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 751: A man 40m from the foot of a tower observes the angle of elevation of the tower to be 30^o, Determine the height of the tower Options:
  A) 40m
  B) 40$\sqrt{3}$m
  C) 20m
  D) $\frac{40\sqrt{3}}{3}$
  Show Answer
  The correct answer is D .
• Question 752: A binary operation θ defined on the set of real number is such that xθy = xy/6 for all x, y ∈ R. Find the inverse of 20 under this operation when the identity element is 6 Options:
  A) ¹/₁₂
  B) ¹⁰/₃
  C) ¹/₂₀
  D) ⁹/₅
  Show Answer
  The correct answer is D .
• Question 753:

  $\begin{array}{cccccc}\text{Values}& 0& 1& 2& 3& 4\\ \text{Frequency}& 1& 2& 2& 1& 9\end{array}$

  Find the mode of the distribution above

  Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is D .
• Question 754: The graph of f(x) = x² - 5x + 6 crosses the x-axis at the points Options:
  A) (-6, 0), (-1, 0)
  B) (-3, 0), (-2,0)
  C) (-6, 0),(1, 0)
  D) (2, 0), (3, 0)
  Show Answer
  The correct answer is D .
• Question 755: The mean of a set of six numbers is 60. If the mean of the first five is 50, find the sixth number in the set. Options:
  A) 105
  B) 100
  C) 95
  D) 110
  Show Answer
  The correct answer is D .
• Question 756: The curved surface area of a cylinder 5cm high is 110cm². Find the radius of its base
  π = $\frac{22}{7}$ Options:
  A) 2.6cm
  B) 3.5cm
  C) 3.6cm
  D) 7.0cm
  Show Answer
  The correct answer is B .
• Question 757: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 758:

  

  In the figure, MNQP is a cyclic quadrilateral. MN and Pq are produced to meet at X and NQ and MP are produced to meet at Y. If MNQ = 86${}^{\circ }$ and NQP = 122${}^{\circ }$ find (x${}^{\circ }$, y${}^{\circ }$)

  Options:
  A) 28${}^{\circ }$, 36${}^{\circ }$
  B) 36${}^{\circ }$, 28${}^{\circ }$
  C) 43${}^{\circ }$, 61${}^{\circ }$
  D) 61${}^{\circ }$, 43${}^{\circ }$
  E) 36${}^{\circ }$, 43${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 759: One angle of a rhombus is 60^o. The shorter of the two diagonals is 8cm long. Find the length of the longer one. Options:
  A) 8$\sqrt{3}$
  B) $\frac{16}{\sqrt{3}}$
  C) $\sqrt{3}$
  D) $\frac{10}{\sqrt{3}}$
  Show Answer
  The correct answer is A .
• Question 760: The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test? Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{4}{15}$
  D) $\frac{1}{5}$
  E) $\frac{2}{15}$
  Show Answer
  The correct answer is C .