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 91: Obtain a maximum value of the function f(x) = x${}^3$ - 12x + 11. Options:
  A) -5
  B) -2
  C) 2
  D) 27
  Show Answer
  The correct answer is D .
• Question 92: A side of a rhombus is 2cm in length. An angle of the rhombus is 60^o. What is the length of the diagonal facing this angle? Options:
  A) 2cm
  B) 8cm
  C) 4cm
  D) 2$\sqrt{3}$cm
  E) 16cm
  Show Answer
  The correct answer is D .
• Question 93: The sixth term of an A.P is half of its twelfth term. The first term of the A.P is equal to Options:
  A) zero
  B) half of the common difference
  C) double the common difference
  D) the common difference
  Show Answer
  The correct answer is D .
• Question 94:

  

  TP and TQ are tangents to a circle centre 0 and r is a point on the circumference of the circle as shown in the figure. If angle PTQ = 45${}^{\circ }$, what is the magnitude of the angle PRO?

  Options:
  A) 45
  B) 135
  C) 40
  D) 76$\frac{1}{2}$
  E) 52$\frac{1}{2}$
  Show Answer
  The correct answer is D .
• Question 95: A group of 14 children children received the following scores in a reading test: 35, 35, 26, 26, 26, 29, 29, 29, 12, 25, 25, 25, 25, 17. What was the median score. Options:
  A) 29
  B) 26
  C) 24
  D) 25
  E) 23
  Show Answer
  The correct answer is B .
• Question 96: A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room Options:
  A) $\frac{5}{17}$
  B) $\frac{8}{17}$
  C) $\frac{8}{15}$
  D) $\frac{12}{17}$
  Show Answer
  The correct answer is A .
• Question 97:

  The table below is drawn for a graph y = x³ - 3x + 1.

  $\begin{array}{cccccccc}x& -3& -2& -1& 0& 1& 2& 3\\ y=x^3-3x+1& 1& -1& 3& 1& -1& 3& 1\end{array}$

  From x = -2 to x = 1, the graph crosses the x-axis in the range(s)

  Options:
  A) -1 < x < 0 and 0 < x < 1
  B) -2 < x < -1 and 0 < x < 1
  C) -2 < x < -1 and -1 < x < 0
  D) 0 < x < 1
  Show Answer
  The correct answer is B .
• Question 98: What is the probability that an integer x $(1\le x\le 25)$ chosen at random is divisible by both 2 and 3? Options:
  A) $\frac{1}{25}$
  B) $\frac{1}{5}$
  C) $\frac{4}{25}$
  D) $\frac{3}{4}$
  Show Answer
  The correct answer is C .
• Question 99: Evaluate log_baⁿ if b = aⁿ Options:
  A) nⁿ
  B) n
  C) $\frac{1}{n}$
  D) $\frac{1}{n^2}$
  Show Answer
  The correct answer is B .
• Question 100: If two angles of a triangle are 30^o each and the longest side is 10cm. Calculate the length of each of the other sides Options:
  A) 5cm
  B) 4cm
  C) 3√3 cm
  D) 10$\frac{3}{3}$cm
  Show Answer
  The correct answer is D .