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 871:

  Evaluate $\int x^2\text{Sin}x\mathrm{\Delta }x$

  Options:
  A) −Cos x + 2xSin x + C
  B) −Cos x + 2
  C) x²Cos x + 2xSin x + 2Cos x+ C
  D) −x²Cos x + 2xSinx + 2Cos x + C
  Show Answer
  The correct answer is D .
• Question 872:

  

  In the figure, a solid consists of a hemisphere surmounted by a right circular cone, with radius 3.0cm and height 6.0cm. Find the volume of the solid

  Options:
  A) 36$\pi$cm ³
  B) 54$\pi$cm ²
  C) 18$\pi$cm ²
  D) 108$\pi$cm ²
  Show Answer
  The correct answer is A .
• Question 873: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 874: Find the value of ${\int }_0^{\pi }\frac{co{s}^2\theta -1}{si{n}^2\theta }d\theta$ Options:
  A) π
  B) π/2
  C) -π/2
  D) -π
  Show Answer
  The correct answer is D .
• Question 875: if x - 1 and x + 1 are both factors of the equation x ³ + px² + qx + 6 = 0, evaluate p and q Options:
  A) -6, -1
  B) 6, 1
  C) 1, -1
  D) 6, -6
  Show Answer
  The correct answer is A .
• Question 876: The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test? Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{4}{15}$
  D) $\frac{1}{5}$
  E) $\frac{2}{15}$
  Show Answer
  The correct answer is C .
• Question 877: 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 878:

  A binary operation $\otimes$ is defined by $m\otimes n=mn+m-n$ on the set of real numbers, for all m, n $\in$ R. Find the value of 3 $\otimes$ (2 $\otimes$ 4).

  Options:
  A) 6
  B) 25
  C) 15
  D) 18
  Show Answer
  The correct answer is C .
• Question 879: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 880: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .