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 311: What must be added to 3x² - 5x to make it a perfect square? Options:
  A) $\frac{36}{25}$
  B) $\frac{25}{36}$
  C) -$\frac{25}{36}$
  D) -$\frac{5}{6}$
  E) -$\frac{6}{5}$
  Show Answer
  The correct answer is B.
• Question 312: Twice a number, x, is added to 5, the result is at least 11. What is the range of values of x?
  Options:
  A) x > 3
  B) x ≥ 3
  C) x ≤ 3
  D) x < 3
  E) x ≤ -3
  Show Answer
  The correct answer is B.
• Question 313: Simplify [1 ÷ (x + 1)] - [2 ÷ (x - 1)] + [3 ÷ (x² - 1)] Options:
  A) - 3x ÷ (x² - 1)
  B) - x ÷ (x² -1)
  C) x ÷ (x² - 1)
  D) (x + 1) ÷ (x² - 1)
  E) (x + 4) ÷ (x² - 1)
  Show Answer
  The correct answer is B.
• Question 314: The mean heights of 3 groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m Respectively. What is the mean height of all the students? Options:
  A) 1.52m
  B) 1.53m
  C) 1.54
  D) 1.55m
  E) 1.56m
  Show Answer
  The correct answer is C.
• Question 315: The mean and the range of the set of numbers: 1.20, 1.00, 0.90, 1.40, 0.80, 0.80, 1.20 and 1.10 are p and respectively. What is the value of p ÷ q Options:
  A) 1.11
  B) 65
  C) 1.85
  D) 2.45
  E) 3.85
  Show Answer
  The correct answer is B.
• Question 316: A girl on top of a storey building 36m high dropped a N10.00 note on the ground below. If the angle of depression of the N10.00 note is 35°, how far is the money from the girl? Options:
  A) 20.64m
  B) 29.48m
  C) 44.49m
  D) 49.55m
  E) 62.76m
  Show Answer
  The correct answer is E.
• Question 317: After what length of time will N2400.00 yield an interest of N60.00 at 1$\frac{1}{2}$% per annum? Options:
  A) 2$\frac{4}{5}$ years
  B) 1$\frac{2}{3}$ years
  C) 1$\frac{1}{2}$ years
  D) 1 years
  E) $\frac{3}{5}$ year
  Show Answer
  The correct answer is B.
• Question 318: Solve the equation: $\frac{1}{3}x$ + $\frac{2}{5}$ = $\frac{3}{4}x$ - $\frac{1}{6}$ Options:
  A) $\frac{17}{30}$
  B) $\frac{65}{102}$
  C) $\frac{25}{34}$
  D) $\frac{102}{75}$
  E) $\frac{34}{25}$
  Show Answer
  The correct answer is E.
• Question 319: An amount of money is shared among P,Q and R such that for every 3P gets, Q gets 2 and for every 1Q gets, R gets 4. Find P: Q : R Options:
  A) 3 : 1 : 4
  B) 3 : 2 : 1
  C) 3 : 2 : 4
  D) 3 : 3 : 4
  E) 3 : 2 : 8
  Show Answer
  The correct answer is E.
• Question 320: Simplify 2a² -4ab - 6a² - 10ab + 5ab - 5a² Options:
  A) -9(a + b)
  B) 9(a + b)
  C) -9a (a + b)
  D) 9a(a - b)
  E) 9b(a + b)
  Show Answer
  The correct answer is C.