Jamb Mathematics Past Questions For Year 1978
Question 21
A man runs a distance of 9km at a constant speed for the first 4 km and then 2 km\h faster for the rest of the distance. The whole run takes him one hour. His average speed for the first 4 km is
- A. 6 km/h
- B. 8 km/h
- C. 9 km\h
- D. 11 km\h
- E. 13 km\h
Question 22
A pyramid is constructed on a cuboid. The figure has
- A. twelve faces
- B. thirteen vertices
- C. fourteen edges
- D. fifteen edges
- E. sixteen edges
Question 23
In a geometric progression, the first term is 153 and the sixth term is \(\frac{17}{27}\). The sum of the first four terms is
- A. \(\frac{860}{3}\)
- B. \(\frac{680}{3}\)
- C. \(\frac{608}{3}\)
- D. \(\frac{686}{3}\)
Question 24
An arithmetic progression has first term 11 and fourth term 32. The sum of the first nine terms is
- A. 351
- B. 531
- C. 135
- D. 153
Question 25
A triangle has angles 30°, 15° and 135°. The side opposite to the angle 30° is length 6cm. The side opposite to the angle 135° is equal to
- A. 12cm
- B. 6cm
- C. 6\(\sqrt{2}\)cm
- D. 12\(\sqrt{2}\)cm