The pie chart and the table below show the number of each type of stickers sold in two shops, A and B. Each statement is either true, false or not possible to tell from the information given. Put a tick (✓\checkmark) to indicate your answer.
StatementTrueFalseNot possible to tell
Shop A sold 100 stickers.
Shop A sold more pastels stickers than Shop B.
25% of the stickers Shop A sold are rainbow stickers.

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Worked solution

4

1. Evaluate the first statement regarding the total number of stickers sold by Shop A.

The pie chart for Shop A only provides the proportions (percentages and angles) of each type of sticker sold. It does not provide any absolute quantities. Therefore, we cannot determine if the total number of stickers sold is 100.

2. Evaluate the second statement comparing the number of pastel stickers sold by both shops.

Shop A sold 13%13\% of its total stickers as pastels, while Shop B sold 10%10\% of its total as pastels. Since the total number of stickers sold by each shop is unknown, we cannot compare the actual number of pastel stickers sold.

3. Evaluate the third statement regarding the percentage of rainbow stickers sold by Shop A.

The sector for rainbow stickers in Shop A's pie chart has a right angle (90∘90^\circ). The percentage is 90∘360∘×100%=25%\frac{90^\circ}{360^\circ} \times 100\% = 25\%. Thus, the statement is true.

Answer
  • Shop A sold 100 stickers: Not possible to tell
  • Shop A sold more pastels stickers than Shop B: Not possible to tell
  • 25% of the stickers Shop A sold are rainbow stickers: True

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