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 251: Make F the subject of the formula t = $\sqrt{\frac{v}{\frac{1}{f}+\frac{1}{g}}}$ Options:
  A) $\frac{gv-t^2}{g{t}^2}$
  B) $\frac{g{t}^2}{gv-t^2}$
  C) $\frac{v}{\frac{1}{t^2}-\frac{1}{g}}$
  D) $\frac{gv}{t^2-g}$
  Show Answer
  The correct answer is B .
• Question 252:

  Which of the following values of the variable x, (a)x = 0, (b)x = -3, (c)x = 9, satisfy the inequalities 0 < $\frac{x+3}{x-1}$ < 2?

  Options:
  A) (a), (b), (c)
  B) (c)
  C) None of the choices
  D) All of the above
  Show Answer
  The correct answer is C .
• Question 253:

  The slope of the tangent to the curve y = 3x² - 2x + 5 at the point (1, 6) is

  Options:
  A) 4
  B) 1
  C) 6
  D) 5
  Show Answer
  The correct answer is A .
• Question 254:

  

  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 255: Solve the inequality x² + 2x > 15.
  Options:
  A) x < -3 or x > 5
  B) -5 < x < 3
  C) x < 3 or x > 5
  D) x > 3 or x < -5
  Show Answer
  The correct answer is D .
• Question 256: The vectors a and b are given in terms of two perpendicular units vectors i and j on a plane by a = 2i - 3j, b = -i + 2j. Find the magnitude of the vector a + 3b Options:
  A) 2
  B) 4
  C) $\sqrt{10}$
  D) 35
  E) 2.2
  Show Answer
  The correct answer is C .
• Question 257: Find the remainder when 2x³ - 11x² + 8x - 1 is divided by x + 3 Options:
  A) -871
  B) -781
  C) -187
  D) -178
  Show Answer
  The correct answer is D .
• Question 258: A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is Options:
  A) 36$\pi$cm²
  B) 54$\sqrt{3}$cm²
  C) $\sqrt{3}$cm²
  D) $\frac{1}{x-1}$
  Show Answer
  The correct answer is B .
• Question 259:

  If y = x² - x - 12, find the range of values of x for which y $\ge$ 0,

  Options:
  A) -3 $<$ x $\le$ 4
  B) x $<$ -3 or x $>$ 4
  C) -3 $\le$ x $\le$ 4
  D) x $\le$ -3 or x $\ge$ 4
  Show Answer
  The correct answer is C .
• Question 260: Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + ..... Options:
  A) $\frac{5}{8}$
  B) $\frac{5}{7}$
  C) $\frac{5}{11}$
  D) $\frac{5}{9}$
  Show Answer
  The correct answer is D .