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 1401: The sine, cosine and tangent of 210^o are respectively Options:
  A) $\frac{1}{2}$, $\frac{\sqrt{3}}{2}$, $\frac{\sqrt{3}}{2}$
  B) $\frac{1}{2}$, $\frac{\sqrt{3}}{2}$, $\frac{\sqrt{3}}{3}$
  C) $\frac{1}{2}$, $\frac{\sqrt{3}}{2}$, $\frac{\sqrt{3}}{2}$
  D) $\frac{-1}{2}$, $\frac{\sqrt{-3}}{2}$, $\frac{\sqrt{3}}{3}$
  Show Answer
  The correct answer is D .
• Question 1402: The area of a square is 444 sqcm. Find the length of the diagonal. Options:
  A) 12$\sqrt{2}$ cm
  B) 11$\sqrt{3}$cm
  C) 13 cm
  D) 12 cm
  Show Answer
  The correct answer is A .
• Question 1403:

  

  In the diagram, angle QPR = 90${}^{\circ }$, angle PSR = 90${}^{\circ }$ and PR = 5 units. Find the length of QS.

  Options:
  A) 5 tan 25${}^{\circ }$ sin 65${}^{\circ }$
  B) 5 cos 25${}^{\circ }$ sin 65${}^{\circ }$
  C) 5 tan 25${}^{\circ }$ cos 65${}^{\circ }$
  D) cos 25${}^{\circ }$ cos 65${}^{\circ }$
  E) 5 cosec 25${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 1404: Simplify ($\frac{1}{x^{-1}}+\frac{1}{y^{-1}}$)^-1 Options:
  A) $\frac{x}{y}$
  B) xy
  C) $\frac{x}{y}$
  D) (xy)^-1
  Show Answer
  The correct answer is C .
• Question 1405:

  

  In the figure below, /MX/ = 8cm, /XN/ = 12cm, /NZ/ = 4cm and ∠ XMN = ∠ XZY. Calculate /YM/

  Options:
  A) 32 cm
  B) 24 cm
  C) 16 cm
  D) 12 cm
  Show Answer
  The correct answer is C .
• Question 1406: A chord 20cm long subtends an angle of 60° at the circumference of a circle, what is the diameter of the circle the nearest cm? Options:
  A) 12cm
  B) 20cm
  C) 23cm
  D) 60cm
  E) 80cm
  Show Answer
  The correct answer is C .
• Question 1407: The parallel sides of a trapezium are 13cm and 7cm. If the area of the trapezium is 50cm2, find the perpendicular distance between the parallel sides. Options:
  A) 5cm
  B) 6cm
  C) 7cm
  D) 10cm
  E) 12cm
  Show Answer
  The correct answer is A .
• Question 1408:

  A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pipe is 10cm.Find the volume of metal used in making 3m of the pipe.

  Options:
  A) 153$\pi$cm³
  B) 207$\pi$cm³
  C) 15 300$\pi$cm³
  D) 20 700$\pi$cm³
  Show Answer
  The correct answer is D .
• Question 1409:

  Each of the base angles of an isosceles triangle is 59^o, and the vertices of the triangle lie on a circle. Determine the angle at which the base of the triangle subtends at the centre of the circle.

  Options:
  A) 124^o
  B) 16^o
  C) 64^o
  D) 58^o
  Show Answer
  The correct answer is A .
• Question 1410: If the maximum value of $y=1+hx-3x^2$ is $13$, find $h$. Options:
  A) 13
  B) 12
  C) 11
  D) 10
  E) 14
  Show Answer
  The correct answer is B .