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 31: If $\frac{1}{p}$ = $\frac{a^2+2ab+b^2}{a-b}$ and $\frac{l}{q}$ = $\frac{a+b}{a^2-2ab+b^2}$ Find $\frac{p}{q}$ Options:
  A) $\frac{a+b}{a-b}$
  B) $\frac{1}{a^2-b^2}$
  C) $\frac{a-b}{a+b}$
  D) a² - b²
  Show Answer
  The correct answer is B .
• Question 32:
  

  Find the volume of the composite solid above.

  Options:
  A) 2048 cm${}^3$
  B) 2568 cm${}^3$
  C) 2672 cm${}^3$
  D) 1320 cm${}^3$
  Show Answer
  The correct answer is B .
• Question 33: Simplify $\frac{x-7}{x^2-9}$ x $\frac{x^2-3x}{x^2-49}$ Options:
  A) $\frac{x}{(x-3)(x-7)}$
  B) $\frac{x}{(x+3)(x-7)}$
  C) $\frac{x}{(x+3)(x+7)}$
  D) $\frac{x}{(x-3)(x+7)}$
  Show Answer
  The correct answer is C .
• Question 34: Find the square root of 170 - 20$\sqrt{30}$ Options:
  A) 2 $\sqrt{10}$ - 5$\sqrt{3}$
  B) 2 $\sqrt{5}$ - 5$\sqrt{6}$
  C) 5 $\sqrt{10}$ - 2$\sqrt{3}$
  D) 3 $\sqrt{5}$ - 8$\sqrt{6}$
  Show Answer
  The correct answer is B .
• Question 35: If a = 1, b = 3, solve for x in the equation $\frac{a}{a-x}$ = $\frac{b}{x-b}$ Options:
  A) $\frac{4}{3}$
  B) $\frac{2}{3}$
  C) $\frac{3}{2}$
  D) $\frac{3}{4}$
  Show Answer
  The correct answer is C .
• Question 36: Find ${\int }_0^1$ cos4 x dx Options:
  A) $\frac{3}{4}$ sin 4x + k
  B) -$\frac{1}{4}$ sin 4x + k
  C) -$\frac{3}{4}$ sin 4x + k
  D) $\frac{1}{4}$ sin 4x + k
  Show Answer
  The correct answer is D .
• Question 37:

  

  In the figure, PQ is a parallel to ST and QRS = 40${}^{\circ }$. Find the value of x.

  Options:
  A) 55${}^{\circ }$
  B) 60${}^{\circ }$
  C) 65${}^{\circ }$
  D) 75${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 38: Make Q the subject of formula if p = $\frac{M}{5}$(X + Q) + 1 Options:
  A) $\frac{5P-MX+5}{M}$
  B) $\frac{5P-MX-5}{M}$
  C) $\frac{5P+MX+5}{M}$
  D) $\frac{5P+MX-5}{M}$
  Show Answer
  The correct answer is B .
• Question 39:

  

  In the figure, the chords XY and ZW are produced to meet at T such that YT = WT, ZYW = 40${}^{\circ }$ and YTW = 30${}^{\circ }$. What is YXW?

  Options:
  A) 50${}^{\circ }$
  B) 75${}^{\circ }$
  C) 35${}^{\circ }$
  D) 115${}^{\circ }$
  E) 30${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 40: If a binary operation * is defined by x * y = x + 2y, find 2 * (3 * 4) Options:
  A) 24
  B) 16
  C) 14
  D) 26
  Show Answer
  The correct answer is A .