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 321: A boy leaves station X on a bearing of 035° to station y which is 21km away. He then travels to another station Z on a bearing of 125°. If Z is directly East of X, what is the distance from X to his present position? Options:
  A) 3.0km
  B) 12.04km
  C) 17.2km
  D) 34.18km
  E) 36.61km
  Show Answer
  The correct answer is E.
• Question 322: The length, breadth and height of a cuboid are 8cm, 7$\frac{1}{2}$cm and 6$\frac{1}{2}$ cm respectively. What Is its volume in m³ (leave your answer in standard form)? Options:
  A) 3.9 × 10^-1m³
  B) 3.9 × 10^-2m³
  C) 3.9 × 10^-3m³
  D) 3.9 × 10^-4m³
  E) 3.9 × 10^-5m³
  Show Answer
  The correct answer is D.
• Question 323: If s = $\sqrt{(\frac{a^2}{x^2}-\frac{b^2}{x^2})}$what does y equal? Options:
  A) $\sqrt{[(b^2-a^2)]÷(s^2-x^2)}$
  B) $\sqrt{[(b^2-a^2)÷(s^2\times 2)]}$
  C) $\sqrt{[x^2-a^2-b^2]÷s}$
  D) $[x^2-a^2-b^2]÷s$
  E) $\sqrt{[(b^2\times 2)÷(s^2\times 2-a^2)]}$
  Show Answer
  The correct answer is E.
• Question 324: Mr Aborowa bought a car for N200,000.00 and later sold it for N170,000.00. What is the percentage loss? Options:
  A) 117.60%
  B) 117.60%
  C) 117.60%
  D) 17.65%
  E) 17.65%
  Show Answer
  The correct answer is E.
• Question 325:

  Find the 19th term of the A.P. $\frac{5}{6}$, $\frac{8}{6}$, $\frac{11}{6}$.................

  Options:
  A) 7$\frac{1}{2}$
  B) 9
  C) 9$\frac{1}{2}$
  D) 9$\frac{5}{6}$
  E) 10
  Show Answer
  The correct answer is D.
• Question 326: Simplify 27${}^{-\frac{1}{3}}$ $\times$ 64${}^{-\frac{1}{3}}$ $\times$ 4${}^{\frac{1}{3}}$ Options:
  A) 48
  B) 12
  C) $\frac{4}{3}$
  D) $\frac{1}{12}$
  E) $\frac{1}{48}$
  Show Answer
  The correct answer is D.
• Question 327: The bearing of a point Y from point x is 150°. What is the bearing of X from Y? Options:
  A) 330°
  B) 240°
  C) 150°
  D) 120°
  E) 30°
  Show Answer
  The correct answer is A.
• Question 328: If the mean of 3, 5, 8, k, 14 and 17 is 11, what is the value of k Options:
  A) 58
  B) 38
  C) 19
  D) 11
  E) 967
  Show Answer
  The correct answer is C.
• Question 329: From the kip of a storey-buliding, the angle of depression of a mango on a tree 20 m away from the base of the storey-building is 68°. if the mango is 4.5 m above the ground, what is the height of the storey-building to the nearest metre? Options:
  A) 55m
  B) 54m
  C) 50m
  D) 49m
  E) 45m
  Show Answer
  The correct answer is B.
• Question 330: The mean age of 12 boys involved survey is 19 years, 3 months. lf the-age of one of the boys is 22 years, what is the mean age of the other-boys? Options:
  A) 10.5 years
  B) 19.0 years
  C) 35.4 years
  D) 264.0 years
  E) 423.5 years
  Show Answer
  The correct answer is B.