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 331: Given that (3 - y) ÷ 2x = (6y + 7) ÷ (4x - 5), find the value of x when y = 2 Options:
  A) $\frac{64}{5}$
  B) 6
  C) $\frac{5}{34}$
  D) $\frac{-5}{34}$
  E) $\frac{-64}{5}$
  Show Answer
  The correct answer is D.
• Question 332: An arc of a circle subtends an angle of 75° at the centre of the circle. If the diameter of the circle is 7cm, what Is the length of the arc? (take π = 3.142) Options:
  A) 4.58 cm
  B) 8.02 cm
  C) 16.04 cm
  D) 32.08 cm
  E) 34 cm
  Show Answer
  The correct answer is A.
• Question 333: If n{A} = 6, n{B} = 5 and n{A ∩ B} = 2, find n{A ∪ B} Options:
  A) 7
  B) 8
  C) 9
  D) 13
  E) 15
  Show Answer
  The correct answer is C.
• Question 334: If 3 boys shared x oranges among themselves in the ratio 3:5:8, and smallest share was 45 oranges, find the value of x Options:
  A) 75
  B) 120
  C) 165
  D) 195
  E) 240
  Show Answer
  The correct answer is E.
• Question 335: Find the value of k such that $t^2$ + kt + $\frac{25}{4}$ is a perfect square Options:
  A) 5
  B) 3
  C) $\frac{5}{2}$
  D) $\frac{5}{4}$
  E) $\frac{1}{5}$
  Show Answer
  The correct answer is A.
• Question 336: The angle of elevation of the top T of a pole from a point X on the horizontal ground is 32°, if X is 68 m away from the foot F of the pole, calculate the height FT of the pole, correct to one decimal place. Options:
  A) 128.3m
  B) 108.8m
  C) 80.2m
  D) 57.7m
  E) 42.5m
  Show Answer
  The correct answer is E.
• Question 337: If the volume of a cube is (8 x 103)cm${}^3$, what is the surface area the cube? Options:
  A) 2,400 cm${}^3$
  B) 1,600 cm${}^3$
  C) 120 cm${}^3$
  D) 24 cm${}^3$
  E) 16 cm${}^3$
  Show Answer
  The correct answer is A.
• Question 338: A chord is drawn 12cm away from the centre of a circle of radius 13cm. What is the length of the chord? Options:
  A) 169.00 cm
  B) 144.00 cm
  C) 25.00 cm
  D) 17.69 cm
  E) 10.00 cm
  Show Answer
  The correct answer is E.
• Question 339:

  A bottle of malt costs three times as much as a bottle of Mirinda. If 5 bottles of malt and 4 bottles of Mirinda cost N380.00 altogether, how much does a bottle of malt cost?

  Options:
  A) N90.00
  B) N80.00
  C) N60.00
  D) N40.00
  E) N20.00
  Show Answer
  The correct answer is C.
• Question 340: Two beads are drawn at random, one after the other, with replacement, from a box containing 5 red and 7 white identical beads. What is the probability that the beads are the same colour Options:
  A) $\frac{119}{144}$
  B) $\frac{95}{144}$
  C) $\frac{37}{72}$
  D) $\frac{49}{144}$
  E) $\frac{1}{6}$
  Show Answer
  The correct answer is C.