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 711: A man and hid wife went to buy an article costing ₦400. The woman had 10% of the cost and the man 40% of the remainder. How much did they have altogether? Options:
  A) ₦216
  B) ₦200
  C) ₦184
  D) ₦144
  E) ₦100
  Show Answer
  The correct answer is C .
• Question 712: The sum of the first three terms of a geometric progression is half its sum to infinity. Find the positive common ratio of the progression. Options:
  A) $\frac{1}{4}$
  B) $\sqrt{\frac{3}{2}}$
  C) $\frac{1}{\sqrt{3}}$
  D) $\frac{1}{\sqrt{2}}$
  Show Answer
  The correct answer is B .
• Question 713: Three consecutive positive integers k, l and m are such that l² = 3(k+m). Find the value of m Options:
  A) 4
  B) 5
  C) 6
  D) 7
  Show Answer
  The correct answer is A .
• Question 714: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 715: W is directly proportional to U. If w = 5 when U = 3, find when W = ²/₇ Options:
  A) ⁶/₃₅
  B) ¹⁰/₂₁
  C) ²¹/₁₀
  D) ³⁵/₆
  Show Answer
  The correct answer is A .
• Question 716: P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R. Options:
  A) $P=\frac{Q}{12R}$
  B) $P=\frac{12Q}{R}$
  C) $P=12QR$
  D) $P=\frac{12}{QR}$
  Show Answer
  The correct answer is B .
• Question 717: Find the remainder when 2x³ - 11x² + 8x - 1 is divided by x + 3 Options:
  A) -871
  B) -781
  C) -187
  D) -178
  Show Answer
  The correct answer is D .
• Question 718:

  If the binary operation $\ast$ is defined by m $\ast$ n = mn + m + n for any real number m and n, find the identity of the elements under this operation

  Options:
  A) e = 1
  B) e = -1
  C) e = -2
  D) e = 0
  Show Answer
  The correct answer is D .
• Question 719: If tan θ = 4/3, calculate sin²θ - cos²θ. Options:
  A) 16/25
  B) 24/25
  C) 7/25
  D) 9/25
  Show Answer
  The correct answer is C .
• Question 720: A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime Options:
  A) $\frac{2}{11}$
  B) $\frac{5}{11}$
  C) $\frac{6}{11}$
  D) $\frac{8}{11}$
  Show Answer
  The correct answer is A .