CBT JAMB maths 2015

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

2 Simplify 1¼ ÷ (2 ÷ ¼ of 28)

3. Factorize x^2 + 9x + 20

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?

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

Find ∩{X ∪ Y}

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

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

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

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

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?

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

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

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

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.

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

16. If log 5 20 = x, find x

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

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

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

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

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.

21 Factorize x^2 – 2x – 15

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

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

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

25. Simplify

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

27 Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3 ⅓, ⅓, 7}.
Find A∩B

28. Find x

.

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

30. Find the value of x

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

32. Solve x^2 − 2x − 3 = 0

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

34. Solve

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

36. Simplify 4 √[(390695T− 8)½)]

37.  Find x

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

39. Simplify

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

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

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

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.

44. Evaluate

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

46. Evaluate

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

48. Integrate

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

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