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 41: If the volume of a hemisphere is increasing at a steady rate of 18π m/s, at what rate is its radius changing when its is 6m? Options:
  A) 2.30m/s
  B) 2.00 m/s
  C) 0.25 m/s
  D) 0.20 m/s
  Show Answer
  The correct answer is C .
• Question 42: p varies directly as the square of q and inversely as r. If p = 36, when q = 36, when q = 3 and r = 4, find p when q = 5 and r = 2 Options:
  A) 72
  B) 100
  C) 90
  D) 200
  E) 125
  Show Answer
  The correct answer is D .
• Question 43: Make x the subject of the equation
  s = 2 + $\frac{t}{5}$(x + ⅗y) Options:
  A) x = 5[(s − 2) ÷ t] + 3yt
  B) x = 25[(s − 2) ÷ t] − 3ty
  C) x = [1 ÷ (s − 2)3ty]
  D) x = [5(s − 2) 2 ÷ 3ty] × t
  Show Answer
  The correct answer is B .
• Question 44: If the function f is defined by f(x + 2) = 2x² + 7x = 5, find f(-1) Options:
  A) -10
  B) -8
  C) 4
  D) 10
  Show Answer
  The correct answer is B .
• Question 45: Given that x² + y² + z² = 194, calculate z if x = 7 and $\sqrt{y}$ = 3 Options:
  A) $\sqrt{10}$
  B) 8
  C) 12.2
  D) 13.4
  Show Answer
  The correct answer is B .
• Question 46: PQR is a triangle in which PQ = 10cm and QPR = 60^oS is a point equidistant from P and Q. Also S is a point equidistant from PQ and PR. If U is the foot of the perpendicular from S on PR, find the length SU in cm to one decimal place Options:
  A) 2.7
  B) 4.33
  C) 3.1
  D) 3.3
  Show Answer
  The correct answer is B .
• Question 47: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 48: Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23. Options:
  A) 11.2
  B) 10
  C) 10.2
  D) 11.3
  Show Answer
  The correct answer is C .
• Question 49: Evaluate ${\int }_1^3(X^2-1)dx$ Options:
  A) $\frac{2}{3}$
  B) $-\frac{2}{3}$
  C) $-6\frac{2}{3}$
  D) $6\frac{2}{3}$
  Show Answer
  The correct answer is D .
• Question 50: Determine the third term of a geometrical progression whose first and second term are 2 and 14 respectively Options:
  A) 1458
  B) 1485
  C) 1345
  D) 1258
  Show Answer
  The correct answer is A .