Video: AQA GCSE Mathematics Foundation Tier Pack 3 • Paper 3 • Question 6

Juliet made doughnuts and sold them at the local market over three afternoons. The pictogram shows the number of doughnuts she sold each afternoon. On Saturday, she sold 32 doughnuts. a) Complete the key. b) How many doughnuts did she sell on Sunday? c) Juliet wants to make doughnuts to sell on Tuesday morning. She is going to use the results in the pictogram to decide how many doughnuts to make. Why might this not give her a sensible number?

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Video Transcript

Juliet made doughnuts and sold them at the local market over three afternoons. The pictogram shows the number of doughnuts she sold each afternoon. On Saturday, she sold 32 doughnuts. Part a) Complete the key. Part b) How many doughnuts did she sell on Sunday?

The pictogram shows four complete doughnuts on Saturday. We are told that on Saturday, she sold a total of 32 doughnuts. In order to work out what one doughnut in the pictogram represents, we need to divide 32 by four. There were 32 doughnuts sold and there are four doughnuts in the pictogram. 32 divided by four is equal to eight. This means that one doughnut on the pictogram represents eight doughnuts that were sold. Four doughnuts were equal to 32. Therefore, one doughnut on the pictogram is equal to eight.

The second part of the question wants us to calculate the number of doughnuts that Juliet sold on Sunday. There are three and a half doughnuts on the pictogram. So we need to work out what three and a half doughnuts represents. One way of doing this is to multiply three and a half or 3.5 by eight. Three multiplied by eight is equal to 24. 0.5 multiplied by eight or a half of eight is equal to four. This means that 3.5 multiplied by eight is equal to 28. The three and a half doughnuts on the pictogram represent 28 doughnuts that Juliet sold on Sunday. There is also a third part to this question.

Part c) Juliet wants to make doughnuts to sell on Tuesday morning. She is going to use the results in the pictogram to decide how many doughnuts to make. Why might this not give her a sensible number?

The data collected so far was for afternoons, Friday, Saturday, and Sunday afternoons. These are different days to Tuesday, including two days on the weekend, which means that the number of people at the market may vary. We have no way of knowing whether the number of doughnuts sold on a Friday, Saturday, and Sunday afternoon will be replicated on a Tuesday morning. Therefore, she might sell a totally different number. In order to work out the number of doughnuts to make for a Tuesday morning, we would need to collect data from other Tuesday mornings.

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