Brazil · Ano 7 · Practice Sheet 1

1. 1.

   One item costs R$ 20.16. Find the total cost of 8 items.

   Formula:Total Cost

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

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2. 2.

   Find the area of a square with side length 8 cm.

   Formula:Area of a Square

   $A = s^2$

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3. 3.

   A bag has 30 equally likely marbles, of which 7 are red. Find the probability of drawing a red marble (to 3 d.p.).

   Formula:Simple Probability

   $P(E) = \dfrac{\text{favourable}}{\text{total}}$

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4. 4.

   A circle has a radius of 10 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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5. 5.

   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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6. 6.

   Find 4/5 of 25.

   Formula:Fraction of a Quantity

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

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7. 7.

   Solve for x: 3x + 3 = 27.

   Formula:Solving a Linear Equation

   $x = \dfrac{c - b}{a}$

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8. 8.

   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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9. 9.

   Find 3/4 of 20.

   Formula:Fraction of a Quantity

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

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10. 10.

    One item costs R$ 16.9. Find the total cost of 6 items.

    Formula:Total Cost

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

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11. 11.

    Find the perimeter of a rectangle measuring 5 m by 16 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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12. 12.

    A car travels 70 km in 2 hours. Find its average speed.

    Formula:Speed

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

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13. 13.

    A train moves at 59 km/h for 4.5 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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14. 14.

    Convert 2.67 kilometres into metres.

    Formula:Metric Length Conversion

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

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15. 15.

    A train moves at 37 km/h for 5.1 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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16. 16.

    Convert 1.71 kilometres into metres.

    Formula:Metric Length Conversion

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

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17. 17.

    A car travels 224 km in 4 hours. Find its average speed.

    Formula:Speed

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

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18. 18.

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

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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19. 19.

    What is 25% of 50?

    Formula:Percentage of a Quantity

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

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20. 20.

    A car travels 156 km in 4 hours. Find its average speed.

    Formula:Speed

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

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