NAME: _________________________________ DATE: _________________

RATION & PROPORTION

1. In a group of children, there are 8 boys and 12 girls.

Write the parts and ratios required. a) What is the ratio of boys to girls? . . . . . . . . . . . . . . . . . . . . . . . . . . b) What part of the group are boys? . . . . . . . . . . . . . . . . . . . . . . . . . . c) What is the ratio of girls to boys? . . . . . . . . . . . . . . . . . . . . . . . . . d) What part of the group are girls? . . . . . . . . . . . . . . . . . . . . . . . . . .

2. Answer the questions by writing a ratio or a fraction, as required. A group of students at a youth camp come from the following countries:

3 are Americans 1 is Greek

4 are British

a) What part of the group is: i) American?. . . . . . . . . . . . . ii) British?. . . . . . . . . . . . . . . . iii) Greek?. . . . . . . . . . . . . . . . iv) European?. . . . . . . . . . . . . b) What is the ratio in the group of: i) American students to British students . . . . . . . . . . . . . . . . . . . . . . ii) American students to Greek students . . . . . . . . . . . . . . . . . . . . . . iii) British students to American students . . . . . . . . . . . . . . . . . . . . . . iv) British students to Greek students . . . . . . . . . . . . . . . . . . . . . . v) Greek students to American students . . . . . . . . . . . . . . . . . . . . . . vi) Greek students to British students? . . . . . . . . . . . . . . . . . . . . . . c) The group is going on a trip in a minibus. They get on the bus in a random order. How certain are you of these events occurring?

If you think that it is certain to happen, write C, if you think that it is possible but not certain, write P and if you think that it is impossible, write I.

i) The first 4 students to get on the bus are American. . . . . . . . . . ii) The last student to get on the bus is American or British or Greek. . . . . . . . . . . iii) The first student to get on the bus is Greek. . . . . . . . . . iv) The first 4 students to get on the bus are an American, a Greek, an American and a British student in that order. . . . . . . . . . v) Two Americans, a British and the Greek student are the first four to get on the bus . . . . . . . . . . . d) i) Which nationality is the most likely to get on the bus first? . . . . . . . . . . ii) Is the first student to get on the bus more likely to be American or British? . . . . . . . .