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Friday, 06 November 2026
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Mathematics Past Questions and Answers

Jamb 1984 Mathematics Questions

Question 26:
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
  • A 24cm
  • B 20cm
  • C 28cm
  • D 7cm
  • E \(\frac{88}{7}\)
View Answer & Explanation
Question 27:
If a = \(\frac{2x}{1 - x}\) and b = \(\frac{1 + x}{1 - x}\), then a2 - b2 in the simplest form is
  • A \(\frac{3x + 1}{x - 1}\)
  • B \(\frac{3x^2 - 1}{(x - 1)}\)<sup style='font-size: smaller;'>2</sup>
  • C X\(\frac{3x - 2}{1 - x}\)
  • D \(\frac{3x^2 - 1}{(x - 1)}\)
View Answer & Explanation
Question 28:
Simplify (1 + \(\frac{\frac{x - 1}{1}}{\frac{1}{x + 1}}\))(x + 2)
  • A (x<sup style='font-size: smaller;'>2</sup> - 1)(x + 2)
  • B X<sup style='font-size: smaller;'>2</sup>(x + 2)
  • C <sup style='font-size: smaller;'>2</sup> + 34
  • D \(\frac{3x^2 - 1}{(x - 1)}\)
View Answer & Explanation
Question 29:
If pq + 1 = q2 and t = \(\frac{1}{p}\) - \(\frac{1}{pq}\) express t in terms of q
  • A \(\frac{1}{p - q}\)
  • B \(\frac{1}{q - 1}\)
  • C \(\frac{1}{q + 1}\)
  • D 1 + 0
  • E \(\frac{1}{1 - q}\)
View Answer & Explanation
Question 30:
The cumulative frequency function of the data below is given below by the equation y = cf(x). What is cf(5)?
\(\begin{array}{c|c} Score(n) & Frequency(f)\\\hline 3 & 30\\ 4 & 32\\ 5 & 30\\ 6 & 35\\8 & 20 \end{array}\)
  • A 30
  • B 32
  • C 55
  • D 62
  • E 92
View Answer & Explanation