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CAPE Applied Mathematics Unit 1 · 2015 · 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 population, in statistical terms, may be defined as
  2. Q21 mark · multiple choiceThe boundaries of the second class are
  3. Q31 mark · multiple choiceFor data arranged in order of size, the LOWER quartile is the value
  4. Q41 mark · multiple choiceWhich of the following variables is discrete?
  5. Q51 mark · multiple choiceUnder which condition, for a population divided into strata, is it preferable to use stratified random sampling rather than simple random sampling?
  6. Q61 mark · multiple choiceThe value of x is
  7. Q71 mark · multiple choiceThe variance of the distribution is
  8. Q91 mark · multiple choiceWhich of the following is/are true about the frequency distribution? I. The distribution is positively skewed. II. Mean > median. III. The 70th percentile is 3.5.
  9. Q101 mark · multiple choiceThe heights, in centimetres, of 5 students are: 165, 175, 176, 159, 170. The median and mean, in centimetres, are respectively
  10. Q111 mark · multiple choiceTwo pie charts are drawn to compare the total sales for the week. The radius of the pie chart for Outlet A is r_1, while that for Outlet B is r_2. The ratio r_1 : r_2 is
  11. Q121 mark · multiple choiceA pie chart with radius 8 cm is drawn for a third outlet, C. Using 6 cm as the radius of the pie chart representing Outlet A, the total sales of Outlet C (in thousands of dollars) when compared to Outlet A is
  12. Q131 mark · multiple choiceA systematic random sample that makes up 20% of the population is to be selected from among 320 students who are numbered from 001 through 320. If the first student chosen is numbered 002, then the last student chosen…
  13. Q141 mark · multiple choiceThe marks obtained by 10 students in a class are given as 34 45 46 52 58 59 59 64 68 79 A 10% trimmed mean of these marks is
  14. Q151 mark · multiple choiceThe variance, s^2, of the numbers 6, 9, 7, 5, 3, 7, 7 is
  15. Q161 mark · multiple choiceA and B are mutually exclusive events such that P(A) = 0.2 and P(B) = 0.1. P(A \cup B') =
  16. Q171 mark · multiple choiceA football team has a \frac{3}{5} probability of winning whenever it plays. If the team plays 8 games, the probability of winning exactly 5 games is
  17. Q181 mark · multiple choiceP(-1 \le X \le 1) is
  18. Q191 mark · multiple choiceIf Z \sim N(0, 1), then P(-1 < Z < 2) is given by
  19. Q201 mark · multiple choiceThe probability that a student chosen at random is a first-year student and is doing Caribbean History is
  20. Q211 mark · multiple choiceThe probability that a student selected at random is doing Caribbean History given that the student is a first-year student is
  21. Q221 mark · multiple choiceThe mean number of defective bulbs is
  22. Q231 mark · multiple choiceThe variance for the distribution of defective bulbs is
  23. Q241 mark · multiple choiceThe standard deviation of a discrete random variable, X, is
  24. Q251 mark · multiple choiceIf A and B are two events such that P(A|B) = 0.6, P(A) = 0.2 and P(B) = 0.3, then P(A \cap B) =
  25. Q261 mark · multiple choiceAn unbiased tetrahedral die is rolled twice. The faces are marked 1, 2, 3 and 4. What is the probability of getting a TOTAL score of 4?
  26. Q271 mark · multiple choiceWhat is the value of r?
  27. Q281 mark · multiple choiceWhat is the probability that Peter buys chicken and chips?
  28. Q291 mark · multiple choiceIf X \sim N(35, 56), then P(X < 33) is given by
  29. Q301 mark · multiple choiceIn a certain district, it is believed that 60 per cent of the houses are insured against fire. If 140 houses are in the district then the number of houses expected to be insured against fire is
  30. Q311 mark · multiple choiceIn a chi-squared test for independence between the variables X and Y, the number of degrees of freedom is
  31. Q321 mark · multiple choiceThe expected value of the cell which contains the number 15, (Y_2, X_1), to the NEAREST whole number is
  32. Q331 mark · multiple choiceIf samples of size n are drawn from a population which is not normally distributed, then the sampling distribution of the sample mean is
  33. Q341 mark · multiple choiceIn a hypothesis test for a population proportion p, the null hypothesis is p = 0.64 and the alternative hypothesis is p \neq 0.64. A sample of 400 elements from the population produced a sample proportion of 0.58.…
  34. Q351 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…
  35. Q361 mark · multiple choiceIn a one-tailed z-test, the null hypothesis H_0 : \mu = 30 is tested against the alternative hypothesis H_1 : \mu > 30. At the 10% significance level, the critical z region is
  36. Q431 mark · multiple choiceIn hypotheses testing, the probability of committing a type-I error is called the
  37. Q441 mark · multiple choiceThe unbiased estimate for the proportion of students who scored less than 20 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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