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 21:

  The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number

  Options:
  A) 3
  B) 16
  C) 38
  D) 30
  Show Answer
  The correct answer is C .
• Question 22: The area of the curved surface of the cone generated by the sector of a circle radius 6cm and are length 22cm is ($\pi$ = $\frac{22}{7}$) Options:
  A) 58 sq.cm
  B) 34 sq.cm
  C) 132 sq.cm
  D) 77 sq.cm
  E) 66 sq.cm
  Show Answer
  The correct answer is E .
• Question 23: If two smaller sides of a right angled triangle are 4cm and 5cm, find its area Options:
  A) 10 cm²
  B) 6 cm²
  C) 24 cm²
  D) 8 cm²
  Show Answer
  The correct answer is A .
• Question 24:

  A room is12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

  Options:
  A) $\frac{15}{17}$
  B) $\frac{8}{17}$
  C) $\frac{8}{15}$
  D) $\frac{12}{17}$
  Show Answer
  The correct answer is A .
• Question 25: If the gradient of the curve y = 2kx² + x + 1 at x = 1 is 9, find k. Options:
  A) 4
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is C .
• Question 26: Given a regular hexagon, calculate each interior angle of the hexagon Options:
  A) 60^o
  B) 30^o
  C) 120^o
  D) 45^o
  E) 135^o
  Show Answer
  The correct answer is C .
• Question 27: The solution of the quadratic inequality (x² + x - 12) $\ge$ 0 is Options:
  A) x $\ge$ 3 or x $\ge$ -4
  B) x $\le$ 3 or x $\le$ -4
  C) x $\ge$ 3 or x $\le$ -4
  D) x $\ge$ -3 or x $\le$ 4
  Show Answer
  The correct answer is C .
• Question 28: A binary operation * is defined by a*b = a^b. If a*2 = 2-a, find the possible values of a. Options:
  A) 1, -1
  B) 1, 2
  C) 2, -2
  D) 1, -2
  Show Answer
  The correct answer is D .
• Question 29: Solve the simultaneous equations $\frac{2}{x}-\frac{2}{x}$ = 2, $\frac{4}{x}+\frac{3}{y}$ = 10 Options:
  A) x = $\frac{3}{2}$, y = $\frac{3}{2}$
  B) x = $\frac{1}{2}$, y = $\frac{3}{2}$
  C) x = $\frac{-1}{2}$, y = $\frac{-3}{2}$
  D) x = $\frac{1}{2}$, y = $\frac{3}{2}$
  Show Answer
  The correct answer is B .
• Question 30: Simplify $\frac{x+2}{x+1}$ - $\frac{x-2}{x+2}$ Options:
  A) $\frac{3}{x+1}$
  B) $\frac{3x+2}{(x+1)(x+2)}$
  C) $\frac{5x+6}{(x+1)(x+2)}$
  D) $\frac{2x^2+5x+2}{(x+1)(x+2)}$
  Show Answer
  The correct answer is C .