CBT JAMB maths 2015 | Info, Guides, and How-tos.

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Created on February 29, 2020 By

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Maths

CBT JAMB maths 2015

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Category: Maths

1 In a town of 6250 inhabitants, there were 62 births
during 1984. Find the percentage birth rate

1.0%

2.5%

5.40%

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Category: Maths

2 Simplify 1¼ ÷ (2 ÷ ¼ of 28)

1 3/8

2 3/4

4 3/8

3 1/5

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Category: Maths

3. Factorize x^2+ 9x + 20

(x − 5)^2

(x + 5)(x + 4)

(x – 5)(x + 3)

(x + 3)^2

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Category: Maths

4 If three staff of Myschool Limited agreed to share
their salary arrears in the ration of their ages, which are
18 years, 20 years, 22 years respectively. If the sum of
the money collected is N120,000.00K, How much does
the second staff received?

N36,000

N44,000

N40,000

N15,000

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Category: Maths

5 X and Y are two sets such that nX = 15, nY = 12 and n{∩ Y} = 7.

Find ∩{X ∪ Y}

225

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Category: Maths

6 Find the x and y intercepts of the graph of 3x – z <= 9

(3, -9)

(-3, 9)

(-3, -9)

(-3, 0)

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Category: Maths

7 Simplify log 10 1.5 + 3 log 10 2 − log 10 0.3

log 10 4

log 10 40

log 10 -40

log 10 4 –

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Category: Maths

8 Find the total surface area of a cylinder of base
radius 5cm and length 7cm ( π = 3.14)

17.8cm 2

15.8cm 2

75.4cm 2

54.7cm 2

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Category: Maths

9 If x + y = 90 simplify (sinx + siny)^2−2sinxsiny

-1

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Category: Maths

10 A man with an annual salary of N2000, has
allowances of N600. If Income Tax is 5%. How much tax
does he pay each year?

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Category: Maths

11 Solve the equation 3x^2− 4x − 5 = 0

x = 1.75 or − 0.15

x = 2.12 or − 0.79

x = 1.5 or − 0.34

x = 2.35 or −1.23

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Category: Maths

12 The first and last term of a linear sequence (AP) are
6 and 10 respectively. If the sum of the sequence is 40.
Find the number of terms

nth = 3

nth = 4

nth = 5

nth = 6

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Category: Maths

13 Find the equation of a line which is form origin and
passes through the point (−3, −4)

y= 3x/4

y = 4x/3

y = 2x/3

y = x/2

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Category: Maths

14 The amount A to which a principal P amounts at r%
compound interest for n years is given by the formula A
= P(1 + (r ÷ 100))n. Find A, if P = 126, r = 4 and n = 2.

N132.50K

N136.30K

N125.40K

N257.42K

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Category: Maths

15 Make x the subject of the equation, s = 2 + t/5 (x + 3/5y)

x = 5[(s − 2) ÷ t] + 3yt

x = 25[(s − 2) ÷ t] − 3ty

x = [1 ÷ (s − 2)3ty]

x = [5(s − 2) 2 ÷ 3ty] × t

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Category: Maths

16. If log 5 20 = x, find x

1.761

1.354

1.861

2.549

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Category: Maths

17. Find at which rate per annum simple interest N525
will amount to N588 in 3 years.

18 / 50

Category: Maths

18 Find the range of values of t which satisfies the
inequality 2t − 1 3 and 2− t 5

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Category: Maths

19. Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

{1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}

{1, 2, 3, 5, 6, 8, 12, 15}

{2, 4, 5, 9, 12, 15}

{1, 5, 6, 7, 8, 9, 12, 15}

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Category: Maths

20. The extension of a stretched string is directly
proportional to its tension. If the extension produced by a
tension of 8 Newton’s is 2cm, find the extension
produced by a tension of 12 newton’s.

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Category: Maths

21 Factorize x^2 – 2x – 15

(x + 3)^2

(x + 5)(x − 3)

(x − 5)^2

(x − 5)(x + 3)

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Category: Maths

22 If A = (−3,5) and B = (4,−1) find the co-ordinate of
the mid point

2, ½

½ , 2

1, ½

0, 2

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Category: Maths

23 Find the simple interest on N325 in 5years at 3% per
annum.

N48.75K

N50.10K

N75.50K

N15.75K

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Category: Maths

24 Simplify (0.09)^2 and give your answer correct to 4
significant figures

0.81

0.081

0.0081

8.0001

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Category: Maths

25. Simplify

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Category: Maths

26 One bag contain 3 blue and 5 red balls, another bag
contain 2 blue and 4 red balls respectively. One ball is
drawn for each bag. What is the probability both balls are
blue

2 /15

3/24

3/21

3/28

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Category: Maths

27 Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3 ⅓, ⅓, 7}.
Find A∩B

{}

{⅓, 1, 2}

{3, 4, ⅓}

{1, 3, ⅓}

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Category: Maths

28. Find x

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Category: Maths

29. A man sells his new brand car for N420,000 at a
gain of 15%. What did it cost him?

N410,000

N365, 217

N157, 250

N257,000

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Category: Maths

30. Find the value of x

3/2

2/3

1/3

-3/2

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Category: Maths

31 A pipe made of metal 10cm thick has an external
radius of 11cm. find the area of metal in making 2.4cm
of pipe

22πcm^2

21πcm^2

15πcm^2

17πcm^2

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Category: Maths

32. Solve x^2 − 2x − 3 = 0

x = 2 or 1

x = 3 or -1

x = 1 or 0

x = 1 or 2

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Category: Maths

33. The volume of a cylinder whose height is 4cm and
whose radius 5cm is equal to (π = 3.14)

3.13cm^2

145cm^2

314cm^2

214cm^2

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Category: Maths

34. Solve

−Cos x + 2xSin x + C

−Cos x + 2

x^2 Cos x + 2xSin x + 2Cos x+ C

−x^2 Cos x + 2xSinx + 2Cos x + C

35 / 50

Category: Maths

35. The probability of an event A is 1/5. The probability
of B is 1/3 . The probability both A and B is 1/15. What
is the probability of either event A or B or both

2/15

3/4

7/15

1/15

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Category: Maths

36. Simplify 4 √[(390695T− 8)½)]

1/T

5/T

T/5

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Category: Maths

37. Find x

x 6 = 123.34 6

x 6 = 424.5 6

x 6 = 122.43 6

x 6 = 124.45 6

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Category: Maths

38. A man bought a car for N800 and sold it for N520.
Find his loss per cent

15%

25%

35%

10%

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Category: Maths

39. Simplify

3 5/6

4 5/6

2 1/6

1/3

40 / 50

Category: Maths

40. Find the distance between the points (-2,-3) and
(-2,4)

2.4m

3.2m

5.1m

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Category: Maths

41. Determine the third term of a geometrical
progression whose first and second term are 2 and 14
respectively

1458

1485

1345

1258

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Category: Maths

42. Given that S and T are sets of real numbers such that

S = {x : 0 x 5} and T = {x : − 2 < x < 3} Find S∪T

A −3 < x ≤ 3

B −2< x < 5

C 2 < x < ≥−5

D −1 < x≥≤ 2

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Category: Maths

43. If an investor invest N450,000 in a certain
organization in order to yield X as a return of N25,000.
Find the return on an investment of N700,000 by Y in the
same organization.

N14,950.50K

N25,150.30K

N15,000.00K

N38,888.90K

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Category: Maths

44. Evaluate

1.35

1.353

1.455

0.455

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Category: Maths

45. 10011 ₂ + ***** ₂+ 11100 ₂ + 101 ₂ = 1001111 ₂

1111 2

11011 2

10111 2

11001 2

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Category: Maths

46. Evaluate

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Category: Maths

47 If y = ( x^2 + 3x − 1) ÷ (3x + 4). Find dy/dx

(3x^2 + 8x + 7) ÷ (3x + 4 x 2 )^2

x^2 + 2x + (1 ÷ (x + 1 )^2)

2x^2+ 4x + (1 ÷ (2x + 4 )^2)

x^2 + 3x + (2 ÷ (x + 3 )

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Category: Maths

48. Integrate

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Category: Maths

49. Find the area of the curved surface of a cone whose
base radius is 3cm and whose height is 4cm (π = 3.14)

17.1cm^2

27.2cm^2

47.1cm^2

37.3cm^2

50 / 50

Category: Maths

50. Simplify 1/(x + 1) + 1/(x-1)

2x/(x + 1)(x−3)

2x/(x + 1)2

2x(x+1)2

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