Table 4 Example questions from the proportional reasoning test
From: Case studies of a robot-based game to shape interests and hone proportional reasoning skills
Version 1 | Version 2 | |
|---|---|---|
Question | Question | |
1) There are 36 poker chips, 12 blue (B) and 24 red (R). | 6) Frances has an enlarging machine that can enlarge or reduce a photograph to any size while keeping the same shape. If an original photograph is 2 in wide by 2.4 in long and Frances wants to enlarge it to be 5 in wide, how long will it be? | |
Arrangement 1 | Arrangement 2 | |
4B 4B 4B | 3B 3B 3B 3B | |
8R 8R 8R | 6R 6R 6R 6R | |
What changed between the first and second arrangements? | ||
What did not change? | ||
Show another arrangement of the poker chips that preserves the same relationship. | ||
5) John is 15 years old. John’s father is now three times as old as John is. | 11) It takes Vanessa 9 h to paint 15 chairs. How long will it take her to paint 20 chairs? | |
How old is John’s father now? | ||
When John is 20, how old will his father be? | ||
14) The ratio of 5 to 4 is the same as: | 13) Which statement is correct? | |
a) The ratio of 6 to 5 | a) 2/5 = 1/4 = 3/6 | |
b) The ratio of 5/4 to 1 | b) 2/5 = 4/25 = 16/625 | |
c) The ratio of 10 to 8 | c) 2/5 = 6/15 = 4/10 | |
d) b and c | ||