Jamb Mathematics 1978 Past Questions and Answers

Question 26:

• JAMB 1978

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 27:

• JAMB 1978

A triangle has angles 30o, 15o and 135o. The side opposite to the angle 30o is length 6cm. The side opposite to the angle 135o is equal to

A. 12cm
B. 6cm
C. 6\(\sqrt{2}\)cm
D. 12\(\sqrt{2}\)cm

Question 28:

• JAMB 1978

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 29:

• JAMB 1978

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 30:

• JAMB 1978

If sec² \(\theta\) + tan² \(\theta\) = 3, then the angle \(\theta\) is equal to

A. 30^o
B. 45^o
C. 60^o
D. 90^o
E. 105^o