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 861: If tan $\theta$ = $\frac{5}{4}$ find sin²$\theta$ - cos²$\theta$ Options:
  A) $\frac{9}{41}$
  B) $\frac{5}{4}$
  C) 1
  D) $\frac{9}{1}$
  Show Answer
  The correct answer is A .
• Question 862:

  

  The graph shows the cumulative frequency of the distribution of masses of fertilizer for 48 workers in one institution. Which of the following gives the inter-quartile range?

  Options:
  A) $\frac{1}{2}(Q_3-Q_1)$
  B) Q₃ - Q₂
  C) Q₃ - Q₂
  D) Q₃ - Q₁
  Show Answer
  The correct answer is A .
• Question 863: A particle P moves between points S and T such that angles SPT is always constant of ST constant. Find the locus off P Options:
  A) It is a semi circle with ST as diameter
  B) It is a perpendicular bisector of St
  C) It is a quadrant of a circle with ST as diameter
  D) It is a straight line perpendicular to ST
  Show Answer
  The correct answer is A .
• Question 864: Find y, if $\sqrt{12}-\sqrt{147}$ + y$\sqrt{3}$ = 0 Options:
  A) 3
  B) 7
  C) 1
  D) 5
  Show Answer
  The correct answer is D .
• Question 865: If y = 2x² + 9x - 35. Find the range of values for which y < 0. Options:
  A) 7 < x < $\frac{5}{2}$
  B) -5 < 7 < x
  C) -7 < x < 5
  D) -7 < x < $\frac{5}{2}$
  Show Answer
  The correct answer is D .
• Question 866: If 3 boys shared x oranges among themselves in the ratio 3:5:8, and smallest share was 45 oranges, find the value of x Options:
  A) 75
  B) 120
  C) 165
  D) 195
  E) 240
  Show Answer
  The correct answer is E .
• Question 867:

  $\begin{array}{cccccc}\text{Class Interval}& 1-5& 6-10& 11-15& 16-20& 21-25\\ Frequency& 6& 15& 20& 7& 2\end{array}$

  Estimate the median of the frequency distribution above

  Options:
  A) 10$\frac{1}{2}$
  B) 11$\frac{1}{2}$
  C) 12
  D) 13
  Show Answer
  The correct answer is C .
• Question 868:

  

  The pie chart above shows the expenditure of a family whose income is N30.000. If the expenditure on food is twice that on housing and that on school fees is twice that on transport, how much does the family spend on food?

  Options:
  A) N28,000
  B) N12,500
  C) N15,000
  D) N25,000
  Show Answer
  The correct answer is B .
• Question 869: If $\sqrt{3^x}$ = $\sqrt{9}$ then the value of x is: Options:
  A) $\frac{3}{4}$
  B) $\frac{4}{3}$
  C) $\frac{1}{3}$
  D) $\frac{2}{3}$
  E) $\frac{1}{2}$
  Show Answer
  The correct answer is E .
• Question 870: Simplify $\frac{2\sqrt{2}-\sqrt{3}}{\sqrt{2}+\sqrt{3}}$ Options:
  A) 3$\sqrt{6}-7$
  B) 3$\sqrt{6}-7$
  C) 3$\sqrt{6}-1$
  D) 3$\sqrt{6}+1$
  Show Answer
  The correct answer is A .