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 151: The probability of a student passing any examination is $\frac{2}{3}$. If the student takes three examinations, what is the probability that he will not pass any of them? Options:
  A) $\frac{2}{3}$
  B) $\frac{4}{9}$
  C) $\frac{8}{27}$
  D) $\frac{1}{27}$
  Show Answer
  The correct answer is D .
• Question 152: Find the values of x and y respectively if
  $\left(\begin{array}{cc}1& 0\\ -1& -1\\ 2& 2\end{array}\right)$ + $\left(\begin{array}{cc}x& 1\\ -1& 0\\ y& -2\end{array}\right)$ = $\left(\begin{array}{cc}-2& 1\\ -2& -1\\ -30& 0\end{array}\right)$ Options:
  A) -3, -2
  B) -5, -3
  C) -2, -5
  D) -3, -5
  Show Answer
  The correct answer is D .
• Question 153:

  

  In the figure, TSP = PRQ, QR = 8cm, PR = 6cm and ST = 12cm. Find the length SP.

  Options:
  A) 4cm
  B) 16cm
  C) 9cm
  D) 14cm
  E) Impossible, insufficient data
  Show Answer
  The correct answer is B .
• Question 154: Simplify $\frac{5+\sqrt{7}}{3+\sqrt{7}}$ Options:
  A) 17 - $\sqrt{7}$
  B) 4 - $\sqrt{7}$
  C) 15 - $\sqrt{7}$
  D) 7 - $\sqrt{7}$
  Show Answer
  The correct answer is B .
• Question 155:

  

  In the figure, $△$ ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to

  Options:
  A) 3$\sqrt{2}$
  B) 2$\sqrt{3}$
  C) $\frac{\sqrt{3}}{2}$
  D) $\frac{2}{\sqrt{3}}$
  Show Answer
  The correct answer is B .
• Question 156: Solve the equation cos x + sin x $\frac{1}{cosx-sinx}$ for values of such that 0 $\le$ x < 2$\pi$. Options:
  A) $\frac{\pi }{2}$, $\frac{3\pi }{2}$
  B) $\frac{\pi }{3}$, $\frac{2\pi }{3}$
  C) 0, $\frac{\pi }{3}$
  D) 0, $\pi$
  Show Answer
  The correct answer is D .
• Question 157: If f(x - 2) = 3x² + 4x + 1. Find the area of the sector Options:
  A) 8
  B) 40
  C) 7
  D) 24
  E) 32
  Show Answer
  The correct answer is B .
• Question 158: Substract 16418₉ from 18630₉ Options:
  A) 1121₉
  B) 2112₉
  C) 2113₉
  D) 2211₉
  Show Answer
  The correct answer is D .
• Question 159:

  $\begin{array}{ccccc}\text{Scores}& 3& 6& 5& 2\\ \text{Frequency}& 2& 3& 4& 6\end{array}$

  From the table above, find the median.

  Options:
  A) 3
  B) 5
  C) 4
  D) 6
  Show Answer
  The correct answer is A .
• Question 160: If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64 Options:
  A) 12
  B) 6
  C) 3
  D) 5
  Show Answer
  The correct answer is B .