dlscrib.com_sample-qp-2014.pdf - ACET Practice Exam...

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ACET: Practice Exam – Questions Page 1 The Actuarial Education Company © IFE: 2014 Examinations Practice Exam – Questions Question E1 What is 0.040783 rounded to 2 significant figures? A 0.04 B 0.041 C 0.0408 D 0.04078 [1] FAC 2 1 Question E2 What is n a a x log x log y Ê ˆ - Á ˜ Ë ¯ A ( 1) a a n log x log y - + B ( ) a x y nx a - - C n a x log x y Ê ˆ - Á ˜ Ë ¯ D 1 n a x log y - Ê ˆ Á ˜ Ë ¯ [1] FAC 4 1 Question E3 Solve 11 3 2 15 x - £ - < A 7 6 x - £ < B 7 x and 6 x < - C 7 6 x > - D 7 x £ - and 6 x > [1] FAC 4 4
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Page 2 ACET: Practice Exam – Questions © IFE: 2014 Examinations The Actuarial Education Company Question E4 Which of these is the graph of n y x = where n is an even number: A x y B x y C x y D x y [1] FAC 3 1
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ACET: Practice Exam – Questions Page 3 The Actuarial Education Company © IFE: 2014 Examinations Question E5 Interest rates at the start of the year are set at 2.5%. At the end of the year they are 2.75%. What is the absolute change in the interest rate over the year? A 10% B 250 basis points C 9.09% D 25 basis points [1] FAC 5 2 Question E6 What is the result if (2 3 ) i + is multiplied by its complex conjugate? A 5 12 i - + B 5 - C 13 D 5 12 i - - [1] FAC 5 7 Question E7 Differentiate 5 y x = with respect to x . A 2 5 x - - B ½ 5 2 x C 3 2 5 2 x D 5 2 x [1] FAC 6 3
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Page 4 ACET: Practice Exam – Questions © IFE: 2014 Examinations The Actuarial Education Company Question E8 Find ( ) f x ¢ where 2 3 ( ) x f x e = . A 2 3 2 x e B 2 3 2 x e - C 2 6 x e - D 2 6 x e [1] FAC 6 4 Question E9 What is 1 4 0 3 x e dx Ú ? A 19.17 B 40.20 C 160.79 D 643.18 [1] FAC 7 2
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ACET: Practice Exam – Questions Page 5 The Actuarial Education Company © IFE: 2014 Examinations Question E10 What is the integral of 3 1 1 x x - ? A 4 4 1 c x - + B 4 1 ln 4 x c x - + C 2 2 1 c x - + D 2 1 ln 2 x c x + + [1] FAC 7 1 Question E11 If 1 2 2 Ê ˆ Á ˜ = - Á ˜ Ë ¯ a and 2 3 5 - Ê ˆ Á ˜ = Á ˜ Ë ¯ b then 2 - b a is: A 4.24 B 5.83 C 8.12 D 12.37 [1] FAC 8 1 Question E12 If 3 4 2 5 - - Ê ˆ = Á ˜ Ë ¯ B then | | B is given by: A 23 - B 7 - C 7 D 23 [1] FAC 8 2
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Page 6 ACET: Practice Exam – Questions © IFE: 2014 Examinations The Actuarial Education Company Question E13 The abbreviation etc means: A for example B compared with C that is to say D and so on [1] FAC Gloss Question E14 The histogram below shows the age distribution of the last 100 policyholders to take out an insurance policy with a life insurance company. 0.6 5.6 4.2 1.6 0.7 0.48 frequency density age 0 15 20 25 35 55 80 1 2 3 4 5 6 Determine the number of policyholders in the 35 to 55 age group. A 7 B 14 C 56 D 70 [1] SP 1 3
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ACET: Practice Exam – Questions Page 7 The Actuarial Education Company © IFE: 2014 Examinations Question E15 A company employs 32 skilled labourers and 19 unskilled labourers. The mean salary of the skilled labourers is £24,638, and the mean salary of the unskilled labourers is £13,942.
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