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 1541: Rationalize $\frac{2\sqrt{3}+3\sqrt{2}}{3\sqrt{2}-2\sqrt{3}}$ Options:
  A) 5 - 2$\sqrt{6}$
  B) 5 + 2$\sqrt{6}$
  C) 5$\sqrt{6}$
  D) 5
  Show Answer
  The correct answer is B .
• Question 1542: A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without replacement. What is the probability that they are both red? Options:
  A) $\frac{2}{3}$
  B) $\frac{2}{15}$
  C) $\frac{1}{2}$
  D) $\frac{1}{3}$
  Show Answer
  The correct answer is D .
• Question 1543: Simplify $\frac{(2m-u{)}^2-(m-2u{)}^2}{5m^2-5u^2}$ Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{2m-u}{5m+u}$
  D) $\frac{m-2u}{m+5u}$
  Show Answer
  The correct answer is A .
• Question 1544: The chord ST of a circle is equal to the radius, r, of the circle. Find the length of arc ST. Options:
  A) πr/6
  B) πr/2
  C) πr/12
  D) πr/3
  Show Answer
  The correct answer is D .
• Question 1545:

  $\begin{array}{cccccc}\text{Values}& 0& 1& 2& 3& 4\\ \text{Frequency}& 1& 2& 2& 1& 9\end{array}$

  Find the mode of the distribution above

  Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is D .
• Question 1546: Thirty boys and X girls sat for a test. The mean of the boys' scores and that of the girls were respectively 6 and 8. Find 8 if the total score was 468. Options:
  A) 38
  B) 24
  C) 36
  D) 22
  E) 41
  Show Answer
  The correct answer is C .
• Question 1547:

  Each of the base angles of an isosceles triangle is 59^o, and the vertices of the triangle lie on a circle. Determine the angle at which the base of the triangle subtends at the centre of the circle.

  Options:
  A) 124^o
  B) 16^o
  C) 64^o
  D) 58^o
  Show Answer
  The correct answer is A .
• Question 1548: Factorize r² - r(2p + q) + 2pq Options:
  A) (r - 2q)(2r - p)
  B) (r - p)(r + p0
  C) (r - q)(r - 2p)
  D) (2r - q)(r + p)
  Show Answer
  The correct answer is C .
• Question 1549: x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6? Options:
  A) $\frac{5}{6}$
  B) 11
  C) 3$\frac{3}{5}$
  D) 2$\frac{1}{2}$
  E) 1$\frac{1}{5}$
  Show Answer
  The correct answer is D .
• Question 1550: Raial has 7 different posters to be hanged in her bedroom, living room and kitchen. Assuming she has plans to place at least a poster in each of the 3 rooms, how many choices does she have? Options:
  A) 49
  B) 170
  C) 21
  D) 210
  Show Answer
  The correct answer is D .