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 991:

  Fifty boxes each of 50 bolts were inspected for the number which were defective. The following was the result:

  $\begin{array}{ccccccc}\text{No. defective per box}& 4& 5& 6& 7& 8& 9\\ \text{No. of boxes}& 2& 7& 17& 10& 8& 6\end{array}$

  Find the percentage of boxes containing at least 5 defective bolts each.

  Options:
  A) 96
  B) 94
  C) 92
  D) 90
  Show Answer
  The correct answer is A .
• Question 992: Rationalize $\frac{2-\sqrt{5}}{3-\sqrt{5}}$ Options:
  A) $\frac{1-\sqrt{5}}{2}$
  B) $\frac{1-\sqrt{5}}{4}$
  C) $\frac{\sqrt{5}-1}{2}$
  D) $\frac{1+\sqrt{5}}{4}$
  Show Answer
  The correct answer is B .
• Question 993:

  What is the rate of change of the volume Vof a hemisphere with respect to its radius r when r = 2?

  Options:
  A) 8π
  B) 16π
  C) 2π
  D) 4π
  Show Answer
  The correct answer is A .
• Question 994: The sides of a triangle are(x + 4)cm, xcm and (x - 4)cm, respectively If the cosine of the largest angle is $\frac{1}{5}$, find the value of x Options:
  A) 24cm
  B) 20cm
  C) 28cm
  D) 7cm
  E) $\frac{88}{7}$
  Show Answer
  The correct answer is A .
• Question 995:

  If the binary operation $\ast$ is defined by m $\ast$ n = mn + m + n for any real number m and n, find the identity of the elements under this operation

  Options:
  A) e = 1
  B) e = -1
  C) e = -2
  D) e = 0
  Show Answer
  The correct answer is D .
• Question 996: Differentiate $\frac{6x^3-5x^2+1}{3x^2}$ with respect to x Options:
  A) $\frac{2+2}{3x^3}$
  B) 2 + $\frac{1}{6x}$
  C) 2 - $\frac{2}{3x^3}$
  D) $\frac{1}{5}$
  Show Answer
  The correct answer is C .
• Question 997:

  Age in years	7	8	9	10	11
  No of pupils	4	13	30	44	9

  The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

  Options:
  A) 48.6°
  B) 56.3°
  C) 46.8°
  D) 13°
  Show Answer
  The correct answer is C .
• Question 998: The scores of set of final year students in the first semester examination in a paper are 41, 29, 55, 21, 47, 70, 70, 40, 43, 56, 73, 23, 50, 50. Find the median of the scores. Options:
  A) 47
  B) 50
  C) 48$\frac{1}{2}$
  D) 48
  E) 49
  Show Answer
  The correct answer is C .
• Question 999: 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 1000: Obi borrows ₦10.00 at 2% per month simple interest and repays ₦8.00 after 4 months, how much does he still owe? Options:
  A) ₦10.80
  B) ₦10.65
  C) ₦2.80
  D) ₦2.67
  Show Answer
  The correct answer is C .