Jamb Mathematics Past Questions For Year 1978
Question 26
A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is
- A. 36\(\pi\)cm2
- B. 54\(\sqrt{3}\)cm2
- C. \(\sqrt{3}\)cm2
- D. \(\frac{1}{x - 1}\)
Question 27
In a soccer competition in one season, a club had scored the following goals: 2, 0, 3, 3, 2, 1, 4, 0, 0, 5, 1, 0, 2, 2, 1, 3, 1, 4, 1 and 1. The mean, median and mode are respectively
- A. 1, 1.8 and 1.5
- B. 1.8, 1.5 and 1
- C. 1.8, 1 and 1.5
- D. 1.51, 1 and 1.8
- E. 1.5, 1.8 and 1
Question 28
If sec\(^2\) \(\theta\) + tan\(^2\) \(\theta\) = 3, then the angle \(\theta\) is equal to
- A. 30o
- B. 45o
- C. 60o
- D. 90o
- E. 105o
Question 29
A hollow right prism of equilateral triangular base of side 4cm is filled with water up to a certain height. If a sphere of radius \(\frac{1}{2}\)cm is immersed in the water, then the rise of water is
- A. 1cm
- B. \(\sqrt{\frac{3\pi}{24}}\)
- C. \(\frac{\pi}{24\sqrt{3}}\)
- D. 24\(\sqrt{3}\)
Question 30
The set of value of x and y which satisfies the equations x²- y - 1 = 0 and y - 2x + 2 = 0 is
- A. 1, 0
- B. 1, 1
- C. 2, 2
- D. 0, 2
- E. 1, 2
