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 431:

  

  TQ is tangent to circle XYTR, < YXT = 32${}^{\circ }$, RTQ = 40${}^{\circ }$. Find < YTR

  Options:
  A) 108${}^{\circ }$
  B) 121${}^{\circ }$
  C) 140${}^{\circ }$
  D) 148${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 432: The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone Options:
  A) 7cm
  B) 22cm
  C) 28cm
  D) 49cm
  E) 154cm
  Show Answer
  The correct answer is C .
• Question 433:

  Find the derivativeof the function y = 2x${}^2$(2x - 1) at the point x = -1?

  Options:
  A) 18
  B) 16
  C) -4
  D) -6
  Show Answer
  The correct answer is B .
• Question 434: Factorize x² + 9x + 20 Options:
  A) (x − 5) ²
  B) (x + 5)(x + 4)
  C) (x – 5)(x + 3)
  D) (x + 3) ²
  Show Answer
  The correct answer is B .
• Question 435:

  

  The solution set of the shaded area above is

  Options:
  A) y + x $\le$ 4, y $\ge$ x
  B) y $\le$ 0, y $\le$ x and y + x $\ge$ 4
  C) y $\ge$ x, y + x $\ge$ 4 and y $\le$ 0
  D) y $\ge$ x, y + x $\ge$ 4
  Show Answer
  The correct answer is C .
• Question 436: Increase 135 in the ratio 3:5 Options:
  A) 225
  B) 216
  C) 143
  D) 140
  E) 140
  Show Answer
  The correct answer is A .
• Question 437:

  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 438: If Log₁₀2 = 0.3010 and Log₁₀3 = 0.4771, evaluate Log₁₀4.5 Options:
  A) 0.9542
  B) 0.6532
  C) 0.4771
  D) 0.3010
  Show Answer
  The correct answer is B .
• Question 439: Evaluate $\underset{0}{\overset{\frac{\pi }{2}}{\int }}$ sin xdx Options:
  A) 2
  B) -1
  C) 1
  D) -2
  Show Answer
  The correct answer is C .
• Question 440: P sold his bicycle to Q at a profit of 10%. How much did the bicycle cost P? Options:
  A) ₦200
  B) ₦196
  C) ₦180
  D) ₦205
  E) ₦150
  Show Answer
  The correct answer is A .