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 1061: The ninary operation * is defined on the set of integers p and q by p*q = pq + p + q. Find 2 * (3 * 4). Options:
  A) 59
  B) 19
  C) 67
  D) 38
  Show Answer
  The correct answer is A .
• Question 1062:

  A car uses one litre of petrol for every 14km. If one litre of petrol cost ₦63.00, how far can the car go with ₦900.00 worth of petrol?

  Options:
  A) 420km
  B) 405km
  C) 210km
  D) 200km
  Show Answer
  The correct answer is D .
• Question 1063: Find $\int$(sin x + 2) dx. Options:
  A) -cosx + 2x + k
  B) cosx + 2x + k
  C) -cosx + x² + k
  D) cosx + x² + k
  Show Answer
  The correct answer is A .
• Question 1064: 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 1065: Simplify $\frac{3}{2x-1}$ + $\frac{2-x}{x-2}$ Options:
  A) $\frac{2-x}{(2x-1)(x-2)}$
  B) $\frac{5-x}{(2x-1)(x-2)}$
  C) $\frac{4-2x}{2x-1}$
  D) $\frac{6-3x}{(2x-1)(x-2)}$
  Show Answer
  The correct answer is C .
• Question 1066: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 1067: Find the range of values of m which satisfy (m - 3)(m - 4) < 0. Options:
  A) 2 < m < 5
  B) -3 < m < 4
  C) 3 < m < 4
  D) -4 < m < 3
  Show Answer
  The correct answer is C .
• Question 1068:

  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 1069:

  Measurements of the diameters, in centimeters, in centimeters, of 20 copper spheres are distributed as shown below:

  $\begin{array}{ccc}\text{Class boundary in cm}& \text{frequency}& \\ 3.35-3.45& 3\\ 3.45-3.55& 6\\ 3.55-3.65& 7\\ 3.65-3.75& 4\end{array}$

  What is the mean diameter of the copper spheres?

  Options:
  A) 3.40cm
  B) 3.58cm
  C) 3.56cm
  D) 3.62cm
  Show Answer
  The correct answer is C .
• Question 1070: If the 3rd and the 5th terms of an A.P are 6 and 10 respectively, find the 1st term and the common difference respectively. Options:
  A) 1, 2
  B) 2, 2
  C) 2, 3
  D) 3, 2
  E) 3,3
  Show Answer
  The correct answer is B .