Colombia · Grado 6 · Practice Sheet 1

1. 1.

   Find the area of a square with side length 28 cm.

   Formula:Area of a Square

   $A = s^2$

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2. 2.

   Find the mean (average) of these numbers: 47, 22, 74, 58.

   Formula:Arithmetic Mean

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

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3. 3.

   Calculate 45 × 6.

   Formula:Multiplication

   $p = a \times b$

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4. 4.

   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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5. 5.

   A car travels 406 km in 7 hours. Find its average speed.

   Formula:Speed

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

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6. 6.

   Calculate 60 × 8.

   Formula:Multiplication

   $p = a \times b$

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7. 7.

   An item costs $38.2 and you pay with $50. How much change do you get?

   Formula:Change Due

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

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8. 8.

   $2,000 is invested at 4% simple interest per year for 2 years. Find the interest earned.

   Formula:Simple Interest

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

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9. 9.

   One item costs $13.91. Find the total cost of 16 items.

   Formula:Total Cost

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

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10. 10.

    Calculate 68 ÷ 4.

    Formula:Division

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

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11. 11.

    Find the perimeter of a rectangle measuring 8 m by 9 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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12. 12.

    A train moves at 42 km/h for 2.7 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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13. 13.

    $1,000 is invested at 3% 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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14. 14.

    $189 is shared in the ratio 2 : 5. Find each share.

    Formula:Dividing in a Ratio

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

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15. 15.

    A rectangle is 17 cm long and 26 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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16. 16.

    Convert 4.76 kilometres into metres.

    Formula:Metric Length Conversion

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

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17. 17.

    Find the area of a square with side length 15 cm.

    Formula:Area of a Square

    $A = s^2$

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18. 18.

    An item costs $35.33 and you pay with $40. How much change do you get?

    Formula:Change Due

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

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19. 19.

    A car travels 340 km in 5 hours. Find its average speed.

    Formula:Speed

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

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20. 20.

    Find 1/3 of 60.

    Formula:Fraction of a Quantity

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

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