Spain · Grado 6 · Practice Sheet 20

1. 1.

   €70 is shared in the ratio 1 : 4. Find each share.

   Formula:Dividing in a Ratio

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

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2. 2.

   An item costs €43.84 and you pay with €60. How much change do you get?

   Formula:Change Due

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

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3. 3.

   Find the mean (average) of these numbers: 31, 93, 48, 80.

   Formula:Arithmetic Mean

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

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4. 4.

   A train moves at 83 km/h for 4.1 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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5. 5.

   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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6. 6.

   A train moves at 84 km/h for 1.8 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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7. 7.

   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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8. 8.

   Find the perimeter of a rectangle measuring 10 m by 17 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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9. 9.

   Find the circumference of a circle whose radius is 6 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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10. 10.

    Find the area of a square with side length 3 cm.

    Formula:Area of a Square

    $A = s^2$

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11. 11.

    A train moves at 73 km/h for 5.3 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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12. 12.

    Find the perimeter of a rectangle measuring 27 m by 20 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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13. 13.

    A train moves at 86 km/h for 1.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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14. 14.

    One item costs €3.72. Find the total cost of 6 items.

    Formula:Total Cost

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

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15. 15.

    Calculate 70 × 7.

    Formula:Multiplication

    $p = a \times b$

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16. 16.

    Find the area of a square with side length 13 cm.

    Formula:Area of a Square

    $A = s^2$

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17. 17.

    Calculate 93 × 5.

    Formula:Multiplication

    $p = a \times b$

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18. 18.

    Calculate 224 ÷ 7.

    Formula:Division

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

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19. 19.

    Find the mean (average) of these numbers: 80, 11, 37, 28, 69.

    Formula:Arithmetic Mean

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

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20. 20.

    A rectangle is 33 cm long and 6 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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