Mathematics Past Questions And Answers

Note: You Can Select Post UTME Schools Name Below The Exam Year.
1

The expression ax2 + bx + c equals 5 at x = 1. If its derivative is 2x + 1, what are the values of a, b, c respectively?

  • A. 1, 3, 1
  • B. 1, 2, 1
  • C. 2, 1, 1
  • D. 1, 1, 3
View or Post an Explanation 8004 (0)JAMB 2000
2

PQRS is a cyclic quadrilateral. If ∠QPS = 75°, what is the size of ∠QRS?

  • A. 180°
  • B. 150°
  • C. 105°
  • D. 75°
View or Post an Explanation 26885 (0)WAEC 2003 OBJ
3

50 men can build a house in 60 days. How many more men of equal strength and ability must be put on so as to finish a similar house in 40 days?

  • A. 20 men
  • B. 30 men
  • C. 35 men
  • D. 25 men
View or Post an Explanation 2530 (1)POST UTME UNILORIN
4

Given that I3 is a unit matrix of order 3, find |I3|

  • A. -1
  • B. 0
  • C. 1
  • D. 2
View or Post an Explanation 9974 (0)JAMB 2012
5

A particle accelerates at 12\(ms^{-2}\) and travels a distance of 250m in 6 seconds. Find the initial velocity of the particle.

  • A. 5.7\(ms^{-1}\)
  • B. 6.0\(ms^{-1}\)
  • C. 60.0\(ms^{-1}\)
  • D. 77.5\(ms^{-1}\)
View or Post an Explanation 44523 (0)WAEC 2014 OBJ
6

Let A and B denote the events that the man wins contracts X and Y respectively.

Then P(A) = 0.5

P(A') = 1 - 0.5 = 0.5

P(B') = 0.3

P(B) = 1 - 0.3 = 0.7

(a) The probability that the man wins both contracts = \(0.5 \times 0.7 = 0.35\).

(b) The probability that the man wins exactly one of the contracts is \(P(A) \times P(B') + P(B) \times P(A')\)

= \(0.5 \times 0.3 + 0.7 \times 0.5\)

= \(0.15 + 0.35\)

= \(0.50\)

(c) Neither of the contracts (i.e not X, not Y) = \(P(A') \times P(B')\)

= \(0.5 \times 0.3\)

= \(0.15\)

View or Post an Explanation 27922 (0)WAEC 2014 THEORY
7

A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60º, find the width of the river?

  • A. 100m
  • B. 75√3 m
  • C. 100√3m
  • D. 200√3m
View or Post an Explanation 9254 (0)JAMB 2009
8

Three defective bulbs got mixed up with seven good ones. If two bulbs are selected at random, what is the probability that both are good?

  • A. \(\frac{3}{7}\)
  • B. \(\frac{21}{50}\)
  • C. \(\frac{7}{15}\)
  • D. \(\frac{49}{100}\)
View or Post an Explanation 44232 (0)WAEC 2009 OBJ
9

In the diagram below, three identical lamps each of 100 W are connected in parallel across a potential difference of 250 V. Calculate the reading of the ammeter.

In the diagram below, three identical lamps each of 100 W are connected in parallel
  • A. 7.5A
  • B. 2.5A
  • C. 1.2A
  • D. 0.8A
View or Post an Explanation 28216 (0)WAEC 1993 OBJ
10

If b3 = a-2 and c\(\frac{1}{3}\) = a\(\frac{1}{2}\)b, express c in terms of a

  • A. a-\(\frac{1}{2}\)
  • B. a\(\frac{1}{3}\)
  • C. a\(\frac{3}{2}\)
  • D. a\(\frac{2}{3}\)
View or Post an Explanation 7647 (0)JAMB 1998