Mathematics 2018 Past Questions | JAMB
Study the following Mathematics past questions and answers for JAMB, WAEC NECO and Post-JAMB. Get prepared with official past questions and answers for upcoming examinations.
41.
The table below shows the frequency of children of age x years in a hospital:
x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
f | 3 | 4 | 5 | 6 | 7 | 6 | 5 | 4 |
Use the table to answer the question below:
How many children are in the hospital
- A. 36
- B. 40
- C. 44
- D. 50
Correct Option: Answer is B
The total number of students is ∑ f = 3 + 4 + 5 + 6 + 7 + 6 + 5 + 4
= 40
42.
The figure below is a Venn diagram showing the elements arranged within sets A,B,C,ε.
Use the figure to answer this question
What is n(A U B)1 ?
- A. 2
- B. 3
- C. 4
- D. 7
Correct Option: Answer is C
A = (p, q, r, t, u, v)
B = (r, s, t, u)
A U B = Elements in both A and B = (p, q, r, s, t, u, v)
(A U B)1 = elements in the universal set E but not in (A U B)= (w, x, y, z)
n(A U B) 1 = number of the elements in (A U B)1 = 4
43. What is the loci of a distance 4cm from a given point P?
- A. A straight line of length 4cm
- B. a circle of radius 4cm
- C. perpendicular to point P at 4cm
- D. a circle of diameter 4cm
Correct Option: Answer is B
Locus is the path traced at by a point which moves in accordance with a certain law. It is also the set of all possible position occupied by an object The path traced from all possible location of 4cm from a given point P form a circle of radius 4cm with centre P
44. Given that Sin (5\(_x\) − 28)\(^o\) = Cos(3\(_x\) − 50)\(^o\), O\(_x\) < 90\(^o\)
Find the value of x
- A. 14\(^o\)
- B. 21\(^o\)
- C. 32\(^o\)
- D. 39\(^o\)
Correct Option: Answer is B
Sin(5x – 28) = Cos(3x – 50)………..i
But Sinα = Cos(90 – α)
So Sin(5x – 28) = Cos(90 – [5x – 28])
Sin(5x – 28) = Cos(90 – 5x + 28)
Sin(5x – 28) = Cos(118 – 5x)………ii
Combining i and ii
Cos(3x – 50) = Cos(118 – 5x)
3x – 50 = 118 – 5x
Collecting the like terms
3x + 5x = 118 + 50
8x = 168
x = \(\frac{168}{8}\)
x = 21\(^o\)
45. Find the average of the first four prime numbers greater than 10
- A. 20
- B. 19
- C. 17
- D. 15
Correct Option: Answer is D
Prime numbers are numbers that has only two factors (i.e 1 and itself). They are numbers that are only divisible by 1 and their selves. First four Prime numbers greater than 10 are 11, 13, 17 and 19
Average = sum of numbers / number
= (11+13+17+19)/4
= 604
= 15
46. Find the average of the first four prime numbers greater than 10
- A. 20
- B. 19
- C. 17
- D. 15
Correct Option: Answer is B
47. Convert 0.04945 to two significant figures
- A. 0.040
- B. 0.049
- C. 0.050
- D. 0.49
Correct Option: Answer is B
48. Calculate 243\(_{six}\) – 243\(_{five}\) expressing your answer in base 10
- A. 0
- B. 1
- C. 26
- D. 46
Correct Option: Answer is C
Since they are of different base, convert to base 10
243\(_{six}\) = (2 x 62) + (4 x 61) + (3 x 60)
= 72 + 24 + 3 = 99 base 10
243\(_{six}\) = 2 x 52 + 4 x 51 +3 x 50
50 + 20 + 3 = 73 base 10
Subtracting them, 99 – 73
= 26
49. Evaluate ∫\(^2_1\) \(\frac{5}{x}\) dx
- A. 1.47
- B. 2.67
- C. 3.23
- D. 3.47
Correct Option: Answer is C
∫\(\frac{5}{x}\) dx = 5 ∫\(\frac{1}{x}\) = 5Inx
Since the integral of \(\frac{1}{x}\) is Inx
∫\(^2\) \(_1\)∫ \(\frac{5}{x}\) dx = 5
dx = 5 (In<2 – InIn1)
= 3.4657
= 3.47
50. Tossing a coin and rolling a die are two separate events. What is the probability of obtaining a tail on the coin and an even number on the die?
- A. 1/16
- B. 1/6
- C.
- D. 3/8