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: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 2: 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 3:

  If 2x${}^2$ + x - 3 divides x - 2, find the remainder.

  Options:
  A) 7
  B) 3
  C) 5
  D) 6
  Show Answer
  The correct answer is A .
• Question 4: Find $\frac{dy}{dx}$, if y = $\frac{2}{3}$ X³ - $\frac{4}{x}$ Options:
  A) 3x² - $\frac{4}{x}$
  B) 2x² +$\frac{4}{x^2}$
  C) 3x² + $\frac{4}{x^2}$
  D) 2x² - $\frac{4}{x}$
  Show Answer
  The correct answer is B .
• Question 5: In an acute angle-triangle XYZ, XZ = 9cm, YZ = 11cm and ∠XZY = 35° Calculate ∠YXZ, correct to the nearest degree. Options:
  A) 57°
  B) 45°
  C) 33°
  D) 16°
  E) 89°
  Show Answer
  The correct answer is E .
• Question 6: A student spent ¹/₅of his allowance on books, ¹/₂ of remainder on food and kept the rest for contingencies. What fraction was kept? Options:
  A) ⁷/₁₅
  B) ⁸/₁₅
  C) ²/₅
  D) ⁴/₅
  Show Answer
  The correct answer is C .
• Question 7: If s = (2 + 3t)(5t - 4), find ^s/_dt when t = ⁴/₅ secs Options:
  A) 0 units per sec
  B) 15 units per sec
  C) 22 unit per sec
  D) 26 units per sec
  Show Answer
  The correct answer is C .
• Question 8:

  Find the roots of x³ - 2x² - 5x + 6 = 0

  Options:
  A) 1, -2, 3
  B) 1, 2, -3
  C) -1, -2, 3
  D) -1, 2, -3
  Show Answer
  The correct answer is A .
• Question 9: 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 10: Calculate the logarithm to base 9 of 3^-4 * 9² * (81)^-1 Options:
  A) 2
  B) zero
  C) -2
  D) -4
  Show Answer
  The correct answer is C .