Here the 3-item CRT test for ‘cognitive reflection’ developed at Princeton. Average Carnegie Mellon and Harvard undergraduate scores for this test range from 1.4-1.5 out of 3! The answers can be found in the comments below. Please add your own comments letting others know how you got on with this test.
Cognitive Reflection Test (CRT)
Are you ready….
Take your time…
(1) A bat and a ball cost $1.10 in total. The bat costs $1.00 more than the ball.
How much does the ball cost? _____ cents
(2) If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets? _____ minutes
(3) In a lake, there is a patch of lily pads. Every day, the patch doubles in size.
If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake? _____ days
The Cognitive Reflection Test has a large correlation with IQ. But it is designed to measure the tendency to override automatic problem solving responses that are incorrect and to use your meta-awareness to double check your thoughts and find the correct response. For this reason, how people do on the CRT can be a good predictor of how well people do in overcoming cognitive biases – of which there are many that we may be susceptible to on a day-by-day basis (Ref).
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