Free IFoA_CAA_M0 Practice Test Questions and Answers (2026)

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Q: 1
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.
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Q: 2
Determine which of the following is the Maclaurin expansion (up to the second order term) of: e2x A) IFOA IFOA CAA M0 question B) IFOA IFOA CAA M0 question C) IFOA IFOA CAA M0 question D) IFOA IFOA CAA M0 question
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Q: 3
Calculate which of the following is a simplification of (1 + x)2 - x2 + ln(e3x).
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Q: 4
Consider the function: IFOA IFOA CAA M0 question IFOA IFOA CAA M0 question Calculate the partial derivative . A) IFOA IFOA CAA M0 question B) IFOA IFOA CAA M0 question C) IFOA IFOA CAA M0 question D) IFOA IFOA CAA M0 question
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Q: 5
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.
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Q: 6
Identify which of the following involves weak inequality. A) IFOA IFOA CAA M0 question B) IFOA IFOA CAA M0 question C) IFOA IFOA CAA M0 question D) IFOA IFOA CAA M0 question
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Q: 7
Determine which of the options is equal to log(3) - 2log(x+1). A) IFOA IFOA CAA M0 question B) IFOA IFOA CAA M0 question C) IFOA IFOA CAA M0 question D) IFOA IFOA CAA M0 question
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Q: 8
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.
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Q: 9
Define the standard deviation of a finite data set.
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Q: 10
Calculate the second order derivative of y with respect to x, where: y = 3x2 + ex
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Q: 11
IFOA IFOA CAA M0 question Assuming the position of the first quartile of an appropriately ordered dataset is given by IFOA IFOA CAA M0 question and the position of the third quartile of an appropriately ordered dataset is given by IFOA IFOA CAA M0 question Calculate the range and interquartile range of the above dataset. IFOA IFOA CAA M0 question
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Q: 12
State what the limit of a function with input variable x represents.
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Q: 13
1/5 of actuarial students like skiing. 2/5of actuarial students like snowboarding. 1/3  of actuarial students like skiing and snowboarding. Calculate the proportion of actuarial students that like skiing or snowboarding. A) IFOA IFOA CAA M0 question B) IFOA IFOA CAA M0 question C) IFOA IFOA CAA M0 question D) IFOA IFOA CAA M0 question
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Q: 14
If IFOA IFOA CAA M0 question Calculate the partial derivative A) IFOA IFOA CAA M0 question B) IFOA IFOA CAA M0 question C) IFOA IFOA CAA M0 question D) IFOA IFOA CAA M0 question
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Q: 15
A function f(x) is known for two values: f(2) = 8 and f(5) = 14. Using linear interpolation estimate f(3). A) IFOA IFOA CAA M0 question B) IFOA IFOA CAA M0 question C) IFOA IFOA CAA M0 question D) IFOA IFOA CAA M0 question
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