Argentina · Grado 7 · Practice Sheet 33

1. 1.

   One item costs $3.2. Find the total cost of 6 items.

   Formula:Total Cost

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

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2. 2.

   A value changes from 149 to 61. Find the percentage change (to 2 d.p.).

   Formula:Percentage Change

   $\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100$

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3. 3.

   A car travels 210 km in 3 hours. Find its average speed.

   Formula:Speed

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

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4. 4.

   Find the circumference of a circle whose radius is 18 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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5. 5.

   Find the mean (average) of these numbers: 31, 77, 20, 51.

   Formula:Arithmetic Mean

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

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6. 6.

   Find the perimeter of a rectangle measuring 29 m by 31 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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7. 7.

   Find 2/5 of 25.

   Formula:Fraction of a Quantity

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

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8. 8.

   A train moves at 71 km/h for 4.5 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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9. 9.

   A car travels 438 km in 6 hours. Find its average speed.

   Formula:Speed

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

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10. 10.

    What is 40% of 450?

    Formula:Percentage of a Quantity

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

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11. 11.

    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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12. 12.

    Find 1/3 of 57.

    Formula:Fraction of a Quantity

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

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13. 13.

    A value changes from 117 to 182. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change

    $\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100$

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14. 14.

    One item costs $12.05. Find the total cost of 16 items.

    Formula:Total Cost

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

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15. 15.

    Find the mean (average) of these numbers: 45, 20, 37, 38, 64.

    Formula:Arithmetic Mean

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

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16. 16.

    $3,900 is invested at 3% simple interest per year for 3 years. Find the interest earned.

    Formula:Simple Interest

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

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17. 17.

    Find the mean (average) of these numbers: 12, 16, 76, 23, 20.

    Formula:Arithmetic Mean

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

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18. 18.

    A bag has 29 equally likely marbles, of which 9 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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19. 19.

    Convert 6.7 kilometres into metres.

    Formula:Metric Length Conversion

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

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20. 20.

    One item costs $16.39. Find the total cost of 20 items.

    Formula:Total Cost

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

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