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 281: In a recent zonal championship games involving 10 teams, teams X and Y were given probabilities $\frac{2}{5}$ and $\frac{1}{3}$ respectively of winning the gold in the football event. What is the probability that either team will win the gold? Options:
  A) $\frac{2}{15}$
  B) $\frac{7}{15}$
  C) $\frac{11}{15}$
  D) $\frac{13}{15}$
  Show Answer
  The correct answer is C .
• Question 282: What is the locus of a point P which moves on one side of a straight line XY, so that the angle XPY is always equal to 90^o? Options:
  A) the perpendicular bisector of XY
  B) a right-angled triangle
  C) a circle
  D) a semi circle
  Show Answer
  The correct answer is D .
• Question 283: If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between P and r? Options:
  A) p varies directly as r³
  B) p varies directly as r⁶
  C) p varies as 6$\sqrt{r}$
  D) p varies inversely as r⁶
  Show Answer
  The correct answer is D .
• Question 284: 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 285: Factorize completely (4x + 3y)² - (3x - 2y)² Options:
  A) (x + 5y)(7x + y)
  B) (x + 5y)(7x - y)
  C) (x - 5y)(7x + y)
  D) (x - 5y)(7x -y)
  Show Answer
  The correct answer is A .
• Question 286:

  If $\frac{3-\sqrt{3}}{2+\sqrt{3}}=a+b\sqrt{3}$, what are the values a and b?

  Options:
  A) a = 9, b = -5
  B) a = 5, b = 9
  C) a = 9, b = 5
  D) a = -5, b = 9
  Show Answer
  The correct answer is A .
• Question 287: A man is 40m from the foot of a cliff of height 23m. Calculate the angle of elevation of the top of the cliff from the man Options:
  A) 50° 54′
  B) 35° 06′
  C) 30° 00′
  D) 290 90′
  E) 29° 54′
  Show Answer
  The correct answer is E .
• Question 288: If y = 2x³ + 6x² + 6x + 1, Find $\frac{dy}{dx}$ Options:
  A) 6x² + 12x + 1
  B) 6x² + 6x + 1
  C) 6x² + 6x + 6
  D) 6x² + 12x + 6
  Show Answer
  The correct answer is D .
• Question 289:

  Correct each of the numbers 59.81798 and 0.0746829 to three significant figures and multiply them, giving your answer to three significant figures

  Options:
  A) 4.46
  B) 4.48
  C) 4.47
  D) 4.49
  E) 4.50
  Show Answer
  The correct answer is C .
• Question 290: The probability that a student will pass a mathematics test is ⅗. If 3 students are chosen at random, what is the probability that at least 2 of them will pass the test? Options:
  A) $\frac{27}{125}$
  B) $\frac{9}{25}$
  C) $\frac{72}{125}$
  D) $\frac{76}{125}$
  E) $\frac{81}{125}$
  Show Answer
  The correct answer is E .