IFoA IFoA-CAA-M0 - Module 0 - Entry Exam Exam

Question #11 (Topic: )
The first term of an arithmetic sequence is 12 and the ninth term is 68.
Calculate the sum of the first 18 terms.
A. 1,165 B. 1,287 C. 1,350 D. 1,413
Answer: B
Question #12 (Topic: )
A coin is tossed 7 times.
Calculate the number of possible combinations that gives 4 heads and 3 tails.
A. 35 B. 42 C. 210 D. 840
Answer: A
Question #13 (Topic: )
Identify which of the following best describes the nature of a stationary point.
A. It is where the tangent of the graph of the function is horizontal. B. It is the point where the maximum value of the function is found. C. It is the point where the minimum value of the function is found. D. It is the point where values of the function start to become more stable.
Answer: A
Question #14 (Topic: )
A boy is asked to estimate the height of his sister. He estimates that she is 1.60 metres tall.
He then measures his sister and finds that her true height is 1.40 metres.
Identify the absolute error of his estimate of her height.
A. -0.2 metres B. 0.2 metres C. 12.5% D. 0.125
Answer: B
Question #15 (Topic: )
X is a random variable with expected value E(X).
Identify which of the following is not a valid method for calculating the variance of X.
A. E[ X - E(X) ]2 B. The second moment of X minus the square of the first moment of X. C. E( X2 ) - [ E(X) ]2 D. E( X2 ) - E(X)
Answer: D
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