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CAPE Applied Mathematics Unit 1 · 2009 · Paper 2

19 questions and parts from this paper. Open one to see it in full, then practise it on Quelpr and get it marked against the mark scheme.

Practise this paper
  1. 1(a)(i)2 marksState TWO variables that are qualitative.
  2. 1(a)(ii)2 marksState TWO variables that are quantitative.
  3. 1(a)(iii)1 markState ONE variable that is discrete.
  4. 1(a)(iv)1 markState ONE variable that is continuous.
  5. 1(b)(i)4 marksExplain how a sample of 10 accounts can be selected using the method of random numbers.
  6. 1(b)(ii)3 marksSelect a random sample of size 10 without replacement from numbers 01 to 65 inclusive using Table 4: Random Sampling Numbers, starting at the third row from the top and fourth column with 44 and working across the row…
  7. 1(c)(i)(a)1 markDefine the term 'population'.
  8. 1(c)(i)(b)2 marksDefine the term 'sample'.
  9. 1(c)(ii)1 markState the population of interest in this survey.
  10. 1(c)(iii)1 markWhat sampling technique was used by the researcher?
  11. 1(c)(iv)4 marksOf the 500 students in the school, 90 were fourth year students. Determine the number of fourth year students that will be in the sample of 50.
  12. 1(c)(v)3 marksIn the sample of 50 students, 10 listed poor canteen service, 15 smelly bathrooms, 8 drug use, 6 too much homework, and 11 other concerns. Determine the angle for EACH response category for a pie chart.
  13. 2(a)(i)1 markState the kind of diagram which could be used to BEST illustrate the heights of 100 pea trees.
  14. 2(a)(ii)1 markState the kind of diagram which could be used to BEST illustrate the number of cars sold by each of 4 salesmen of a dealership in a week.
  15. 2(a)(iii)1 markState the kind of diagram which could be used to BEST illustrate the percentage of sales made by 6 sales clerks in a business.
  16. 2(b)(i)3 marksConstruct a frequency distribution table to show the data.
  17. 2(b)(ii)3 marksUsing the graph sheet provided, draw a bar chart to show this information.
  18. 2(c)(i)2 marksExplain why a stratified random sample might be a better technique for choosing the 25 persons than using a simple random sample.
  19. 2(c)(ii)4 marksUse the method of stratified random sampling to select 25 employees to send to the new supermarket.

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