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 1431:

  

  In the diagram are two concentric circles of radii r and R respectively with centre O. If r = $\frac{2}{5}$R, express the area of the shaded portion in terms of $\pi$ and R

  Options:
  A) $\frac{5}{9}\pi R^2$
  B) $\frac{21}{25}\pi R^2$
  C) $\frac{21}{23}\pi R^2$
  D) $\frac{9}{25}\pi R^2$
  Show Answer
  The correct answer is B .
• Question 1432:

  In a sample survey of a University Community, the following table shows the percentage distribution of the number of members per household:

  $\begin{array}{cccccccccc}\text{No. of members per household}& 1& 2& 3& 4& 5& 6& 7& 8& \text{Total}\\ \text{No. of households}& 3& 12& 15& 28& 21& 10& 7& 4& 100\end{array}$

  What is the median?

  Options:
  A) 4
  B) 3
  C) 5
  D) 4.5
  E) None
  Show Answer
  The correct answer is A .
• Question 1433: By selling 20 oranges for ₦1.35 a trader makes a profit of 8%. What is his percentage gain or loss if he sells the same 20 oranges for ₦1.10? Options:
  A) 8%
  B) 10%
  C) 12%
  D) 15%
  Show Answer
  The correct answer is C .
• Question 1434: The perpendicular bisector of a line XY is the locus of a point B. whose distance from Y is always twice its distance from X. C Options:
  A) whose distance from X is always twice its distance from Y
  B) whose distance from Y is always twice its distance from X.
  C) which moves on the line XY
  D) which is equidistant from the points X and y
  Show Answer
  The correct answer is D .
• Question 1435: If X $\ast$ Y = X + Y - XY, find x when (x $\ast$ 2) + (x $\ast$ 3) = 68 Options:
  A) 24
  B) 22
  C) -12
  D) -21
  Show Answer
  The correct answer is D .
• Question 1436: If the value of is taken to be $\frac{22}{7}$, the area of a semi-circle of diameter 42m is Options:
  A) 5544m²
  B) 1386m²
  C) 132m²
  D) 264m²
  E) 693m²
  Show Answer
  The correct answer is E .
• Question 1437:

  Find the length of a chord 3cm from the centre of a circle of radius 5cm

  Options:
  A) 8cm
  B) 5.6cm
  C) 7cm
  D) 6.5cm
  Show Answer
  The correct answer is A .
• Question 1438: From a point P, the bearings of two points Q and R are N67⁰W and N23⁰E respectively. If the bearing of R from Q is N68⁰E and PQ = 150m, calculate PR Options:
  A) 120m
  B) 140m
  C) 150m
  D) 160m
  Show Answer
  The correct answer is C .
• Question 1439: If the maximum value of $y=1+hx-3x^2$ is $13$, find $h$. Options:
  A) 13
  B) 12
  C) 11
  D) 10
  E) 14
  Show Answer
  The correct answer is B .
• Question 1440:

  

  In the Figure FD\AC, the area of AEF = 6sq.cm. AE = 3cm, BC = 3cm, CD = 5cm, < BCD is an obtuse angle. Find the length of BD.

  Options:
  A) $\sqrt{33}$
  B) 6
  C) 4
  D) 2$\sqrt{13}$
  E) 4$\sqrt{5}$
  Show Answer
  The correct answer is D .