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 321: Differentiate $\frac{x}{cosx}$ with respect to x Options:
  A) 1 + x sec x tan x
  B) 1 + sec² x
  C) cos x + x tan x
  D) x sec x tan x + secx
  Show Answer
  The correct answer is D .
• Question 322: Rationalize the expression $\frac{1}{\sqrt{2}+\sqrt{5}}$ Options:
  A) $\frac{1}{3}$($\sqrt{5}-\sqrt{2}$
  B) $\frac{\sqrt{2}}{3}$ + $\frac{\sqrt{5}}{5}$
  C) $\sqrt{2}-\sqrt{5}$
  D) 5($\sqrt{2}-\sqrt{5}$
  E) $\frac{1}{3}$($\sqrt{2}-\sqrt{5}$
  Show Answer
  The correct answer is A .
• Question 323:

  Mr Adu spends his annual salary on food(f), rent(r), car maintenance, gifts(g), savings(s) and some miscellaneous (m) as indicate in the table below:

  F	R	C	G	S	M
  28%	15%	20%	14%	10%	13%

  If the above information is represented on a pie chart. What angle represents his spending on food?

  Options:
  A) 108.5
  B) 100.8
  C) 98.8
  D) 120.5
  Show Answer
  The correct answer is B .
• Question 324:

  

  In the diagram, QTR is a straight line and < PQT = 30${}^{\circ }$. find the sin of < PTR

  Options:
  A) $\frac{8}{15}$
  B) $\frac{2}{3}$
  C) $\frac{3}{4}$
  D) $\frac{15}{16}$
  Show Answer
  The correct answer is C .
• Question 325:

  

  Find the area of the trapezium above.

  Options:
  A) 91 cm²
  B) 78 cm²
  C) 60 cm²
  D) 19 cm²
  Show Answer
  The correct answer is C .
• Question 326: If the sum of the 8th and 9th terms of an arithmetic progression is 72 and the 4th term is -6, find the common difference Options:
  A) 4
  B) 8
  C) 6$\frac{2}{3}$
  D) 9$\frac{1}{3}$
  Show Answer
  The correct answer is D .
• Question 327:

  

  In the figure, if XZ is 10cm, calculate RY in cm.

  Options:
  A) 10
  B) 10(1 - $\frac{1}{\sqrt{3}}$)
  C) 10(1 - $\frac{1}{\sqrt{2}}$)
  D) 10[1 - $\sqrt{3}$]
  Show Answer
  The correct answer is B .
• Question 328:

  

  PQ and PR are tangents from P to a circle centre O as shown in the figure. If QRP = 34${}^{\circ }$, find the angle marked x

  Options:
  A) 34${}^{\circ }$
  B) 56${}^{\circ }$
  C) 68${}^{\circ }$
  D) 112${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 329: Determine the value of x for which (x² - 1) > 0
  Options:
  A) x < -1 or x > 1
  B) -1 < x < 1
  C) x > 0
  D) x < -1
  Show Answer
  The correct answer is A .
• Question 330:

  No. of Days	1	2	3	4	5	6
  No. of students	20	2x	60	40	x	50

  The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for t least four days in the term

  Options:
  A) 180
  B) 120
  C) 110
  D) 40
  Show Answer
  The correct answer is B .