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 2711: If it is given that 5^{x + 1} + 5^x = 150, then the value of x is equal to Options:
  A) 3
  B) 4
  C) 1
  D) 2
  E) $\frac{1}{2}$
  Show Answer
  The correct answer is D .
• Question 2712:

  Determine the area of the region bounded by y = $2x^2$ + 10 andY= $4x+16$.

  Options:
  A) 18
  B) $\frac{-10}{3}$
  C) $\frac{44}{3}$
  D) $\frac{64}{3}$
  Show Answer
  The correct answer is D .
• Question 2713: Find x if (x - 2)² = 1$\frac{7}{9}$ Options:
  A) $\frac{2}{3}$ or $\frac{2}{7}$
  B) 3$\frac{1}{3}$ or $\frac{2}{3}$
  C) 3$\frac{7}{9}$ or $\frac{2}{7}$
  D) 3$\frac{1}{3}$ or $\frac{7}{9}$
  E) $\frac{3}{7}$ or $\frac{2}{9}$
  Show Answer
  The correct answer is B .
• Question 2714: If e^x = 1 + $\frac{x}{2}$ + $\frac{x^2}{1.2}$ + $\frac{x^3}{1.2.3}$ + .....Find $\frac{1}{e^x}$ Options:
  A) 1 - $\frac{x}{2}$ + $\frac{x^2}{{1.2}^3}$ + $\frac{x^3}{2^4.3}$ + .........
  B) 1 - $\frac{x}{2}$ + $\frac{x^2}{{1.2}^3}$ + $\frac{x^4}{2.4.3}$ + ..
  C) 1 + $\frac{x}{2}$ + $\frac{x^2}{1.2}$ + $\frac{x^3}{1.2.3}$ + $\frac{x^4}{1.23.4}$ + .........
  D) 1 - x + $\frac{x^2}{{1.2}^3}$ + $\frac{x^3}{2^4.3}$ + .........
  E) 1 + $\frac{x}{2}$ + $\frac{x^2}{{1.2}^3}$ + $\frac{x^4}{1.2.6}$ + .........
  Show Answer
  The correct answer is C .
• Question 2715: A triangle has angles 30${}^{\circ }$, 15${}^{\circ }$ and 135${}^{\circ }$. The side opposite to the angle 30${}^{\circ }$ is length 6cm. The side opposite to the angle 135${}^{\circ }$ is equal to Options:
  A) 12cm
  B) 6cm
  C) 6$\sqrt{2}$cm
  D) 12$\sqrt{2}$cm
  Show Answer
  The correct answer is C .
• Question 2716:

  

  Find the length of the chord |AB| in the diagram shown above.

  Options:
  A) 4.2 cm
  B) 4.3 cm
  C) 3.2 cm
  D) 3.4 cm
  Show Answer
  The correct answer is D .
• Question 2717: Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even? Options:
  A) $\frac{2}{3}$
  B) $\frac{2}{15}$
  C) $\frac{1}{2}$
  D) $\frac{1}{4}$
  Show Answer
  The correct answer is C .
• Question 2718: Evaluate ${\int }_0^{\frac{\pi }{4}}se{c}^2\theta d\theta$ Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is A .
• Question 2719: The diameter of a metal rod is measured as 23.40 cm to four significant figures. What is the maximum error in the measurement? Options:
  A) 0.05cm
  B) 0.5cm
  C) 0.045cm
  D) 0.005cm
  E) 0.004cm
  Show Answer
  The correct answer is D .
• Question 2720: A man is standing in the corridor of a 10-storey building and looking down at a tall tree in front of the building. He sees the top of the tree at angle of depression of 30^o. If the tree is 200m tall and the man's eyes are 300m above the ground, calculate the angle of depression of the foot tree as seen by the man Options:
  A) 30^o
  B) 60^o
  C) 45^o
  D) 25^o
  Show Answer
  The correct answer is B .