Jamb Mathematics Past Questions For Year 1991
Question 31
Simplify \(\cos^{2} x (\sec^{2} x + \sec^{2} x \tan^{2} x)\)
- A. tan x
- B. tanx secx
- C. \(\sec^2 x\)
- D. cosec2x
Question 32
If cos x = \(\sqrt{\frac{a}{b}}\) find cosec x
- A. \(\frac{b}{\sqrt{b - a}}\)
- B. \(\sqrt{\frac{b}{a}}\)
- C. \(\sqrt{\frac{b}{b - a}}\)
- D. \(\sqrt{\frac{b - a}{a}}\)
Question 33
From a point Z, 60 m north of X, a man walks 60√3m eastwards to another point Y. Find the bearing of Y from X.
- A. 0.30°
- B. 045°
- C. 060°
- D. 090°
Question 34
Find the total area of the surface of a solid cylinder whose base radius is 4cm and height is 5cm
- A. 56\(\pi\) cm2
- B. 72\(\pi\) cm2
- C. 96\(\pi\) cm2
- D. 192\(\pi\) cm2
Question 35
3% of a family's income is spent on electricity, 59% on food, 20% on transport, 11% on education and 7% on extended family. The angles subtended at the centre of the pie chart under education and food are respectively
- A. 76.8° and 25.2°
- B. 10.8° and 224.6°
- C. 112.4° and 72.0°
- D. 39.6° and 212.4°
