Jamb Mathematics Past Questions For Year 1988

Question 36

If cot \(\theta\) = \(\frac{x}{y}\), find cosec\(\theta\)

jamb 1988

• A. \(\frac{1}{y}\)(x² + y²)
• B. \(\frac{x}{y}\)
• C. \(\frac{1}{y}\)\(\sqrt{x^2 + y^2}\)
• D. \(\frac{x - y}{y}\)

Question 37

In triangle PQR, PQ = 1cm, QR = 2cm and PQR = 120°. Find the longest side of the triangle

jamb 1988

• A. \(\sqrt{3}\)cm
• B. \(\sqrt{7}\)cm
• C. 3cm
• D. 7cm

Question 38

If \(\cos^2 \theta + \frac{1}{8} = \sin^2 \theta\), find \(\tan \theta\).

jamb 1988

• A. 3
• B. \(\frac{3\sqrt{7}}{7}\)
• C. 3\(\sqrt{7}\)
• D. \(\sqrt{7}\)

Question 39

If a metal pipe 10cm long has an external diameter of 12cm and a thickness of 1cm find the volume of the metal used in making the pipe

jamb 1988

• A. 120\(\pi\)cm³
• B. 110\(\pi\)cm³
• C. 60\(\pi\)cm³
• D. 50\(\pi\)cm³

Question 40

PQR is a triangle in which PQ = 10cm and QPR = 60

^oS is a point equidistant from P and Q. Also S is a point equidistant from PQ and PR. If U is the foot of the perpendicular from S on PR, find the length SU in cm to one decimal place

jamb 1988

• A. 2.7
• B. 4.33
• C. 3.1
• D. 3.3