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 351: Solve the equation x² - 3x - 10 = 0 Options:
  A) -2 or -5
  B) -3 or -10
  C) 5 or -2
  D) 2 or 5
  E) 3 or 10
  Show Answer
  The correct answer is C.
• Question 352: Evaluate ($\frac{1}{343}$)${}^{\frac{1}{3}}$ + (64)${}^{-\frac{1}{3}}$ - $\frac{4}{9}$${}^{-\frac{1}{2}}$ Options:
  A) -$\frac{17}{36}$
  B) -$\frac{3}{28}$
  C) $\frac{13}{28}$
  D) $\frac{17}{36}$
  E) $\frac{1}{4}$
  Show Answer
  The correct answer is B.
• Question 353: If sin θ = 4/5 where 0° ∠ θ ∠ 900, what is the value of cos θ + tan θ? Options:
  A) $\frac{14}{15}$
  B) $\frac{15}{29}$
  C) $\frac{13}{8}$
  D) $\frac{144}{15}$
  E) $\frac{24}{5}$
  Show Answer
  The correct answer is D.
• Question 354: The lengths of the sides of a triangle are 15m, 21m, and 28cm. What is the size of the angle facing the side 21m (correct to one decimal place)? Options:
  A) 85.7°
  B) 47.5°
  C) 41.5°
  D) 41.4°
  E) 38.2°
  Show Answer
  The correct answer is B.
• Question 355: If t varies inversely as the cube of s, and t = 24, when s = 3, find t when s = 2 Options:
  A) 8
  B) 24
  C) 27
  D) 81
  E) 648
  Show Answer
  The correct answer is D.
• Question 356:

  Two fair coins are tossed at the same time. What is the probability of getting at least a head?

  Options:
  A) 1
  B) $\frac{3}{4}$
  C) $\frac{1}{2}$
  D) $\frac{1}{3}$
  E) $\frac{1}{4}$
  Show Answer
  The correct answer is B.
• Question 357:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A.
• Question 358: 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 359: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C.
• Question 360: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D.