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 2631: Solve the quadratic inequalities x² - 5x + 6 ≥0 Options:
  A) x ≤ 2, x ≥ 3
  B) x ≤ 3, x ≥ 2
  C) x ≤ -2, x ≥ -3
  D) x ≤-3, x ≥ 2
  Show Answer
  The correct answer is A .
• Question 2632:

  The quadratic equation whose roots are 1 - $\sqrt{13}$ and 1 + $\sqrt{13}$ is

  Options:
  A) x² + (1 - $\sqrt{13}$)x + 1 + $\sqrt{13}$ = 0
  B) x² - 2x - 12 = 0
  C) x² - 2x + 12 = 0
  D) x² + 12 + 2x² = 0
  Show Answer
  The correct answer is C .
• Question 2633: Simplify $\frac{\sqrt{2}}{\sqrt{3}-\sqrt{2}}$ - $\frac{3-2}{\sqrt{3}+\sqrt{2}}$ Options:
  A) 2$\sqrt{2}-\sqrt{3}$
  B) 3($\sqrt{6}$ - 1)
  C) $\sqrt{6}$ - 3
  D) -$\frac{1}{2}$
  E) $\frac{-\sqrt{3}}{\sqrt{2}-\sqrt{2}}$
  Show Answer
  The correct answer is B .
• Question 2634: Simplify $7\frac{1}{12}-4\frac{3}{4}+2\frac{1}{2}$ Options:
  A) 4
  B) 4¹/₆
  C) 4⁵/₆
  D) 5¹/₆
  Show Answer
  The correct answer is C .
• Question 2635: A market woman sells oil in cylindrical tins 10cm deep and 6cm in diameter at ₦15.00 each. If she bought a full cylindrical jug 18cm deep and 10cm in diameter for ₦50.00, how much did she make by selling all the oil? Options:
  A) ₦62.50
  B) ₦35.00
  C) ₦31.00
  D) ₦25.00
  Show Answer
  The correct answer is D .
• Question 2636:

  X and Y are two sets such that nX = 15, nY = 12 and n{X ∩ Y} = 7. Find n{X ∪ Y}.

  Options:
  A) 21
  B) 225
  C) 15
  D) 20
  Show Answer
  The correct answer is D .
• Question 2637: If the first term of an AP is 1.2 and the common difference is also 2, what is the mean of the first five terms? Options:
  A) 2
  B) 4
  C) 6
  D) 8
  E) 10
  Show Answer
  The correct answer is C .
• Question 2638:

  

  In the figure, MNQP is a cyclic quadrilateral. MN and Pq are produced to meet at X and NQ and MP are produced to meet at Y. If MNQ = 86${}^{\circ }$ and NQP = 122${}^{\circ }$ find (x${}^{\circ }$, y${}^{\circ }$)

  Options:
  A) 28${}^{\circ }$, 36${}^{\circ }$
  B) 36${}^{\circ }$, 28${}^{\circ }$
  C) 43${}^{\circ }$, 61${}^{\circ }$
  D) 61${}^{\circ }$, 43${}^{\circ }$
  E) 36${}^{\circ }$, 43${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 2639:

  If P varies inversely as V and V varies directly as R², find the relationship between P and R given that R = 7 when P = 2.

  Options:
  A) P = 98R²
  B) PR² = 98
  C) P = $\frac{1}{98R^2}$
  D) P = $\frac{P{R}^2}{98}$
  Show Answer
  The correct answer is B .
• Question 2640:

  Given U = {x is a positive integer less than 15} and P = {x is even number from 1 to 14}. Find the compliment.

  Options:
  A) {1, 3, 5, 7, 9, 11, 13, 15}
  B) {2, 3, 5, 7, 9, 11, 13}
  C) {1, 3, 5, 7, 9, 11, 13}
  D) {2, 3, 5, 7, 11, 15}
  Show Answer
  The correct answer is C .