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 2601: If p + 1, 2P - 10, 1 - 4p²are three consecutive terms of an arithmetic progression, find the possible values of p Options:
  A) -4, 2
  B) -3, $\frac{4}{11}$
  C) -$\frac{4}{11}$, 2
  D) 5, -3
  Show Answer
  The correct answer is C .
• Question 2602: Convert 72₆ to a number in base three Options:
  A) 2211
  B) 2121
  C) 1212
  D) 1122
  Show Answer
  The correct answer is D .
• Question 2603:

  

  In the figure, PQRS is a circle. If chords QR and RS are equal, calculate the value of x.

  Options:
  A) 80${}^{\circ }$
  B) 60${}^{\circ }$
  C) 45${}^{\circ }$
  D) 40${}^{\circ }$
  Show Answer
  The correct answer is D .
• Question 2604: A bag contains 4 blue and 8 red identical balls. If two balls are picked at random with replacement, what is the probability of picking two balls of different colours? Options:
  A) 1
  B) $\frac{13}{26}$
  C) $\frac{5}{18}$
  D) $\frac{4}{9}$
  E) $\frac{2}{9}$
  Show Answer
  The correct answer is D .
• Question 2605: The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test? Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{4}{15}$
  D) $\frac{1}{5}$
  E) $\frac{2}{15}$
  Show Answer
  The correct answer is C .
• Question 2606: 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 2607:

  A cylindrical tank has a capacity of 3080m${}^3$. What is the depth of the tank if the diameter of its base is 14m?

  Options:
  A) 25m
  B) 23m
  C) 22m
  D) 20m
  Show Answer
  The correct answer is D .
• Question 2608: The sum of the progression is 1 + x + x² + x³ + ...... Options:
  A) $\frac{1}{1-x}$
  B) $\frac{1}{1+x}$
  C) $\frac{1}{x-1}$
  D) $\frac{1}{x}$
  Show Answer
  The correct answer is A .
• Question 2609:

  

  The shaded area in the diagram above is represented by

  Options:
  A) {(x,y) : y - 3x < -6}
  B) {(x,y) : y + 3x < 6}
  C) {(x,y) : y + 3x < -6}
  D) {(x,y) : y - 3x < 6}
  Show Answer
  The correct answer is B .
• Question 2610:

  Simplify 81${}^{\frac{-3}{4}}$ x 25${}^{\frac{1}{2}}$ x 243${}^{\frac{2}{5}}$

  Options:
  A) $\frac{2}{5}$
  B) $\frac{3}{5}$
  C) $\frac{5}{2}$
  D) $\frac{5}{3}$
  Show Answer
  The correct answer is D .