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 1:

  The nth term of a sequence is given by 2${}^{2n-1}$. Find the sum of the first four terms.

  Options:
  A) 74
  B) 32
  C) 42
  D) 170
  Show Answer
  The correct answer is D .
• Question 2: If α and β are the roots of the equation 3x² + 5x - 2 = 0, find the value of 1/α + 1/β Options:
  A) -5/3
  B) -2/3
  C) 1/2
  D) 5/2
  Show Answer
  The correct answer is D .
• Question 3: The probability of an event P is $\frac{3}{4}$ while that of another event Q is $\frac{1}{6}$. If the probability of both P and Q is $\frac{1}{2}$. What is the probability of either P or Q. Options:
  A) $\frac{1}{96}$
  B) $\frac{1}{8}$
  C) $\frac{5}{6}$
  D) $\frac{11}{12}$
  Show Answer
  The correct answer is C .
• Question 4: If sin $\theta$ = $\frac{3}{5}$, find tan $\theta$ Options:
  A) $\frac{3}{4}$
  B) $\frac{3}{5}$
  C) $\frac{2}{4}$
  D) $\frac{1}{4}$
  Show Answer
  The correct answer is A .
• Question 5:

  A sector of a circle of radius 7.2cm which subtends an angle of 300° at the centre is used to form a cone. What is the radius of the base of the cone?

  Options:
  A) 8cm
  B) 6cm
  C) 9cm
  D) 7cm
  Show Answer
  The correct answer is B .
• Question 6:

  Find the missing numerator $\frac{5}{x+1}$ - $\frac{3}{1-x}$ - $\frac{7x-1}{x^2-1}$ = x + 1

  Options:
  A) -1
  B) x - 1
  C) $\frac{3(1-5x)}{x-1}$
  D) $\frac{1}{(x+1)}$
  E) 3(1 - 5x)
  Show Answer
  The correct answer is D .
• Question 7:

  Evaluate $\frac{0.8\times 0.43\times 0.031}{0.05\times 0.72\times 0.021}$ correct to four significant figures.

  Options:
  A) 14.09
  B) 14.1
  C) 14.12
  D) 14.11
  Show Answer
  The correct answer is D .
• Question 8: 3y = 4x - 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K. Options:
  A) -4/3
  B) -3/4
  C) 3/4
  D) 4/3
  Show Answer
  The correct answer is A .
• Question 9:

  The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm${}^3$, then the volume of the other block is?

  Options:
  A) 234.00 cm³
  B) 526.50 cm³
  C) 166.00 cm³
  D) 687cm³
  Show Answer
  The correct answer is A .
• Question 10: If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64 Options:
  A) 12
  B) 6
  C) 3
  D) 5
  Show Answer
  The correct answer is B .