Jamb Mathematics Past Questions For Year 1981
Question 1
Suppose x varies inversely as y, y varies directly as the square of t and x = 1, when t = 3. Find x when t = \(\frac{1}{3}\).
- A. 81
- B. 27
- C. \(\frac{1}{9}\)
- D. \(\frac{1}{27}\)
- E. \(\frac{1}{81}\)
Question 2
If sine x equals cosine x, what is x in radians?
- A. \(\frac{\pi}{2}\)
- B. \(\frac{\pi}{3}\)
- C. \(\frac{\pi}{4}\)
- D. \(\frac{\pi}{6}\)
- E. \(\frac{\pi}{12}\)
Question 3
The ratio of the price of a loaf of bread to the price of a packet of sugar in 1975 was r : t. In 1980, the price of a loaf went up by 25% and that of a packet of sugar went up by 10%. Their new ratio is now
- A. 40r:50t
- B. 44r : 50t
- C. 50r : 44t
- D. 44r:55t
- E. 55r:44t
Question 4
Find a two-digit number such that three times the tens digit is 2 less than twice the units digit and twice the number is 20 greater than the number obtained by reversing the digits
- A. 24
- B. 42
- C. 74
- D. 47
- E. 72
Question 5
Find the value of x satisfying \(\frac{x}{2}\) - \(\frac{1}{3}\) < \(\frac{2x}{5}\) + \(\frac{1}{6}\)
- A. x < 5
- B. x < 7\(\frac{1}{2}\)
- C. x > 5
- D. x > 7\(\frac{1}{2}\)