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 931: The angle of elevation of the top of a vertical tower from a point A on the ground is 60${}^{\circ }$. From a point B, 2 units of distance further away from the foot of the tower, the angle of elevation of the tower is 45${}^{\circ }$. Find the distance of A from the foot of the tower Options:
  A) 3 + $\sqrt{3}$
  B) 5 + $\sqrt{3}$
  C) 3 - $\sqrt{3}$
  D) 1
  E) $\sqrt{3}$ - 1
  Show Answer
  The correct answer is D .
• Question 932: If y = (1 + x)², find $\frac{dy}{dx}$ Options:
  A) x - 1
  B) 2 + 2x
  C) 1 + 2x
  D) 2x - 1
  Show Answer
  The correct answer is B .
• Question 933:

  

  An unbiased die is rolled 100 times and the outcome is tabulated above.

  What is the probability of obtaining a 5?

  Options:
  A) 1/5
  B) 1/2
  C) 1/6
  D) 1/4
  Show Answer
  The correct answer is A .
• Question 934: Evaluate the inequality $\frac{x}{2}+\frac{3}{4}\le \frac{5x}{6}-\frac{7}{12}$ Options:
  A) $x\ge 4$
  B) $x\le 3$
  C) $x\ge -3$
  D) $x\le -4$
  Show Answer
  The correct answer is A .
• Question 935:

  

  Find x in the diagram below.

  Options:
  A) 3$\sqrt{3}$
  B) $\frac{3(\sqrt{3}-1)}{\sqrt{3}+1}$
  C) $\frac{(\sqrt{3}-1)}{\sqrt{3}+1}$
  D) $\frac{3-1}{\sqrt{3}+1}$
  Show Answer
  The correct answer is B .
• Question 936: If the four interior angles of a quadrilateral are (p + 10)${}^{\circ }$, (p - 30)${}^{\circ }$, (2p - 450${}^{\circ }$, and (p + 15)${}^{\circ }$, then p is Options:
  A) 125${}^{\circ }$
  B) 82${}^{\circ }$
  C) 135${}^{\circ }$
  D) 105${}^{\circ }$
  E) 60${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 937:

  If $6x^3+2x^2-5x+1$ divides $x^2-x-1$, find the remainder.

  Options:
  A) 9x + 9
  B) 2x + 6
  C) 6x + 8
  D) 5x - 3
  Show Answer
  The correct answer is A .
• Question 938:

  

  In the figure, PQST is a parallelogram and TSR is a straight line. If the area of $△$QRS is 20cm², find the area of the trapezium PQRT.

  Options:
  A) 35cm²
  B) 65cm²
  C) 70cm²
  D) 140cm²
  Show Answer
  The correct answer is C .
• Question 939: Simplify $\frac{1}{5x+5}$ + $\frac{1}{7x+7}$ Options:
  A) $\frac{12}{35x+1}$
  B) $\frac{1}{35(x+1)}$
  C) $\frac{12x}{35(x+7)}$
  D) $\frac{12}{35x+35}$
  Show Answer
  The correct answer is A .
• Question 940: The chances of three independent events X, Y, Z occurring are $\frac{1}{2}$, $\frac{2}{3}$, $\frac{1}{4}$ respectively. What are the chances of Y and Z only occurring? Options:
  A) $\frac{1}{8}$
  B) $\frac{1}{24}$
  C) $\frac{1}{12}$
  D) $\frac{1}{4}$
  Show Answer
  The correct answer is C .