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 541: If 9^{(x - $\frac{1}{2}$)} 3x² Options:
  A) $\frac{1}{2}$
  B) 1
  C) 2
  D) 3
  Show Answer
  The correct answer is B .
• Question 542: Solve the equations
  m² + n² = 29
  m + n = 7 Options:
  A) (2, 3) and ( 3, 5)
  B) (2, 5) and (5, 2)
  C) (5, 2) and ( 5, 3)
  D) (5, 3) and (3, 5)
  Show Answer
  The correct answer is B .
• Question 543: A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60^o. Calculate the height of the water tank. Options:
  A) 60m
  B) 30 $\sqrt{3}$m
  C) 20 $\sqrt{3}$m
  D) 10 $\sqrt{3}$m
  Show Answer
  The correct answer is B .
• Question 544:

  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 545: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 546:

  Marks	2	3	4	5	6	7	8
  No. of students	3	1	5	2	4	2	3

  From the table above, if the pass mark is 5, how many students failed the test?

  Options:
  A) 6
  B) 2
  C) 7
  D) 9
  Show Answer
  The correct answer is D .
• Question 547: The operation * on the set R of real number is defined by x * y = 3x + 2y − 1, find 3* − 1 Options:
  A) 9
  B) - 9
  C) 6
  D) - 6
  Show Answer
  The correct answer is C .
• Question 548: Find the angle subtended at the center of a circle by a chord which is equal in length to the radius of the circle. Options:
  A) 30${}^{\circ }$
  B) 45${}^{\circ }$
  C) 60${}^{\circ }$
  D) 90${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 549: Rationalize the expression $\frac{1}{\sqrt{2}+\sqrt{5}}$ Options:
  A) $\frac{1}{3}$($\sqrt{5}-\sqrt{2}$
  B) $\frac{\sqrt{2}}{3}$ + $\frac{\sqrt{5}}{5}$
  C) $\sqrt{2}-\sqrt{5}$
  D) 5($\sqrt{2}-\sqrt{5}$
  E) $\frac{1}{3}$($\sqrt{2}-\sqrt{5}$
  Show Answer
  The correct answer is A .
• Question 550: If x = $\left|\begin{array}{ccc}1& 0& 1\\ 2& -1& 0\\ -1& 0& 1\end{array}\right|$ and y = $\left|\begin{array}{ccc}-1& 1& 2\\ 0& -1& -1\\ 2& 0& 1\end{array}\right|$
  find 2x - y Options:
  A) $\left|\begin{array}{ccc}3& -1& 0\\ 4& -3& -1\\ -4& 1& 1\end{array}\right|$
  B) $\left|\begin{array}{ccc}3& -1& 0\\ 4& -1& 1\\ -4& 1& 1\end{array}\right|$
  C) $\left|\begin{array}{ccc}3& -1& 0\\ 4& -3& 1\\ -4& 1& 1\end{array}\right|$
  D) $\left|\begin{array}{ccc}3& -1& 0\\ 4& 1& 1\\ -4& -1& 1\end{array}\right|$
  Show Answer
  The correct answer is B .