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 1971: Make Q the subject of the formula when L = $\frac{4}{3}$ m$\sqrt{PQ}$ Options:
  A) $\frac{9L^2}{16m^{2}P}$
  B) $\frac{3L}{4m\sqrt{P}}$
  C) $\frac{\sqrt{3L}}{4mP}$
  D) $\frac{3L^2}{16m^{2}P}$
  Show Answer
  The correct answer is A .
• Question 1972: Simplify $\sqrt{6a}\times \sqrt{576a^6}$ Options:
  A) ± 16a2
  B) ± 16a
  C) ± 14a2
  D) ± 12a2
  E) ± 12a
  Show Answer
  The correct answer is D .
• Question 1973: The binary operation on the set of real numbers is defined by m*n = $\frac{mn}{2}$ for all m, n $\in$ R. If the identity element is 2, find the inverse of -5 Options:
  A) $-\frac{4}{5}$
  B) $-\frac{2}{5}$
  C) 4
  D) 5
  Show Answer
  The correct answer is A .
• Question 1974: Solve for a positive number x such that 2(x³ - x² - 2x) = 1 Options:
  A) 4
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is C .
• Question 1975: The letters of the word MATRICULATION are cut and put into a box. One letter is drawn at random from the box. Find the probability of drawing a vowel Options:
  A) $\frac{7}{13}$
  B) $\frac{5}{13}$
  C) $\frac{6}{13}$
  D) $\frac{8}{13}$
  E) $\frac{4}{13}$
  Show Answer
  The correct answer is C .
• Question 1976: Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + ..... Options:
  A) $\frac{5}{8}$
  B) $\frac{5}{7}$
  C) $\frac{5}{11}$
  D) $\frac{5}{9}$
  Show Answer
  The correct answer is D .
• Question 1977: On each market day Mrs. Bassey walks to the market from her home at a steady speed. This journey normally takes her 2 hours to complete. She finds, however, that by increasing her usual speed by 1 km/hr she can save 20 minutes. Find her usual speed in km/hr Options:
  A) 1$\frac{2}{3}$
  B) 2
  C) 5
  D) 6
  E) 10
  Show Answer
  The correct answer is C .
• Question 1978: Simplify f^{$\frac{1}{2}$}g²h^{$\frac{1}{2}$} $÷$ f^{$\frac{5}{2}$}g^oh^{$\frac{7}{3}$} Options:
  A) ($\frac{g}{fh}$)²
  B) f²g²h²
  C) $\frac{5}{4}$g^oh$\frac{7}{9}$
  D) $\frac{g^2}{f^5{h}^7}$
  E) $\frac{1}{f^2{h}^2}$
  Show Answer
  The correct answer is A .
• Question 1979: A binary operation on the real set of numbers excluding -1 is such that for all m, n ∈ R, mΔn = m+n+mn. Find the identity element of the operation. Options:
  A) 1
  B) zero
  C) -¹/₂
  D) -1
  Show Answer
  The correct answer is B .
• Question 1980: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .