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 231: Simplify $\frac{1}{p}$ - $\frac{1}{q}$ + $\frac{p}{q}$ - $\frac{q}{p}$ Options:
  A) $\frac{1}{p-q}$
  B) $\frac{-1}{p+q}$
  C) $\frac{1}{pq}$
  D) $\frac{1}{pq(p-q)}$
  Show Answer
  The correct answer is B .
• Question 232: The volume of a cone (s) of height 6cm and base radius 5cm is Options:
  A) 157cm³
  B) 155cm³
  C) 175cm³
  D) 145cm³
  Show Answer
  The correct answer is A .
• Question 233: Evaluate 5^-3log₅2 x 2^2log₂3 Options:
  A) 8
  B) 1¹/₈
  C) ²/₅
  D) ¹/₈
  Show Answer
  The correct answer is B .
• Question 234:

  A factory worker earns ₦50,000 per month out of which he spends 15% on his children's education, ₦13,600 on Food, 3% on electricity and uses the rest for his personal purpose. How much does he have left?

  Options:
  A) N21,850
  B) N18,780
  C) N27,400
  D) N32,500
  Show Answer
  The correct answer is C .
• Question 235: Suppose x varies inversely as y, y varies directly as the square of t and x = 1, when 1 = 3. Find x when t = $\frac{1}{3}$ Options:
  A) 81
  B) 27
  C) $\frac{1}{9}$
  D) $\frac{1}{27}$
  E) $\frac{1}{81}$
  Show Answer
  The correct answer is E .
• Question 236: if x : y = 5 : 12 and z = 52cm, find the perimeter of the triangle Options:
  A) 68cm
  B) 84cm
  C) 100cm
  D) 120cm
  Show Answer
  The correct answer is D .
• Question 237: P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius. Options:
  A) 6.5 units
  B) 13.0 units
  C) 3.5 units
  D) 7.0 units
  Show Answer
  The correct answer is A .
• Question 238: 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 239: Find the value of sin 45${}^{\circ }$ - cos 30${}^{\circ }$ Options:
  A) $\frac{2+\sqrt{3}}{4}$
  B) $\frac{\sqrt{2}+\sqrt{3}}{4}$
  C) $\frac{\sqrt{2}+\sqrt{3}}{2}$
  D) $\frac{\sqrt{2}-\sqrt{3}}{2}$
  Show Answer
  The correct answer is D .
• Question 240:

  A solid hemisphere has a radius of 7 cm. Find the total surface area.

  Options:
  A) 400 cm²
  B) 462 cm²
  C) 66 cm²
  D) 308 cm²
  Show Answer
  The correct answer is B .