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 2701: 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 2702:

  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) $\frac{1}{2}$
  C) $\frac{1}{3}$
  D) $\frac{1}{4}$
  Show Answer
  The correct answer is B .
• Question 2703: 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 2704:

  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 2705: (3.2)² - (1.8)² equals Options:
  A) 7.0
  B) 2.56
  C) 13.48
  D) 2.0
  E) 0.07
  Show Answer
  The correct answer is A .
• Question 2706: The graphical method of solving the equation x³ + 3x² + 4x - 28 = 0 is by drawing the graphs of the curves Options:
  A) y = x³ and y = 3x² + x - 28
  B) y = x³ + 3x² + 4x + 4 and the line y = $\frac{28}{x}$
  C) y = x³ + 3x² + 4x and y
  D) y = x² + 3x + 4 and y = $\frac{28}{x}$
  E) y = x² + 3x + 4 and line y = 28x
  Show Answer
  The correct answer is D .
• Question 2707: What is the nth term of the progression 27, 9, 3,......? Options:
  A) 27$\frac{1}{3}$ ^{n - 1}
  B) 3^{n + 2}
  C) 27 + 18(n - 1)
  D) 27 + 6(n - 1)
  Show Answer
  The correct answer is A .
• Question 2708: Convert 27₁₀ to another number in base three Options:
  A) 1001₃
  B) 1010₃
  C) 1100₃
  D) 1000₃
  Show Answer
  The correct answer is D .
• Question 2709: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C .
• Question 2710: A man made a profit of 5% when he sold an article for N60,000.00. How much would he have sell the article to make a profit of 26% Options:
  A) N68,000
  B) N72,000
  C) N65,000
  D) N70,000
  Show Answer
  The correct answer is B .