction of a Quantity

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

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17. 17.

    Find the perimeter of a rectangle measuring 36 m by 11 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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18. 18.

    An item costs £5.3 and you pay with £10. How much change do you get?

    Formula:Change Due

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

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19. 19.

    Find the mean (average) of these numbers: 60, 52, 57, 63, 17, 63.

    Formula:Arithmetic Mean

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

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20. 20.

    Find 2/4 of 60.

    Formula:Fraction of a Quantity

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

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