IFoA_CAA_M0 Sample Questions Answers

Solve the following equation for x:

12x +10 = 3x - 8

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.

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.

The variable s can take values between 2 and 6.

Identify which of the inequalities shown can be satisfied by at least one value of s.

Calculate which of the following is a simplification of (1 + x)2 - x2 + ln(e3x).

In a small island nation, local sea vessels are identified using "a letter and 4 digits" classification system. The "letter" can be any of the 26 letters in the English alphabet, A to Z,  while the "digit" can be any number from 0 to 9. E.g: Z9835.

Calculate the probability of a sea vessel having an identification ending in "007".

Calculate the second order derivative of y with respect to x, where:

y = 3x2 + ex

Determine and describe the extreme values of f(x,y) = -x2 - xy - 3y2

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.

Identify which of the following involves weak inequality.

A)

B)

C)

D)

When differentiating the product of two factors, u and v, the Product Rule can be used.

State the Product Rule.

A)

B)

C)

D)

A cat rescue centre keeps a record of how many kittens are born in each litter over a year.  The bar chart summarises the figures.

Consider the mean, mode and median of the number of kittens per litter. 

Determine which one of the statements is true.

For the following data set, calculate the mean and median.

10, 8, 5, 7, 14, 5, 3, 9, 5, 8

A recurrence relation is given by: Un = 2Un - 1 + 3

If U0 = 0, calculate U2 =  

Describe the skewness of the following data:

Integrate:

A)

B)

C)

D)