Spain · Grado 6 · Practice Sheet 44

1. 1.

   A triangle has a base of 35 cm and a height of 3 cm. Find its area.

   Formula:Area of a Triangle

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

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2. 2.

   Find the mean (average) of these numbers: 28, 70, 92, 90, 99, 23.

   Formula:Arithmetic Mean

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

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3. 3.

   Convert 1.5 kilometres into metres.

   Formula:Metric Length Conversion

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

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4. 4.

   One item costs €20.91. Find the total cost of 5 items.

   Formula:Total Cost

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

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5. 5.

   Calculate 162 ÷ 9.

   Formula:Division

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

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6. 6.

   A train moves at 76 km/h for 2.1 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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7. 7.

   Find the mean (average) of these numbers: 18, 41, 46, 42, 12.

   Formula:Arithmetic Mean

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

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8. 8.

   Find the area of a square with side length 30 cm.

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   A car travels 114 km in 3 hours. Find its average speed.

   Formula:Speed

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

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10. 10.

    A triangle has a base of 17 cm and a height of 11 cm. Find its area.

    Formula:Area of a Triangle

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

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11. 11.

    Find 1/2 of 30.

    Formula:Fraction of a Quantity

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

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12. 12.

    €102 is shared in the ratio 1 : 5. 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 rectangle is 29 cm long and 26 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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14. 14.

    A circle has a radius of 11 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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15. 15.

    Calculate 154 ÷ 7.

    Formula:Division

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

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16. 16.

    Find the area of a square with side length 5 cm.

    Formula:Area of a Square

    $A = s^2$

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17. 17.

    Find the circumference of a circle whose radius is 12 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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18. 18.

    Find the mean (average) of these numbers: 15, 34, 52, 60, 88.

    Formula:Arithmetic Mean

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

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19. 19.

    What is 20% of 400?

    Formula:Percentage of a Quantity

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

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20. 20.

    Find the perimeter of a rectangle measuring 32 m by 31 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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