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 161:

  

  In the diagram given PQ = 10cm, PS = 8cm and < PSR is 60 while < SRQ is a right angle. Find SR

  Options:
  A) 10 $\sqrt{3}$cm
  B) 10cm
  C) 45cm
  D) 14cm
  Show Answer
  The correct answer is D .
• Question 162: If 27^{x + 2} $÷$ 9^{x + 1} = 3^2x, find x Options:
  A) 3
  B) 4
  C) 5
  D) 6
  Show Answer
  The correct answer is B .
• Question 163: Find the area bounded by the curve y = 3x${}^2$ - 2x + 1, the coordinates x = 1 and x = 3 and the x-axis Options:
  A) 24
  B) 22
  C) 21
  D) 20
  Show Answer
  The correct answer is D .
• Question 164: Write the equation 2 log₂x - x log₂(1 + y) = 3 in a form not involving logarithms Options:
  A) 2^x(1 + y) = 3
  B) 2^x - x(1 + y) = 8
  C) x² = 8(1 + y)^x
  D) x² - x(1 + y) = 8
  E) x² - (1 + y)² = 8
  Show Answer
  The correct answer is C .
• Question 165: Find the eleventh term of the progression 4, 8, 16..... Options:
  A) 2¹³
  B) 2¹²
  C) 2¹¹
  D) 2¹⁰
  Show Answer
  The correct answer is B .
• Question 166:

  Four boys and ten girls can cut a field first 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 167: Find the equation of the straight line through (-2, 3) and perpendicular to 4x + 3y - 5 = 0 Options:
  A) 3x - 4y + 18 = 0
  B) 3x + 2y - 18 = 0
  C) 4x + 5y + 3 = 0
  D) 5x - 2y - 11 = 0
  Show Answer
  The correct answer is A .
• Question 168: The chances of three independent events X, Y, Z occurring are $\frac{1}{2}$, $\frac{2}{3}$, $\frac{1}{4}$ respectively. What are the chances of Y and Z only occurring? Options:
  A) $\frac{1}{8}$
  B) $\frac{1}{24}$
  C) $\frac{1}{12}$
  D) $\frac{1}{4}$
  Show Answer
  The correct answer is C .
• Question 169: The base of a pyramid is a square of side 8cm. If its vertex is directly above the centre, find the height, given that the edge is 4.3cm Options:
  A) 6cm
  B) 5cm
  C) 4cm
  D) 3cm
  Show Answer
  The correct answer is C .
• Question 170: Simplify $\frac{\sqrt{2}}{\sqrt{3}-\sqrt{2}}$ - $\frac{3-2}{\sqrt{3}+\sqrt{2}}$ Options:
  A) 2$\sqrt{2}-\sqrt{3}$
  B) 3($\sqrt{6}$ - 1)
  C) $\sqrt{6}$ - 3
  D) -$\frac{1}{2}$
  E) $\frac{-\sqrt{3}}{\sqrt{2}-\sqrt{2}}$
  Show Answer
  The correct answer is B .