Mathematics Past Questions And Answers

Note: You Can Select Post UTME Schools Name Below The Exam Year.
3991

Solve the equations

m2 + n2 = 29

m + n = 7

  • A. (2, 3) and ( 3, 5)
  • B. (2, 5) and (5, 2)
  • C. (5, 2) and ( 5, 3)
  • D. (5, 3) and (3, 5)
View Discussion (0)JAMB 2001
3992

(a) A woman looking out from the window of a building at a height of 30m, observed that the angle of depression of the top of a flag pole was 44°. If the foot of the pole is 25m from the foot of the building and on the same horizontal ground, find, correct to the nearest whole number, the (i) angle of depression of the foot of the pole from the woman ; (ii) height of the flag pole.

(b)geometric In the diagram, O is the centre of the circle, < OQR = 32° and < TPQ = 15°. Calculate, (i) < QPR ; (ii) < TQ°.

View Discussion (0)WAEC 2009 THEORY
3993

The height of a pyramid on square base is 15cm. if the volume is 80cm3, find the area of the square base.

  • A. 8cm2
  • B. 9.6cm2
  • C. 16cm2
  • D. 25cm2
View Discussion (0)WAEC 2000 OBJ
3994

Find the minimum value of the function y = x(1+x)

  • A. -1/4
  • B. -1/2
  • C. 1/4
  • D. 1/2
View Discussion (0)JAMB 2008
3995

If a = 1, b = 3, solve for x in the equation \(\frac{a}{a - x}\) = \(\frac{b}{x - b}\)

  • A. \(\frac{4}{3}\)
  • B. \(\frac{2}{3}\)
  • C. \(\frac{3}{2}\)
  • D. \(\frac{3}{4}\)
View Discussion (0)JAMB 1994
3996
The diagram below is a circle with centre C. P, Q and S are points on the circumference. PS and SR are tangents to the circle. ∠PSR = 36\(^o\). Find ∠PQR
  • A. 72\(^0\)
  • B. 36\(^0\)
  • C. 144\(^0\)
  • D. 54\(^0\)
View Discussion (0)JAMB 2023
3997

Given that p = (8N,030º) and q = (9N, 150º), find, in component from, the unit vector along(p - q).

View Discussion (0)WAEC 2022 THEORY
3998

Find the value of \(\int^{\pi}_{0}\frac{cos^{2}\theta-1}{sin^{2}\theta}d\theta\)

  • A. π
  • B. π/2
  • C. -π/2
  • D. -π
View Discussion (0)JAMB 2000
3999

If y = x Sin x, find \(\frac{dy}{dx}\) when x = \(\frac{\pi}{2}\)

  • A. \(\frac{- \pi}{2}\)
  • B. -1
  • C. 1
  • D. \(\frac{ \pi}{2}\)
View Discussion (0)JAMB 2017
4000

Two out of ten tickets on sale for a raffle draw are winning tickets. If a guest bought two tickets, what is the probability that both tickets are winning tickets?

  • A. \(\frac{1}{80}\)
  • B. \(\frac{1}{45}\)
  • C. \(\frac{1}{20}\)
  • D. \(\frac{1}{10}\)
View Discussion (0)WAEC 2013 OBJ