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 1011: If the hypotenuse of right angled isosceles triangle is 2, what is the length of each of the other sides? Options:
  A) $\sqrt{2}$
  B) $\frac{1}{2}$
  C) 22
  D) 1
  E) 2 - 1
  Show Answer
  The correct answer is A .
• Question 1012:

  The cumulative frequency function of the data below is given below by the equation y = cf(x). What is cf(5)?

  $\begin{array}{cc}Score(n)& Frequency(f)\\ 3& 30\\ 4& 32\\ 5& 30\\ 6& 35\\ 8& 20\end{array}$

  Options:
  A) 30
  B) 32
  C) 55
  D) 62
  E) 92
  Show Answer
  The correct answer is E .
• Question 1013:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A .
• Question 1014: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 1015: By selling an article for ₦45.00 a man makes a profit of 8%. For how much should he have sold it in order to make a profit of 32%? Options:
  A) ₦180.00
  B) ₦59.90
  C) ₦63.00
  D) ₦58.00
  E) ₦55.00
  Show Answer
  The correct answer is E .
• Question 1016: Without using table, calculate the value of 1 + sec² 30^o Options:
  A) 2$\frac{1}{3}$
  B) $\frac{2}{15}$
  C) $\frac{5}{3}$
  D) 3$\frac{1}{2}$
  Show Answer
  The correct answer is A .
• Question 1017: Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction the the third teacher receive? Options:
  A) 8/15
  B) 11/25
  C) 12/25
  D) 13/25
  Show Answer
  The correct answer is D .
• Question 1018: Make x the subject of the relation $\frac{1+ax}{1-ax}$ = $\frac{p}{q}$ Options:
  A) $\frac{p+q}{a(p-q)}$
  B) $\frac{p-q}{a(p+q)}$
  C) $\frac{p-q}{apq}$
  D) $\frac{pq}{a(p-q)}$
  Show Answer
  The correct answer is B .
• Question 1019:

  

  In the diagram above, EFGH is a cyclic quadrilateral in which EH//FG, EG and FH are chords. If ∠FHG = 42${}^{\circ }$ and ∠EFH = 34${}^{\circ }$, calculate ∠HEG

  Options:
  A) 34${}^{\circ }$
  B) 42${}^{\circ }$
  C) 52${}^{\circ }$
  D) 76${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 1020:

  A bag contains 8 red balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a red ball then find the probability of drawing a red ball and a white ball if the balls are drawn without replacement.

  Options:
  A) $\frac{1}{3}$
  B) $\frac{2}{9}$
  C) $\frac{2}{3}$
  D) $\frac{8}{33}$
  Show Answer
  The correct answer is D .