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 961: An isosceles triangle of sides 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle? Options:
  A) 7cm
  B) 12cm
  C) 8cm
  D) 7cm
  E) 69cm
  Show Answer
  The correct answer is A .
• Question 962: The area of the curved surface of the cone generated by the sector of a circle radius 6cm and are length 22cm is ($\pi$ = $\frac{22}{7}$) Options:
  A) 58 sq.cm
  B) 34 sq.cm
  C) 132 sq.cm
  D) 77 sq.cm
  E) 66 sq.cm
  Show Answer
  The correct answer is E .
• Question 963: Find the dimensions of a rectangle of greatest area which has a fixed perimeter p. Options:
  A) square of sides p
  B) square of sides 2p
  C) square of sides (p/2)
  D) square of sides (p/4)
  Show Answer
  The correct answer is D .
• Question 964:

  The number of goals scored by a football team in 20 matches is shown below:

  $\begin{array}{ccccccc}\text{No. of goals}& 0& 1& 2& 3& 4& 5\\ \text{No. of matches}& 3& 5& 7& 3& 1& 0\end{array}$

  What are the values of the mean and the mode respectively?

  Options:
  A) (1.75, 5)
  B) (1.75, 2)
  C) (1.75, 1)
  D) (65, 74)
  Show Answer
  The correct answer is B .
• Question 965:

  If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.

  Options:
  A) 50 units per sec
  B) 35 units per sec
  C) 22 units per sec
  D) 13 units per sec
  Show Answer
  The correct answer is B .
• Question 966: Simplify f^{$\frac{1}{2}$}g²h^{$\frac{1}{2}$} $÷$ f^{$\frac{5}{2}$}g^oh^{$\frac{7}{3}$} Options:
  A) ($\frac{g}{fh}$)²
  B) f²g²h²
  C) $\frac{5}{4}$g^oh$\frac{7}{9}$
  D) $\frac{g^2}{f^5{h}^7}$
  E) $\frac{1}{f^2{h}^2}$
  Show Answer
  The correct answer is A .
• Question 967:

  A binary operation Δ is defined by a Δ b = a + 3b + 2.

  Find (3 Δ 2) Δ 5

  Options:
  A) 35
  B) 59
  C) 28
  D) 87
  Show Answer
  The correct answer is C .
• Question 968: If M(4, q) is the mid-point of the line joining L(p, -2) and N(q, p). Find the values of p and q Options:
  A) P = 2, q = 4
  B) p = 3, q = 1
  C) p = 5, q = 3
  D) p = 6, q = 2
  Show Answer
  The correct answer is D .
• Question 969:

  The probability of an event A is 1/5. The probability of B is 1/3 . The probability both A and B is 1/15. What is the probability of either event A or B or both?

  Options:
  A) $\frac{2}{15}$
  B) $\frac{3}{4}$
  C) $\frac{7}{15}$
  D) $\frac{1}{15}$
  Show Answer
  The correct answer is C .
• Question 970: Simplify $\sqrt{160r^2}$ + $\sqrt{71r^4}$ + $\sqrt{100r^2}$ Options:
  A) 9r²
  B) 12$\sqrt{3r}$
  C) 13r
  D) $\sqrt{13r}$
  Show Answer
  The correct answer is C .