Mathematics Exam Past Questions and Answers | JAMB, WAEC and NECO

Mathematics looks at measurement, relationships, and properties of numbers and groups using numbers and symbols. Important topics in math include arithmetic, algebra, geometry, and calculus.

• Question 1961:

  If $\frac{2\sqrt{3}-\sqrt{2}}{\sqrt{3}+2\sqrt{2}}$ = m + n √ 6, find the values of m and n respectively.

  Options:
  A) 1, − 2
  B) − 2, n = 1
  C) $\frac{-2}{5}$, 1
  D) $\frac{2}{3}$
  Show Answer
  The correct answer is B .
• Question 1962: If X $\ast$ Y = X + Y - XY, find x when (x $\ast$ 2) + (x $\ast$ 3) = 68 Options:
  A) 24
  B) 22
  C) -12
  D) -21
  Show Answer
  The correct answer is D .
• Question 1963: Evaluate $\frac{2}{6-5\sqrt{3}}$ Options:
  A) $-(\frac{12}{39}-\frac{10\sqrt{3}}{39})$
  B) $\frac{12}{39}-\frac{10\sqrt{3}}{39}$
  C) $-(\frac{12}{39}+\frac{10\sqrt{3}}{39})$
  D) $\frac{12}{39}+\frac{10\sqrt{3}}{39}$
  Show Answer
  The correct answer is C .
• Question 1964:

  Two numbers are respectively 35% and 80% more than a third number. The ratio of the two numbers is

  Options:
  A) 7 : 16
  B) 3 : 4
  C) 16 : 7
  D) 4 : 3
  Show Answer
  The correct answer is B .
• Question 1965: The scores of set of final year students in the first semester examination in a paper are 41, 29, 55, 21, 47, 70, 70, 40, 43, 56, 73, 23, 50, 50. Find the median of the scores. Options:
  A) 47
  B) 50
  C) 48$\frac{1}{2}$
  D) 48
  E) 49
  Show Answer
  The correct answer is C .
• Question 1966:

  If y = 8x${}^3$ - 3x${}^2$ + 7x - 1, find $\frac{{\mathrm{d}}^{2}y}{\mathrm{d}{x}^2}$.

  Options:
  A) 48x - 6
  B) 11x${}^2$ + 6x - 7
  C) 32x + 7
  D) 24x${}^2$ - 6x + 7
  Show Answer
  The correct answer is A .
• Question 1967:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A .
• Question 1968:

  

  In the figure, PQr is a semicircle while PQ and Qr are chords. QS is the perpendicular from Q to the diameter PR. What is the expression for QS?

  Options:
  A) QS = PS$\sqrt{SR}$
  B) QS = $\sqrt{(PSSR)}$
  C) QS = 2$\sqrt{(PSSR)}$
  D) QS = $\frac{1}{\sqrt{2}}$$\sqrt{(PSSR)}$
  Show Answer
  The correct answer is B .
• Question 1969: Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1. Options:
  A) 12π
  B) 4π
  C) 24π
  D) 8π
  Show Answer
  The correct answer is B .
• Question 1970: From a point P, the bearings of two points Q and R are N67⁰W and N23⁰E respectively. If the bearing of R from Q is N68⁰E and PQ = 150m, calculate PR Options:
  A) 120m
  B) 140m
  C) 150m
  D) 160m
  Show Answer
  The correct answer is C .