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: 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 2: Find the value of x for which 2(3^{2x - 1}) = 162 Options:
  A) $\frac{3}{2}$
  B) $\frac{1}{2}$
  C) $\frac{5}{2}$
  D) $\frac{2}{5}$
  Show Answer
  The correct answer is C .
• Question 3: Find the values of x which satisfy the equation 16^x - 5 x 4^x + 4 = 0 Options:
  A) 1 and 4
  B) -2 and 2
  C) 0 and 1
  D) -1 and 0
  Show Answer
  The correct answer is C .
• Question 4: If the angles of quadrilateral are (P + 10)^o(2P - 30)^o(3P + 20)^o and 4p^o, find p Options:
  A) 63
  B) 40
  C) 36
  D) 28
  Show Answer
  The correct answer is C .
• Question 5:

  If a = $\frac{2x}{1-x}$ and b = $\frac{1+x}{1-x}$, then a² - b² in the simplest form is

  Options:
  A) $\frac{3x+1}{1-x}$
  B) $\frac{3x^2-1}{(x-1{)}^2}$
  C) $\frac{3x-2}{1-x}$
  D) $\frac{3x^2-1}{(x-1)}$
  Show Answer
  The correct answer is A .
• Question 6:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A .
• Question 7: A trader sold an article for N4,600.00 thereby making a profit of 15%. Calculate the cost price of the article Options:
  A) N3450.00
  B) N3910.00
  C) N4000.00
  D) N5290.00
  E) N6900.00
  Show Answer
  The correct answer is C .
• Question 8: In a geometric progression, the first term is 153 and the sixth term is $\frac{17}{27}$. The sum of the first four terms is Options:
  A) $\frac{860}{3}$
  B) $\frac{680}{3}$
  C) $\frac{608}{3}$
  D) $\frac{680}{3}$
  Show Answer
  The correct answer is B .
• Question 9: If log 3 = 0.4771 and log 2 = 0.3010, what is the value of log 12? Options:
  A) 0.0432
  B) 0.4322
  C) 1.0791
  D) 1.2552
  E) 1.5225
  Show Answer
  The correct answer is C .
• Question 10: If cos $\theta$ = $\frac{\sqrt{3}}{2}$ and $\theta$ is less than 90^o. Calculate cos$\frac{90-\theta }{si{n}^2\theta }$ Options:
  A) $\frac{4}{\sqrt{3}}$
  B) $\sqrt{\frac{3}{2}}$
  C) $\sqrt{\frac{76}{2}}$
  D) 4$\sqrt{\frac{76}{2}}$
  Show Answer
  The correct answer is A .