Ratio, proportion and rate - Jamb Mathematics Past Questions and Answers

Question 31:

• JAMB 2002

The time taken to do a piece of work is inversely proportional to the number of men employed. if it takes 45 men to do a piece of work in 5 days, how long will it take 25 men?

A. 15 days
B. 12 days
C. 5 days
D. 9 days

Question 32:

• JAMB 2004

Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction the the third teacher receive?

A. 8/15
B. 11/25
C. 12/25
D. 13/25

Question 33:

• JAMB 2004

A farmer planted 5000 grains of maize and harvested 5000 cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the number harvested?

A. 1 : 250 000
B. 1 : 25 000
C. 1 : 500
D. 1 : 5 000

Question 34:

• JAMB 2005

Three boys shared some oranges. The first received ¹/₃ of the oranges and the second received ²/₃ of the remaining. If the third boy received the remaining 12 oranges, how many oranges did they share

A. 60
B. 54
C. 48
D. 42

Question 35:

• JAMB 2006

If m:n = 13:11, find m\(^2\) - n\(^2\) : (m + n)\(^2\)

A. 1:11
B. 1:13
C. 1:10
D. 1:12