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 1421: Find the total surface area of solid cone of radius 2$\sqrt{3}$cm and slanting side 4$\sqrt{3}$ Options:
  A) 8$\sqrt{3}\pi$cm²
  B) 24$\pi$cm²
  C) 15$\sqrt{3}\pi$cm²
  D) 36$\pi$cm²
  Show Answer
  The correct answer is D .
• Question 1422: The perpendicular bisector of a line XY is the locus of a point B. whose distance from Y is always twice its distance from X. C Options:
  A) whose distance from X is always twice its distance from Y
  B) whose distance from Y is always twice its distance from X.
  C) which moves on the line XY
  D) which is equidistant from the points X and y
  Show Answer
  The correct answer is D .
• Question 1423: Evaluate $\frac{6.3\times {10}^5}{81\times {10}^3}$ to 3 significant fiqures Options:
  A) 77.80
  B) 778.0
  C) 7.870
  D) 8.770
  E) 88.70
  Show Answer
  The correct answer is A .
• Question 1424:

  The third term of an A.P is 6 and the fifth term is 12. Find the sum of its first twelve terms

  Options:
  A) 201
  B) 144
  C) 198
  D) 72
  Show Answer
  The correct answer is C .
• Question 1425: If y = x sin x, find $\frac{\delta y}{\delta x}$ Options:
  A) sin x - cos x
  B) cos x - x sin x
  C) cos x + x sin x
  D) sin x + x cos x
  Show Answer
  The correct answer is D .
• Question 1426:

  $\frac{\frac{2}{3}÷\frac{4}{5}}{\frac{1}{4}+\frac{3}{5}-\frac{1}{3}}$

  Options:
  A) $\frac{31}{50}$
  B) $\frac{20}{31}$
  C) $\frac{31}{20}$
  D) $\frac{50}{31}$
  Show Answer
  The correct answer is D .
• Question 1427: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 1428: A cone was developed from a sector of a circle with radius10cm and an angle at the centre of 108°. What is the radius of the cone? Options:
  A) 9.0cm
  B) 8.5cm
  C) 7.2cm
  D) 4.3cm
  E) 3.0cm
  Show Answer
  The correct answer is E .
• Question 1429: Simplify $\frac{a-b}{a+b}$ - $\frac{a+b}{a-b}$ Options:
  A) $\frac{4ab}{a-b}$
  B) $\frac{-4ab}{a^2-b^2}$
  C) $\frac{-4ab}{a^{-2}-b}$
  D) $\frac{4ab}{a^{-2}-b^{-2}}$
  Show Answer
  The correct answer is B .
• Question 1430:

  

  The figure shows circles of radii 3cm and 2cm with centres at X and Y respectively. The circles have a transverse common tangent of length 25cm. Calculate XY.

  Options:
  A) $\sqrt{630}$cm
  B) $\sqrt{626}$cm
  C) $\sqrt{615}$cm
  D) $\sqrt{600}$cm
  Show Answer
  The correct answer is B .