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 1961: if P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is Options:
  A) A straight line
  B) a circle
  C) the bisector of angle PXQ
  D) the perpendicular bisector of PQ
  Show Answer
  The correct answer is D .
• Question 1962: Express the product of 0.00043 and 2000 in standard form. Options:
  A) 8.6 x 10^-3
  B) 8.3 x 10^-2
  C) 8.6 x 10^-1
  D) 8.6 x 10
  Show Answer
  The correct answer is C .
• Question 1963:

  If $P=(\frac{Q(R-T)}{15}{)}^{\frac{1}{3}}$, make T the subject of the formula.

  Options:
  A) $T=\frac{15R-Q}{P^3}$
  B) $T=R-\frac{15P^3}{Q}$
  C) $T=\frac{R-15P^3}{Q}$
  D) $T=\frac{R+P^3}{15Q}$
  Show Answer
  The correct answer is B .
• Question 1964:

  

  In the diagram above are two concentric circles of radii r and R respectively with center O. If r = ²/₃R, express the area of the shaded portion in terms of π and R

  Options:
  A) ²¹/₂₅πR²
  B) ⁹/₂₅πR²
  C) ²¹/₂₃πR²
  D) ⁵/₉πR²
  Show Answer
  The correct answer is D .
• Question 1965: A side of a rhombus is 2cm in length. An angle of the rhombus is 60^o. What is the length of the diagonal facing this angle? Options:
  A) 2cm
  B) 8cm
  C) 4cm
  D) 2$\sqrt{3}$cm
  E) 16cm
  Show Answer
  The correct answer is D .
• Question 1966: A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height? Options:
  A) 9cm
  B) $\sqrt{65}$cm
  C) 4$\sqrt{2}$cm
  D) 7cm
  E) 6.5cm
  Show Answer
  The correct answer is B .
• Question 1967: Find the value of x for which the function f(x) = 2x³ - x² - 4x + 4 has a maximum value Options:
  A) ²/₃
  B) 1
  C) - ²/₃
  D) - 1
  Show Answer
  The correct answer is B .
• Question 1968:

  

  In the figure, GHIJKLMN is a cube of side a. Find the length of HN.

  Options:
  A) $\sqrt{3a}$
  B) 3a
  C) 3a²
  D) a$\sqrt{2}$
  E) a$\sqrt{3}$
  Show Answer
  The correct answer is E .
• Question 1969: Find the non-zero positive value of x which satisfies the equation $\left|\begin{array}{ccc}x& 1& 0\\ 1& x& x\\ 0& 1& x\end{array}\right|$ = 0 Options:
  A) 2
  B) 4
  C) √3
  D) √2
  E) 1
  Show Answer
  The correct answer is A .
• Question 1970: Find the area of the figure bounded by the given pair of curves y = x² - x + 3 and y = 3 Options:
  A) 17/6 units (sq)
  B) 7/6 units (sq)
  C) 5/6 units (sq)
  D) 1/6 units (sq)
  Show Answer
  The correct answer is A .