Mathematics Past Questions And Answers

Note: You Can Select Post UTME Schools Name Below The Exam Year.
221

Two fair die are thrown. M is the event described by "The sum of the scores is 10" and N is the event described by "The difference between the scores is 3".

(a) Write out the elements of M and N.

(b) Find the probability of M or N.

(c) Are M and N mutually exclusive? Give reasons.

View Discussion (0)WAEC 2010 THEORY
222

(a) Given that \(\cos x = 0.7431, 0° < x < 90°\), use tables to find the values of : (i) \(2 \sin x\) ; (ii) \(\tan \frac{x}{2}\).

(b) The interior angles of a pentagon are in ratio 2 : 3 : 4 : 4 : 5. Find the value of the largest angle.

View Discussion (0)WAEC 2000 THEORY
223

The position vectors of A and B are (2i + j) and (-i + 4j) respectively; find |AB|.

  • A. \(3\sqrt{2}\)
  • B. \(\sqrt{34}\)
  • C. \(\sqrt{34}\)
  • D. \(9\sqrt{2}\)
View Discussion (0)WAEC 2009 OBJ
224

At what value of x is the function x2 + x + 1 minimum?

  • A. -1
  • B. −1/2
  • C. 1/2
  • D. 1
View Discussion (0)JAMB 1990
225

If the radius of the parallel of latitude 30°N is equal to the radius of the parallel of latitude θ°S, what is the value of θ?

  • A. 75°
  • B. 60°
  • C. 45°
  • D. 30°
View Discussion (0)WAEC 1990 OBJ
226

Find the mean of the following set: 41,38,27,42,35,38,44

  • A. 53
  • B. 37.9
  • C. 31.7
  • D. 34.9
View Discussion (0)SAT 2021
227

There is a boat with a ladder attached to it and the ladder is eight metres tall if the water rises four metres how much of the ladder will be on to of the water?

  • A. 12 metres
  • B. 48 metres
  • C. 8 metres
  • D. 10 metres
View Discussion (0)POST UTME UNILORIN
228

(a) A plane flies due East from A(lat. 53°N, long. 25°E) to a point B(lat. 53°N, long. 85°E) at an average speed of 400 km/h. The plane then flies South from B to a point C 2000km away. Calculate, correct to the nearest whole number :

(a) the distance between A and B.

(b) the time the plane takes to reach point B ;

(c) the latitude of C.

[Take radius of the earth = 6400km; \(\pi = \frac{22}{7}\)].

View Discussion (0)WAEC 2005 THEORY
229

Without using table, solve the equation 8x-2 = \(\frac{2}{25}\)

  • A. 4
  • B. 6
  • C. 8
  • D. 10
View Discussion (0)JAMB 1994
230

What is 7/8 of the profit of a contractor in a year, if half of the profit made is N2880.72?

  • A. N5040.26
  • B. N5041.26
  • C. N2520.63
  • D. N5041.36
View Discussion (0)POST UTME UNILORIN