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 291: Two similar cylindrical cans have heights of 7cm and 21cm, if the smaller holds 250g of sugar, how many kg of sugar will the larger one hold? Options:
  A) 0.75
  B) 1.5
  C) 2.25
  D) 3.5
  E) 6.75
  Show Answer
  The correct answer is E.
• Question 292: Given that the universal set U={14,15,16,17,18,19,20}, J {16,19,20) and K= (14,15,18), find (J' ∩ K')1. Options:
  A) {17}
  B) {16, 17, 19, 20}
  C) {1, 4, 15, 17, 18}
  D) {14, 15, 16, 18, 19, 20}
  E) {14, 15, 16, 17, 18, 19, 20}
  Show Answer
  The correct answer is D.
• Question 293: Evaluate 1.25 × 102 × 0.125 × 103 × 12.5 × 10^-4 leaving your answer in standard form Options:
  A) 1.995 × 10³
  B) 1.95 × 10²
  C) 1.95 × 10¹
  D) 1.95 × 10^-2
  E) 1.95 × 10^-3
  Show Answer
  The correct answer is C.
• Question 294: What is the volume of a cube if the diagonal of one of the sides is $\sqrt{50}$cm? Options:
  A) 7.07cm${}^3$
  B) 50.0cm${}^3$
  C) 125.0cm${}^3$
  D) 353.4cm${}^3$
  E) 625.0cm${}^3$
  Show Answer
  The correct answer is C.
• Question 295: A cone was developed from a sector of a circle with radius10cm and an angle at the centre of 108°. What is the radius of the cone? Options:
  A) 9.0cm
  B) 8.5cm
  C) 7.2cm
  D) 4.3cm
  E) 3.0cm
  Show Answer
  The correct answer is E.
• Question 296: If , sT = $\sqrt{\frac{[(a+T)T]}{a}}$ what does T equal? Options:
  A) T = (a²s² – 1)
  B) T = (a²s²– 1) ÷ a
  C) T = a ÷ (a² - s²)
  D) T = a ÷ (a²s² – 1)
  E) T = (as – 1)²
  Show Answer
  The correct answer is D.
• Question 297: What is the total surface area of a cuboid whose dimensions are 12cm × 8cm × 3cm? Options:
  A) 312cm${}^2$
  B) 96cm${}^2$
  C) 36cm${}^2$
  D) 24cm${}^2$
  E) 12cm${}^2$
  Show Answer
  The correct answer is A.
• Question 298: If sin 30° = 0.5, what is the cosine of its complement? Options:
  A) -0.866
  B) -0.5
  C) 0.0.5
  D) 0.866
  E) 1
  Show Answer
  The correct answer is C.
• Question 299: A petrol attendant recorded the number of vehicles that bought petrol from him for -3 hours and recorded 12 cars and 27 buses. What is the probability that the next vehicle will be a bus? Options:
  A) $\frac{4}{39}$
  B) $\frac{4}{13}$
  C) $\frac{5}{13}$
  D) $\frac{6}{13}$
  E) $\frac{9}{13}$
  Show Answer
  The correct answer is E.
• Question 300: Two parallel chords of a circle are respectively 46cm and 40cm long. If the radius of the circle is 25cm and the centre of the circle lies between the two chords, what is the distance between the chords? Options:
  A) 7cm
  B) 15cm
  C) 22cm
  D) 26cm
  E) 30cm
  Show Answer
  The correct answer is C.