IFoA_CAA_M0 IFoA Module 0 - Entry Exam Free Practice Exam Questions (2025 Updated)
Prepare effectively for your IFoA IFoA_CAA_M0 Module 0 - Entry Exam certification with our extensive collection of free, high-quality practice questions. Each question is designed to mirror the actual exam format and objectives, complete with comprehensive answers and detailed explanations. Our materials are regularly updated for 2025, ensuring you have the most current resources to build confidence and succeed on your first attempt.
Assuming the position of the first quartile of an appropriately ordered dataset is given by
and the position of the third quartile of an appropriately ordered dataset is given by
Calculate the range and interquartile range of the above dataset.
Consider the vector U = (3, -1, 5).
Calculate the magnitude of vector U to two decimal places.
Determine which of the statements is true about the root(s) of the following equation:
The first term of an arithmetic sequence is 12 and the ninth term is 68.
Calculate the sum of the first 18 terms.
An insurance company sells policies where, for each policy, the policyholder pays the first £50 of the cost of any claim. A claim reported to the insurance company takes some unknown value £x.
Identify which of the mathematical expressions below represents the cost in £ to the insurance company of the claim.
Consider a function f which has three variables, x1, x2 and x3.
Identify which of the following gives a correct definition of a partial derivative of the function f.
Calculate the value of
Identify which of the following statements are true.
I. Skewness measures how peaked a set of data is.
II. Skewness is a measure of asymmetry of the distribution of the data about its mean.
III. For a symmetrically distributed data, the mean equals the median but not necessarily the mode.
IV. The value of a measure of skewness can be positive, zero or negative.
A function f(x) is known for two values:
f(2) = 8 and f(5) = 14.
Using linear interpolation estimate f(3).
A)
B)
C)
D)
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.
Let A = 
Let B = 
Calculate 
One of the two solutions to the equation is .
Determine the second solution.
A)
B)
C)
D)
Calculate the total area enclosed by the x-axis and the function below, between x = 1.5 and x = 2.
f(x) = 2x3
A weekly pet insurance premium is given by a solution of the following equation:
4x2 - 11x - 3 = 0
Calculate the premium.
Define the standard deviation of a finite data set.
Identify which of the following involves weak inequality.
A)
B)
C)
D)
Determine which of the following statements are not true.
I. In a histogram the height of each rectangle equals the frequency of the interval
II. A box-plot chart is constructed to show the following values: Mean, Median, Upper Quartile, Minimum and Maximum
III. The set of data 2,2,5,7,8,8,9,10,11,12,14,16, 20 can be represented by the following frequency table:
Identify which of the following best describes the nature of a stationary point.
The probability density function f(x) for a random variable X is defined over the interval 0 to 1.
f(x) = 2(1-x).
Calculate the probability that X is greater than 0.5.
