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 1:

  A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

  Options:
  A) 52cm
  B) 43cm
  C) 40cm
  D) 15cm
  Show Answer
  The correct answer is B .
• Question 2:

  PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If < PQS = 15^o, find < QRS

  Options:
  A) 75^o
  B) 37$\frac{1}{2}$^o
  C) 127$\frac{1}{2}$^o
  D) 105^o
  Show Answer
  The correct answer is D .
• Question 3:

  

  The grades A1, A2, A3, C4 and F earned by students in a particular course are shown in the pie chart. What percentage of the students obtained a C4 grade?

  Options:
  A) 52.0
  B) 43.2
  C) 40.0
  D) 12.0
  Show Answer
  The correct answer is D .
• Question 4: Which of the following fractions is less than one-third? Options:
  A) $\frac{22}{63}$
  B) $\frac{4}{11}$
  C) $\frac{15}{46}$
  D) $\frac{33}{98}$
  E) $\frac{122}{303}$
  Show Answer
  The correct answer is C .
• Question 5: A binary operation Δ is defined by aΔb = a + b + 1 for any numbers a and b. Find the inverse of the real number 7 under the operation Δ, if the identity element is -1 Options:
  A) -7
  B) -9
  C) 5
  D) 9
  Show Answer
  The correct answer is B .
• Question 6:

  The kinetic element with respect to the multiplication shown in the diagram below is

  $\begin{array}{ccccc}\oplus & p& p& r& s\\ p& r& p& r& p\\ q& p& q& r& s\\ r& r& r& r& r\\ s& q& s& r& q\end{array}$

  Options:
  A) p
  B) q
  C) r
  D) s
  Show Answer
  The correct answer is D .
• Question 7: A tax player is allowed $\frac{1}{8}$th of his income tax-free, and pays 20% on the remainder. If he pays ₦490.00 tax, what is his income? Options:
  A) ₦560.00
  B) ₦2,450.00
  C) ₦2,800.00
  D) ₦3,920.00
  Show Answer
  The correct answer is C .
• Question 8: S_n is the sum of the first n terms of a series given by S_n = n₂n - 1. Find the nth term Options:
  A) 4n + 1
  B) 4n - 1
  C) 2n + 1
  D) 2n - 1
  Show Answer
  The correct answer is D .
• Question 9: A man invested a sum of ₦280.00 partly at 5% and partly at 4%, if the total interest is ₦12.80 per annum, find the amount invested at 5%. Options:
  A) ₦14.00
  B) ₦120.00
  C) ₦140.00
  D) ₦160.00
  Show Answer
  The correct answer is D .
• Question 10: If the quadratic function 3x² - 7x + R is a perfect square, find R Options:
  A) $\frac{49}{24}$
  B) $\frac{49}{12}$
  C) $\frac{49}{13}$
  D) $\frac{49}{3}$
  E) $\frac{49}{36}$
  Show Answer
  The correct answer is B .