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 1101: If 125_x = 20₁₀ find x Options:
  A) 2
  B) 3
  C) 4
  D) 5
  Show Answer
  The correct answer is B .
• Question 1102: Solve for r in the following equation $\frac{1}{r-1}$ + $\frac{2}{r+1}$ = $\frac{3}{r}$ Options:
  A) 3
  B) 4
  C) 5
  D) 6
  Show Answer
  The correct answer is A .
• Question 1103: The solution of the quadratic inequality (x³ + x - 12) ≥ 0 is Options:
  A) x ≥ -3 or x ≤ 4
  B) x ≥ 3 or x ≥ -4
  C) x ≤ 3 or x v -4
  D) x ≥ 3 or x ≤ -4
  Show Answer
  The correct answer is B .
• Question 1104: Four boys and ten girls can cut a field in 5 hours if the boys work at $\frac{5}{4}$ the rate at which the girls work. How many boys will be needed to cut the field in 3 hours? Options:
  A) 180
  B) 60
  C) 25
  D) 20
  Show Answer
  The correct answer is D .
• Question 1105: Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1. Options:
  A) 12π
  B) 4π
  C) 24π
  D) 8π
  Show Answer
  The correct answer is B .
• Question 1106:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A .
• Question 1107: 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 1108: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 1109: The quantity y is partly constant and partly varies inversely as the square of x. With P and Q as constants, a possible relationship between x and y is Options:
  A) y = Q + $\frac{P}{x^2}$
  B) y = Q + px
  C) y = $\frac{PQ}{x^2}$
  D) y = Q - $\frac{P}{x^2}$
  Show Answer
  The correct answer is A .
• Question 1110:

  Given that sin (5$x$ − 28)${}^o$ = cos(3$x$ − 50)${}^o$, O$x$ < 90${}^o$

  Find the value of $x$

  Options:
  A) 14${}^o$
  B) 21${}^o$
  C) 32${}^o$
  D) 39${}^o$
  Show Answer
  The correct answer is B .