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 181: Which of the following angular inequalities defines an obtuse angle?
  Options:
  A) 0° < x < 90°
  B) 0° ≤ x > 180°
  C) 90° < x < 180°
  D) 90° ≤ x < 180°
  E) 90° > x < 180°
  Show Answer
  The correct answer is C.
• Question 182: If y + $\frac{1}{y}$ = 9, evaluate y² + $\frac{1}{y^2}$ Options:
  A) 27
  B) 38
  C) 54
  D) 63
  E) 79
  Show Answer
  The correct answer is E.
• Question 183: If N25,000.00 is kept in a bank at the rate of 2% simple interest, how much will it amount to at the end of 5 years? Options:
  A) N2,500.00
  B) N5,000.00
  C) N12,500.00
  D) N27,500.00
  E) N125,000.00
  Show Answer
  The correct answer is D.
• Question 184: Construct a quadratic equation whose roots are -$\frac{3}{2}$ and 7 Options:
  A) 3x² + 11x + 21 = 0
  B) 2x² + 11x + 21 = 0
  C) 2x² - 11x – 21 = 0
  D) 3x² - 11x - 21 = 0
  E) x² - 11x – 21 = 0
  Show Answer
  The correct answer is C.
• Question 185: A chord XY of a circle with centre O and radius 5.32cm has ∠XOY = 140°. What is the length of the chord to the nearest centimetre? Options:
  A) 10cm
  B) 6cm
  C) 5cm
  D) 3cm
  E) 1cm
  Show Answer
  The correct answer is A.
• Question 186: Rationalize the expression $\frac{(7-\sqrt{3})}{(13-\sqrt{3})}$ Options:
  A) (44 + 3$\sqrt{3}$) ÷ 83
  B) (44 + 2$\sqrt{3}$) ÷ 83
  C) (44 - 3$\sqrt{3}$) ÷ 83
  D) (44 - 4$\sqrt{3}$) ÷ 83
  E) (44 - 2$\sqrt{3}$) ÷ 83
  Show Answer
  The correct answer is C.
• Question 187: In proving the congruence of two triangles, which of the following is not important? Options:
  A) two sides and the included angles
  B) two angles and a side
  C) three sides
  D) three angles
  E) right angle, hypotenuse and another side
  Show Answer
  The correct answer is B.
• Question 188: Bello chooses a number randomly from 1 to 10. What is the probability that it is either odd or prime? Options:
  A) $\frac{1}{10}$
  B) $\frac{2}{5}$
  C) $\frac{1}{2}$
  D) $\frac{3}{5}$
  E) $\frac{9}{10}$
  Show Answer
  The correct answer is D.
• Question 189: If tan α = $\frac{1}{2}$ and tan β = $\frac{1}{3}$ and both α and β are acute, find tan (α + β). Options:
  A) 0.015
  B) 1
  C) 10
  D) 39.81
  E) 45
  Show Answer
  The correct answer is B.
• Question 190: Multiply (3$\sqrt{a}$ - 4a) by (4a + 3$\sqrt{a}$) Options:
  A) 9a + 16a²
  B) 9a – 16a²
  C) 3a + 16a²
  D) 3a - 16a²
  E) a - 16a²
  Show Answer
  The correct answer is B.