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 61: A sector of a circle is bounded by two radii 7cm long and an arc length 6cm. Find the area of the sector. Options:
  A) 42cm²
  B) 3cm²
  C) 21cm²
  D) 24cm²
  E) 12cm²
  Show Answer
  The correct answer is C .
• Question 62:

  

  Use the graph of the curve y = f(x)to solve the inequality f(x) $\le$ 0

  Options:
  A) -1 $\ge$ x $\ge$ 1, x $\ge$ 2
  B) x $\le$ -1, 1 $\ge$ x $\ge$ 2
  C) x $\ge$ -1, 1 $\ge$ x $\ge$ 2
  D) x $\ge$ 2, -1 $\ge$ x $\ge$ 1
  Show Answer
  The correct answer is B .
• Question 63: If two fair coins are tossed, what is the probability of getting at least one head? Options:
  A) $\frac{1}{4}$
  B) $\frac{1}{2}$
  C) 1
  D) $\frac{43}{78}$
  E) $\frac{3}{4}$
  Show Answer
  The correct answer is E .
• Question 64: A ship H leaves a port P and sails 30 km due south. Then it sails 50km due west. What is the bearing of H from P Options:
  A) 20^o 34'
  B) 243^o 26'
  C) 116^o 34'
  D) 63^o 26'
  E) 240^o 56'
  Show Answer
  The correct answer is B .
• Question 65: Solve the simultaneous equations 2x - 3y + 10 = 10x - 6y = 5 Options:
  A) x = 2$\frac{1}{2}$, y = 3$\frac{1}{2}$
  B) x = $\frac{1}{2}$, y = $\frac{3}{2}$
  C) x = 2$\frac{1}{4}$, y = 3$\frac{1}{2}$
  D) x = 2$\frac{1}{3}$, y = 3$\frac{1}{2}$
  E) x = 2$\frac{1}{3}$, y = 2$\frac{1}{2}$
  Show Answer
  The correct answer is A .
• Question 66: What is the mean of the data t, 2t - 1, t - 2, 2t - 1, 4t and 2t + 2? Options:
  A) 2t
  B) 2t - 1
  C) $\frac{2}{3}$t + 1
  D) 2t - $\frac{1}{3}$
  Show Answer
  The correct answer is D .
• Question 67: The ninary operation * is defined on the set of integers p and q by p*q = pq + p + q. Find 2 * (3 * 4). Options:
  A) 59
  B) 19
  C) 67
  D) 38
  Show Answer
  The correct answer is A .
• Question 68: In a class of 120 students, 18 of them scored an A grade in mathematics. If the section representing the A grade students on a pie chart has angle Z^o at the centre of the circle, what is Z? Options:
  A) 15
  B) 27
  C) 50
  D) 52
  E) 54
  Show Answer
  The correct answer is E .
• Question 69: if 12 = x, find x where e = 12 Options:
  A) 20
  B) 15
  C) 14
  D) 12
  Show Answer
  The correct answer is A .
• Question 70: What is the nth term of the progression 27, 9, 3,......? Options:
  A) 27$\frac{1}{3}$ ^{n - 1}
  B) 3^{n + 2}
  C) 27 + 18(n - 1)
  D) 27 + 6(n - 1)
  Show Answer
  The correct answer is A .