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CAPE Applied Mathematics Unit 1 · 2018 · Paper 1

38 multiple-choice items 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. Q11 mark · multiple choiceA sampling frame is defined as
  2. Q21 mark · multiple choiceItem 2 refers to the following table which shows the number of goals scored by a football team in the 20 matches of a tournament. The mode of the distribution is
  3. Q31 mark · multiple choiceWhich of the following statements is true of a histogram?
  4. Q41 mark · multiple choiceItems 4–5 refer to the following options. I. Qualitative data II. Quantitative data III. Discrete data IV. Continuous data The number of persons who attended the jazz concert last week is an example of
  5. Q51 mark · multiple choiceItems 4–5 refer to the following options. I. Qualitative data II. Quantitative data III. Discrete data IV. Continuous data The design of the house in a development is an example of
  6. Q61 mark · multiple choiceItems 6–7 refer to the following cumulative frequency curve which illustrates the results of an examination. How many students scored no more than 70 marks?
  7. Q71 mark · multiple choiceItems 6–7 refer to the following cumulative frequency curve which illustrates the results of an examination. How many students scored higher than the upper quartile?
  8. Q81 mark · multiple choiceItem 8 refers to the following box-and-whisker diagram (not drawn to scale). The interquartile range is
  9. Q91 mark · multiple choiceItem 9 refers to the following ogive which shows part of the donations a class of 55 students collected on a sponsored walk. The number of students who collected more than \30$ is
  10. Q101 mark · multiple choiceThe BEST measure of central tendency when there are extreme values in the data set is the
  11. Q111 mark · multiple choiceItems 11–13 refer to the following table which shows the age distribution of the 200 students of a dance school. The BEST diagram to show this distribution is a
  12. Q121 mark · multiple choiceItems 11–13 refer to the following table which shows the age distribution of the 200 students of a dance school. The median age of the students in the dance school is
  13. Q131 mark · multiple choiceItems 11–13 refer to the following table which shows the age distribution of the 200 students of a dance school. The mean age of the children in the dance school is
  14. Q141 mark · multiple choiceItems 14–15 refer to the following box-and-whisker plot. The interquartile range is
  15. Q151 mark · multiple choiceItems 14–15 refer to the following box-and-whisker plot. The distribution is
  16. Q161 mark · multiple choiceItems 16–17 refer to the following information. Two events, A and B, are such that P(A) = 0.2, P(A \cup B) = 0.5 and P(B) = 0.4. P(A \cap B) is
  17. Q171 mark · multiple choiceItems 16–17 refer to the following information. Two events, A and B, are such that P(A) = 0.2, P(A \cup B) = 0.5 and P(B) = 0.4. P(A \mid B) is
  18. Q181 mark · multiple choiceIf events X and Y are independent and P(X) = \frac{1}{9}, P(X \cap Y) = \frac{1}{15}, then P(Y) =
  19. Q191 mark · multiple choiceA and B are mutually exclusive events such that P(A) = 0.2 and P(B) = 0.1. P(A \cup B') =
  20. Q201 mark · multiple choiceWhen the normal distribution is to be used as an approximation to the binomial distribution, the P(40 < X \le 45) becomes
  21. Q211 mark · multiple choiceWhich of the following scatter diagrams shows negligible correlation?
  22. Q291 mark · multiple choiceItems 29–30 refer to the following information. Two independent events, A and B, are such that P(B) = 0.18 and P(A \mid B) = 0.42. P(A) =
  23. Q301 mark · multiple choiceItems 29–30 refer to the following information. Two independent events, A and B, are such that P(B) = 0.18 and P(A \mid B) = 0.42. P(A \cap B) =
  24. Q311 mark · multiple choiceA random sample of 81 items produced a 95% confidence interval for the population mean of 573.08. If 40 such samples were examined, how many of them are expected to contain a true population mean?
  25. Q321 mark · multiple choiceThe value of t for 16 degrees of freedom and a P(T \le t) = 0.90 is
  26. Q331 mark · multiple choiceThe mean age of teachers in a certain country is 30 years. A random sample of 49 teachers yields a mean age of 33.08 years. Using a population standard deviation of 12 years, a z-test at the 5% significance level was…
  27. Q341 mark · multiple choiceThe t-test statistic is used to test the population mean when the variable X is
  28. Q351 mark · multiple choiceA t-test is used to test whether solar coils last an average of 7 years. A sample of 10 of these solar coils have a mean life of 6.75 years and a standard deviation of 0.5 years. The value of the test statistic, t,…
  29. Q361 mark · multiple choiceIf the product-moment correlation coefficient between a person's weight and annual income is 0.9, it could be concluded that
  30. Q371 mark · multiple choiceA balloon manufacturing company claims that at least 10% of its balloons are blue. A random sample of 200 of these balloons is taken, and 16 are found to be blue. Which of the following tests would be MOST appropriate…
  31. Q381 mark · multiple choiceWhich of the following conditions are satisfied for the use of the central limit theorem?
  32. Q391 mark · multiple choiceThe regression line y on x
  33. Q401 mark · multiple choiceItems 40–41 refer to the following information. A \chi^2 test of independence is carried out using a contingency table with 4 rows and 5 columns. The number of degrees of freedom is
  34. Q411 mark · multiple choiceItems 40–41 refer to the following information. A \chi^2 test of independence is carried out using a contingency table with 4 rows and 5 columns. The critical value at the 5% significance level appropriate to this…
  35. Q421 mark · multiple choiceItem 42 refers to the following contingency table which gives the results of a football team over 40 matches. A \chi^2 test of independence is conducted to determine if the weather has an effect on the result of the…
  36. Q431 mark · multiple choiceThe weights of iron rods manufactured by a certain company are normally distributed with a standard deviation of 3.4 kg. A random sample of 35 iron rods with mean weight of 40.2 kg is selected. A 99% confidence interval…
  37. Q441 mark · multiple choiceWhen using a small sample of size, n, to construct a confidence interval for the population mean, the number of degrees of freedom for the t-distribution is
  38. Q451 mark · multiple choiceTo construct a confidence interval for the population proportion, p, which of the following must be true for a sample of size n?

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