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 301: The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R? Options:
  A) 60m
  B) 60$\sqrt{3}$m
  C) 80$\sqrt{3}$m
  D) 120$\sqrt{3}$m
  E) 240m
  Show Answer
  The correct answer is C.
• Question 302: If $\frac{t}{1}$ = $\sqrt{(\frac{4{\pi }^2}{g}})$, what is the value of g when I = 4.5; t = 5 secs Options:
  A) 3.20 ms²
  B) 11.31 ms²
  C) 32.00 ms²
  D) 56.57 ms²
  E) 160.00 ms²
  Show Answer
  The correct answer is C.
• Question 303: The probability that a student will pass a mathematics test is ⅗. If 3 students are chosen at random, what is the probability that at least 2 of them will pass the test? Options:
  A) $\frac{27}{125}$
  B) $\frac{9}{25}$
  C) $\frac{72}{125}$
  D) $\frac{76}{125}$
  E) $\frac{81}{125}$
  Show Answer
  The correct answer is E.
• Question 304: What is the total surface area of a cylinder with radius 2cm and height 1.5cm, correct to 2 significant figures? Options:
  A) 440cm${}^2$
  B) 220cm${}^2$
  C) 88cm${}^2$
  D) 44cm${}^2$
  E) 22cm${}^2$
  Show Answer
  The correct answer is D.
• Question 305:

  A wire was shaped to form a square of area 81cm². An equilateral triangle was formed by the same wire,What is the length of a side of the triangle formed?

  Options:
  A) 3cm
  B) 6cm
  C) 9cm
  D) 12cm
  E) 27cm
  Show Answer
  The correct answer is D.
• Question 306: One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls, if one ball is drawn from each bag, what is the probability that both are white? Options:
  A) $\frac{2}{3}$
  B) $\frac{3}{8}$
  C) $\frac{7}{24}$
  D) $\frac{1}{4}$
  E) $\frac{1}{24}$
  Show Answer
  The correct answer is D.
• Question 307: A quadratic equation with roots -1$\frac{1}{2}$ and $\frac{1}{4}$ is Options:
  A) x² + 3x + 4 = 0
  B) 8x² + 10x + 3 = 0
  C) 8x² +12x – 3 = 0
  D) 8x² + 10x-3.= 0
  E) 8x² + 12x + 3 = 0
  Show Answer
  The correct answer is D.
• Question 308: What are the factors of 2x² - xy - 3y² ? Options:
  A) (2x + 3y)(x + y)²
  B) (2x + 3y)(x + y)
  C) (2x + 3y)(x - y)
  D) (2x 3y)(x + y)
  E) (2x - 3y)(x - y)
  Show Answer
  The correct answer is D.
• Question 309: Three sets of rice x, y and z are sold for N15.00, N35.00 and N60.00 respectively per kg. It they are mixed in the ratio of 1: 3 : 2, what is the cast per kg of the mixture? Options:
  A) N45.00
  B) N42.50
  C) N40.00
  D) N35.50
  E) N25.80
  Show Answer
  The correct answer is C.
• Question 310: When a shirt is sold for N12000.00, a loss of 20% is recorded. How much should it be sold for to gain 20%? Options:
  A) N4800.00
  B) N400
  C) N1800.00
  D) N1500.00
  E) N960.00
  Show Answer
  The correct answer is C.