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 51: If the gradient of the curve y = 2kx² + x + 1 at x = 1 is 9, find k. Options:
  A) 4
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is C .
• Question 52:

  find the range of values of values of r which satisfies the following inequality, where a, b and c are positive $\frac{r}{a}$ + $\frac{r}{b}$ + $\frac{r}{c}$ > 1

  Options:
  A) r > $\frac{abc}{bc+ac+ab}$
  B) r < abc
  C) r > $\frac{1}{a}$ + $\frac{1}{b}$ + $\frac{1}{c}$
  D) r < $\frac{1}{abc}$
  Show Answer
  The correct answer is A .
• Question 53:

  

  PQRS is a cyclic quadrilateral which PQ = PS. PT is a tangent to the circle and PQ makes an angle of 50${}^{\circ }$ with the tangent as shown in the figure. What is the size of QRS?

  Options:
  A) 50${}^{\circ }$
  B) 40${}^{\circ }$
  C) 110v
  D) 80${}^{\circ }$
  E) 100${}^{\circ }$
  Show Answer
  The correct answer is E .
• Question 54: Without using tables find the numerical value of log₇49 + log7_{($\frac{1}{7}$)} Options:
  A) 1
  B) 2
  C) 3
  D) 7
  E) 9
  Show Answer
  The correct answer is A .
• Question 55:

  Evaluate $lo{g}_{\sqrt{2}}4+lo{g}_{\frac{1}{2}}16-lo{g}_{4}32$

  Options:
  A) -5.5
  B) -2.5
  C) 2.5
  D) 5.5
  Show Answer
  The correct answer is B .
• Question 56: Find the value of k if $\frac{5+2r}{(r+1)(r-2)}$ expressed in partial fraction is $\frac{k}{r-2}$ + $\frac{L}{r+1}$ where K and L are constants Options:
  A) 3
  B) 2
  C) 1
  D) -1
  Show Answer
  The correct answer is A .
• Question 57: The arithmetic mean of the ages of 30 pupils in a class is 15.3 years. One boy leaves the class and one girl is enrolled, and the new average age of 30 pupils in the class becomes 15.2 years. How much older is the boy than the girl? Options:
  A) 30 years
  B) 6 years
  C) 9 years
  D) 3 years
  E) 1 year
  Show Answer
  The correct answer is D .
• Question 58: if P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is Options:
  A) A straight line
  B) a circle
  C) the bisector of angle PXQ
  D) the perpendicular bisector of PQ
  Show Answer
  The correct answer is D .
• Question 59: Find the range of 1/6, 1/3, 3/2, 2/3, 8/9 and 4/3 Options:
  A) 3/4
  B) 5/6
  C) 7/6
  D) 4/3
  Show Answer
  The correct answer is D .
• Question 60: The probability of an event P is $\frac{3}{4}$ while that of another event Q is $\frac{1}{6}$. If the probability of both P and Q is $\frac{1}{2}$. What is the probability of either P or Q. Options:
  A) $\frac{1}{96}$
  B) $\frac{1}{8}$
  C) $\frac{5}{6}$
  D) $\frac{11}{12}$
  Show Answer
  The correct answer is C .