Spain · Grado 6 · Practice Sheet 1

1. 1.

   A circle has a radius of 16 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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2. 2.

   A car travels 88 km in 2 hours. Find its average speed.

   Formula:Speed

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

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3. 3.

   A train moves at 44 km/h for 5.3 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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4. 4.

   €114 is shared in the ratio 4 : 2. Find each share.

   Formula:Dividing in a Ratio

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

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5. 5.

   A triangle has a base of 15 cm and a height of 16 cm. Find its area.

   Formula:Area of a Triangle

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

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6. 6.

   Find the perimeter of a rectangle measuring 21 m by 28 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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7. 7.

   Calculate 32 ÷ 8.

   Formula:Division

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

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8. 8.

   Find the perimeter of a rectangle measuring 19 m by 19 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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9. 9.

   Calculate 49 × 11.

   Formula:Multiplication

   $p = a \times b$

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10. 10.

    A circle has a radius of 21 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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11. 11.

    Calculate 73 × 3.

    Formula:Multiplication

    $p = a \times b$

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12. 12.

    One item costs €22.68. Find the total cost of 16 items.

    Formula:Total Cost

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

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13. 13.

    Convert 9.09 kilometres into metres.

    Formula:Metric Length Conversion

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

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14. 14.

    Find 1/2 of 20.

    Formula:Fraction of a Quantity

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

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15. 15.

    A car travels 567 km in 7 hours. Find its average speed.

    Formula:Speed

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

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16. 16.

    Find the circumference of a circle whose radius is 10 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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17. 17.

    Calculate 20 ÷ 4.

    Formula:Division

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

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18. 18.

    A car travels 616 km in 7 hours. Find its average speed.

    Formula:Speed

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

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19. 19.

    Find the mean (average) of these numbers: 47, 56, 21, 69, 23.

    Formula:Arithmetic Mean

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

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20. 20.

    Calculate 96 ÷ 3.

    Formula:Division

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

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