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 931: If x is a positive real number, find the range of values for which $\frac{1}{3x}$ + $\frac{1}{2}$ > $\frac{1}{4x}$
  Options:
  A) 0 > -$\frac{1}{6}$
  B) x > 0
  C) 0 < x < 4
  D) 0 < x < $\frac{1}{6}$
  Show Answer
  The correct answer is D .
• Question 932: Find the remainder when 3x³ + 5x² - 11x + 4 is divided by x + 3 Options:
  A) -4
  B) 4
  C) 1
  D) -1
  Show Answer
  The correct answer is C .
• Question 933:

  From a point P, R is 5km due West and 12km due South. Find the distance between P and R'.

  Options:
  A) 5km
  B) 12km
  C) 13km
  D) 17km
  Show Answer
  The correct answer is C .
• Question 934:

  $\begin{array}{cccc}\text{Class Interval}& Frequency& \text{Class boundaries}& \text{Class Mid-point}\\ 1.5-1.9& 2& 1.45-1.95& 1.7\\ 2.0-2.4& 21& 1.95-2.45& 2.2\\ 2.5-2.9& 4& 2.45-2.95& 2.7\\ 3.0-2.9& 15& 2.95-3.45& 3.2\\ 3.5-3.9& 10& 3.45-3.95& 3.7\\ 4.0-4.4& 5& 3.95-4.45& 4.2\\ 4.5-4.9& 3& 4.45-4.95& 4.7\end{array}$

  Find the mode of the distribution above to find the mode of the distribution.

  Options:
  A) 3.2
  B) 3.3
  C) 3.7
  D) 4.2
  Show Answer
  The correct answer is B .
• Question 935: Evaluate ${\int }_1^2(6x^2-2x)dx$ Options:
  A) 16
  B) 13
  C) 12
  D) 11
  Show Answer
  The correct answer is D .
• Question 936: The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone Options:
  A) 7cm
  B) 22cm
  C) 28cm
  D) 49cm
  E) 154cm
  Show Answer
  The correct answer is C .
• Question 937: 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 938: In a racing competition, Musa covered a distance 5x km in the first hour and (x + 10)km in the next hour. He was second to Nzozi who covered a total distance of 118km in the two hours. Which of the following inequalities is correct?
  Options:
  A) -1 < x < x < 0
  B) -3 < x < 3
  C) 0 $\le$ x < 18
  D) 15 < x < 18
  Show Answer
  The correct answer is C .
• Question 939: If two angles of a triangle are 30^o each and the longest side is 10cm. Calculate the length of each of the other sides Options:
  A) 5cm
  B) 4cm
  C) 3√3 cm
  D) 10$\frac{3}{3}$cm
  Show Answer
  The correct answer is D .
• Question 940: Evaluate ut - $\frac{1}{2}$ft² when t = 5, u = -20 and f = 10 Options:
  A) 225
  B) 72
  C) -75
  D) -125
  E) -225
  Show Answer
  The correct answer is E .