Mathematics Exam Past Questions and Answers | JAMB, WAEC and NECO

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 1921:

  

  In the figure, O is the centre of the circle ABC, < CED = 30${}^{\circ }$, < EDA = 40${}^{\circ }$. What is the size of < ABC?

  Options:
  A) 70${}^{\circ }$
  B) 110${}^{\circ }$
  C) 130${}^{\circ }$
  D) 125${}^{\circ }$
  E) 145${}^{\circ }$
  Show Answer
  The correct answer is D .
• Question 1922:

  What is the loci of a distance 4cm from a given point P?

  Options:
  A) A straight line of length 4cm
  B) a circle of radius 4cm
  C) perpendicular to point P at 4cm
  D) a circle of diameter 4cm
  Show Answer
  The correct answer is B .
• Question 1923: Find ${\int }_0^1$ cos4 x dx Options:
  A) $\frac{3}{4}$ sin 4x + k
  B) -$\frac{1}{4}$ sin 4x + k
  C) -$\frac{3}{4}$ sin 4x + k
  D) $\frac{1}{4}$ sin 4x + k
  Show Answer
  The correct answer is D .
• Question 1924: Which of the following binary operations is cumulative in the set of integers? Options:
  A) a $\ast$ b = a + 2b
  B) a $\ast$ b = a + b - ab
  C) a $\ast$ b = a² + b
  D) a $\ast$ b = $\frac{a(b+1)}{2}$
  Show Answer
  The correct answer is C .
• Question 1925:

  If x + y = 90, simplify (sinx + siny)²−2sinxsiny

  Options:
  A) 1
  B) 0
  C) 2
  D) -1
  Show Answer
  The correct answer is A .
• Question 1926:

  

  PQRST is a regular pentagon and PQVU is a rectangle with U and V lying on TS and SR respectively as shown in the diagram. Calculate TUP

  Options:
  A) 18${}^{\circ }$
  B) 54${}^{\circ }$
  C) 90${}^{\circ }$
  D) 108${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 1927:

  A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probability of drawing two red balls.

  Options:
  A) $\frac{2}{3}$
  B) $\frac{1}{3}$
  C) $\frac{1}{4}$
  D) $\frac{1}{9}$
  Show Answer
  The correct answer is D .
• Question 1928: 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 1929: Three boys shared some oranges. The first received ¹/₃ of the oranges and the second received ²/₃ of the remaining. If the third boy received the remaining 12 oranges, how many oranges did they share Options:
  A) 60
  B) 54
  C) 48
  D) 42
  Show Answer
  The correct answer is B .
• Question 1930: Factorize 9p² - q² + 6qr - 9r² Options:
  A) (3p - 3q + r)(3p - q - 3r)
  B) (6p - 3q - 3r)(3p - q - 4r)
  C) (3p - q + 3r)(3p - q - 3r)
  D) (3q - p + 3r)(3q - p + 3r)
  Show Answer
  The correct answer is C .