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 1401: Find the value of X if $\frac{\sqrt{2}}{x+\sqrt{2}}=\frac{1}{x-\sqrt{2}}$ Options:
  A) 3√2+4
  B) 3√2-4
  C) 3-2√2
  D) 4+2√2
  Show Answer
  The correct answer is A .
• Question 1402:

  

  XYZ is a circle enter o and a radius 7cm. Find the area of the shaded region. θ = 45 x 2 = 90

  Options:
  A) 84cm²
  B) 77cm²
  C) 38cm²
  D) 14cm²
  Show Answer
  The correct answer is D .
• Question 1403: A survey of 100 students in an institution shows that 80 students speak Hausa and 20 students speak Igbo, while only 9 students speak both language. How many students speak neither Hausa nor Igbo? Options:
  A) orange
  B) 9
  C) 11
  D) 20
  Show Answer
  The correct answer is B .
• Question 1404:

  If the volume of a frustrum is given as $V=\frac{\pi h}{3}(R^2+Rr+r^2)$, find $\frac{\mathrm{d}V}{\mathrm{d}R}$.

  Options:
  A) $\frac{\pi h}{3}(2R+r)$
  B) $2R+r+\frac{\pi h}{3}$
  C) $\frac{\pi h}{3}(2R^2+r+2r)$
  D) $\frac{2R^2}{3}\pi h$
  Show Answer
  The correct answer is A .
• Question 1405:

  Determine the mean monthly salary of 50 employees of a company from the following frequency distribution.

  $\begin{array}{cc}\text{Monthly salary}& \text{Frequency}\\ N200.00& 10\\ N325.00& 5\\ N100.00& 20\\ N120.00& 2\\ N60.00& 10\\ N80.00& 3\end{array}$

  Options:
  A) ₦215.30
  B) ₦134.10
  C) ₦143.10
  D) ₦80.00
  E) ₦50.30
  Show Answer
  The correct answer is B .
• Question 1406: Solve the system of equations: $2^{x+y}=32,3^{3y-x}=27$ Options:
  A) (3, 2)
  B) (-3, 2)
  C) (3, -2)
  D) (-3, -2)
  E) (2, 2)
  Show Answer
  The correct answer is A .
• Question 1407:

  

  In the figure above, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units

  Options:
  A) 3
  B) 4
  C) 5
  D) 6
  Show Answer
  The correct answer is B .
• Question 1408:

  The locus of pointsequidistant from a fixed point.

  Options:
  A) circle
  B) perpendicular lines
  C) straight line
  D) bisector
  Show Answer
  The correct answer is A .
• Question 1409: Using the graph find the values of p and q if px + qy $\ge$ 4 Options:
  A) p = 2, q = -1
  B) p = -1, q = 2
  C) p = 2, q = 2
  D) p = 1, q = 2
  Show Answer
  The correct answer is B .
• Question 1410:

  If y = x² - x - 12, find the range of values of x for which y $\ge$ 0,

  Options:
  A) -3 $<$ x $\le$ 4
  B) x $<$ -3 or x $>$ 4
  C) -3 $\le$ x $\le$ 4
  D) x $\le$ -3 or x $\ge$ 4
  Show Answer
  The correct answer is C .