Cognitive Reflection Test Practice Test

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Free Cognitive Reflection Test Practice PDF

The Cognitive Reflection Test (CRT) is a brief psychological assessment designed to measure a person's tendency to override an initial intuitive response and engage in deeper analytical thinking. Developed by psychologist Shane Frederick and published in the Journal of Economic Perspectives in 2005, the original CRT consists of just three questions, each crafted so that the "obvious" intuitive answer is incorrect โ€” and only deliberate, reflective reasoning leads to the right solution. The CRT has become one of the most widely cited instruments in behavioral economics and decision science research, used to predict everything from susceptibility to cognitive biases to performance on financial literacy tasks.

Our free CRT practice PDF includes the classic original three-item test alongside expanded question sets drawn from validated CRT extensions. Practicing with these problems helps you recognize the mental habits that lead to fast, intuitive errors, and builds the reflective thinking skills that improve rational decision-making in real-world contexts. Download the PDF below to work through CRT problems at your own pace, review your answers, and understand the cognitive mechanisms behind each question.

The Original CRT: Bat and Ball, Machines, and Lily Pads

The three items in Frederick's original Cognitive Reflection Test are elegantly simple in appearance but deliberately deceptive in structure. The bat-and-ball problem states: "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?" The intuitive answer โ€” 10 cents โ€” is wrong. If the ball costs 10 cents and the bat costs $1.00 more, the bat costs $1.10, making the total $1.20, not $1.10. The correct answer is 5 cents. The machines-and-widgets problem reads: "If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?" The intuitive guess of 100 minutes is incorrect; since each machine makes one widget in 5 minutes, 100 machines working in parallel still take just 5 minutes. The lily-pads problem asks: "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?" Most people say 24 days โ€” intuitively splitting the time in half โ€” but the correct answer is 47 days, because the patch doubles on the last day from half the lake to the full lake. These three problems collectively measure reflective thinking with remarkable efficiency.

System 1 vs. System 2 Thinking โ€” Kahneman's Framework

The CRT is grounded in the dual-process theory of cognition popularized by Nobel laureate Daniel Kahneman in his influential book "Thinking, Fast and Slow." System 1 thinking is fast, automatic, associative, and largely unconscious โ€” it produces immediate intuitive responses based on heuristics and pattern recognition. System 2 thinking is slow, deliberate, effortful, and rule-based โ€” it engages when we need to perform logical calculations, evaluate arguments, or override instinctive responses. The CRT specifically targets the interface between these two systems by constructing problems where System 1 reliably generates a plausible but incorrect answer. Individuals who score high on the CRT tend to notice the conflict between their initial intuition and the demands of the problem, slow down, and apply System 2 analysis. Low scorers either do not detect the conflict or do not make the effort to override their first impulse. Research consistently finds that CRT performance predicts a broad range of cognitive outcomes, including performance on logical reasoning tasks, resistance to framing effects, and lower rates of conjunction fallacy errors. High CRT scorers also tend to perform better on tasks requiring probabilistic reasoning and are less susceptible to the gambler's fallacy.

CRT-Expanded Versions and Validated Extensions

Because the original three-item CRT became so widely known โ€” especially in academic and research contexts โ€” respondents familiar with the questions could answer correctly from memory rather than reasoning, undermining the test's validity in replication studies. This motivated researchers to develop expanded CRT versions. Toplak, West, and Stanovich published the CRT-2 (also called the CRT Extended) in 2014, adding four new items that preserved the same intuition-override structure without using the original three questions. Shefrin and colleagues developed additional variants, and the CRT-Long (CRT-L) and CRT-Derivative (CRT-D) versions have been validated in published research. These extended versions allow researchers to assess cognitive reflection in samples where the original items may already be known, and they tend to show similar construct validity โ€” correlating with numeracy, need for cognition, and rational-experiential thinking style. For test-takers, practicing with both the original and expanded CRT items provides a more comprehensive workout of reflective thinking skills than the classic three questions alone.

CRT Scores, Financial Literacy, and Behavioral Economics Applications

The CRT's predictive power extends well beyond the laboratory. Frederick's original 2005 paper demonstrated that CRT scores predicted performance on a variety of decision-making tasks, including standard measures of risk aversion, time preferences, and susceptibility to cognitive heuristics. Subsequent research has established strong correlations between CRT performance and financial literacy. High CRT scorers demonstrate better understanding of compound interest, investment risk, and insurance decisions, and they are less likely to fall victim to predatory financial products or high-fee investment vehicles. In behavioral economics research, the CRT is commonly used to categorize participants into "intuitive" and "reflective" thinkers, enabling researchers to test whether cognitive style moderates responses to nudges, defaults, and framing effects. Marketing researchers have used CRT scores to study how analytical versus intuitive consumers respond to persuasion techniques, price bundling, and product attribute framing. The test has also been applied in clinical psychology to study cognitive reflection in populations with ADHD, autism spectrum disorder, and depression, where differences in System 1/System 2 balance may manifest in distinct decision-making profiles. The practical implication for individuals is clear: developing the habit of pausing before accepting an intuitive answer โ€” what some researchers call "cognitive reflection training" โ€” can improve the quality of decisions across personal finance, health, and professional domains.

Start Practice Test
Work through all three original CRT problems (bat-and-ball, machines-and-widgets, lily-pads) without looking up answers
Review Kahneman's dual-process theory โ€” understand the properties and limits of System 1 vs System 2 thinking
Study why the intuitive (wrong) answers for each CRT item feel compelling and identify the reasoning flaw
Practice CRT-2 and CRT Extended items to build reflective thinking habits beyond the famous originals
Learn the conjunction fallacy, framing effect, gambler's fallacy, and how CRT scores predict resistance to each
Understand how CRT correlates with financial literacy and rational decision-making in real-world contexts
Read summary of behavioral economics applications of CRT in nudge design and consumer decision research
Time yourself on CRT questions to practice recognizing when you are accepting an intuitive answer too quickly
Study the scoring and interpretation of CRT results: 0, 1, 2, or 3 correct and what each level predicts
Review published CRT research (Frederick 2005, Toplak et al. 2014) for context on psychometric validity
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Practice Online with CRT Questions

Ready to test your reflective thinking skills interactively? PracticeTestGeeks offers online Cognitive Reflection Test practice questions with timed sessions, answer explanations, and scoring feedback. Online practice helps you track your performance across multiple attempts and observe whether deliberate practice improves your cognitive reflection score over time.

Pros

  • Validates your knowledge and skills objectively
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  • Networking opportunities with other certified professionals

Cons

  • Study materials can be expensive
  • Exam anxiety can affect performance
  • Requires dedicated preparation time
  • Retake fees apply if you don't pass

What is the correct answer to the bat-and-ball CRT problem?

The correct answer is 5 cents. The bat-and-ball problem states that a bat and a ball cost $1.10 total, and the bat costs $1.00 more than the ball. If you let the ball cost X cents, then the bat costs X + 100 cents. Together they must equal 110 cents: X + (X + 100) = 110, so 2X = 10, meaning X = 5. The ball costs 5 cents and the bat costs $1.05, totaling $1.10. The intuitive answer of 10 cents is incorrect because it ignores the constraint that the bat must cost $1.00 MORE than the ball โ€” not simply $1.00.

What does a high CRT score indicate about a person's thinking?

A high CRT score (2 or 3 out of 3 on the original test) indicates that the person tends to engage in reflective, analytical thinking rather than accepting the first intuitive answer that comes to mind. High CRT scorers are more likely to detect when their initial intuition is wrong and invest cognitive effort to reason through to the correct answer. Research shows high scorers also perform better on financial literacy tasks, resist cognitive biases such as the conjunction fallacy more effectively, and make more consistent choices in economic decision-making experiments.

How many questions are in the original CRT and what are they?

The original Cognitive Reflection Test developed by Shane Frederick contains exactly three questions: (1) the bat-and-ball problem about a bat and ball costing $1.10 total with the bat costing $1.00 more than the ball; (2) the machines-and-widgets problem about how long 100 machines take to make 100 widgets if 5 machines take 5 minutes to make 5 widgets; and (3) the lily-pads problem about how long it takes a doubling lily pad patch to cover half a lake if it covers the full lake in 48 days. Each question has an intuitive wrong answer and a correct answer that requires deliberate calculation.

Are there expanded versions of the CRT beyond the original 3 questions?

Yes. Because the original three CRT items became widely known, researchers developed validated extended versions to use with participants who may have prior exposure. Toplak, West, and Stanovich published the CRT-2 (CRT Extended) in 2014 with four new items preserving the same intuition-override structure. Additional variants including the CRT-Long (CRT-L) and CRT-Derivative (CRT-D) have been validated in published research. These extended CRT versions show similar construct validity โ€” correlating with numeracy, cognitive ability, and rational thinking style โ€” and are now commonly used in behavioral science research where the original questions are already known to participants.
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