NECO Mathematics Exam Past Questions and Answers

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 221: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B.
• Question 222: The diagonals of a rhombus are 6cm and 8cm. Find the area of the rhombus. Options:
  A) 96cm²
  B) 48cm²
  C) 24cm²
  D) 0.14cm²
  E) 12cm2
  Show Answer
  The correct answer is C.
• Question 223: Mohammed is 8 years older than Joy now. In five years’ time he will be twice as old as Joy. How old is Joy now? Options:
  A) 1$\frac{1}{2}$years
  B) 3years
  C) 4$\frac{1}{2}$years
  D) 6 years
  E) 8 years
  Show Answer
  The correct answer is B.
• Question 224: Simplify (6 - x - x²) ÷ (x² - 4) Options:
  A) (3 + x) ÷ (x + 2)
  B) (x - 3) ÷ (x - 2)
  C) (x - 3) ÷ (x + 3)
  D) (3 - x) ÷ (x + 2)
  E) (3 - x) ÷ (x - 2)
  Show Answer
  The correct answer is D.
• Question 225: Find the absolute mean deviation of the sample 10, 12, 14, 11, 13. Options:
  A) 14.6
  B) 14
  C) 12
  D) 6.2
  E) 1.2
  Show Answer
  The correct answer is E.
• Question 226: In Δ ABC, A = 60°, C = 90° and AC = 12m. Find the Length of the hypotenuse. Options:
  A) 24m
  B) 14m
  C) 12m
  D) 7m
  E) 6m
  Show Answer
  The correct answer is A.
• Question 227: For what value(s) of x is the expression (x² + 15x + 50) ÷ (x - 5) not defined Options:
  A) -5, -10
  B) -10
  C) -5
  D) 5
  E) 10, 5
  Show Answer
  The correct answer is D.
• Question 228: Evaluate log 18 + log⁶ - log16${}^{\frac{1}{2}}$ Options:
  A) log 3
  B) log 9
  C) log 20
  D) 3 log 2
  E) 3 log 3
  Show Answer
  The correct answer is E.
• Question 229: 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 230: A car dealer sells a car and makes a profit of 15%. If the car costs N320,000.00, how much did he sell the car? Options:
  A) N272,000.00
  B) N296,000.00
  C) N300,000.00
  D) N368,000.00
  E) N400,000.00
  Show Answer
  The correct answer is D.