Processing Speed
Arithmetic Fluency Task
Also called: timed arithmetic task, speeded arithmetic test
Measure how quickly and accurately people solve single-digit addition, subtraction and multiplication in timed blocks.
4-5 minTimed: desktop or laptop with a mouse or trackpad
Free to start: 10 free participants per account, then $0.99 per participant for academic research, or any yearly plan. Preview any test free after you sign up.
- Papers, 2021 to 2025
- 485
- Evidence grade
- B
- Registered clinical studies
- 100
What it measures
Measures how quickly and accurately people solve simple arithmetic. Single-digit addition, subtraction and multiplication problems appear one at a time in three timed blocks, one per operation, and participants type each answer.
Constructs
- Arithmetic fact retrieval
- Processing speed
- Numerical cognition
Research uses
- Numerical cognition and education research
- Processing speed in aging and intervention studies
- Within-study group comparison
How the paradigm works
The arithmetic fluency task measures how quickly and accurately people solve simple arithmetic. Problems appear one at a time, and participants type each answer and press Enter. There are three timed blocks, one each for addition, subtraction and multiplication, of 60 seconds each by default. Problems follow one another until the block's time is up, the format of one-minute-per-operation fluency tests. Block order is one of the six possible orders, drawn from the session's random seed and recorded.
More about the paradigm
The problems are generated by rule: every single-digit problem with numbers from 2 to 9. Subtraction problems are the inverses of the addition problems (13 - 6 from 6 + 7), so no answer is negative, zero or one. Problems run in a recorded random order, each once before any repeats, and no two problems in a row share an answer. Practice has 6 problems with feedback and no time limit.
The main score is correct answers per minute of block time, so different block lengths stay comparable. Accuracy is the share of submitted answers that were correct; a problem cut off when time runs out is not counted. Both are also reported for each operation, with the median response time of correct answers. Answers submitted under 100 ms count as anticipations, not correct answers. Scores support research and do not diagnose.
Scores
- Correct per Minutecorrect/min
- Correct answers divided by the minutes of block time.
- Higher is better
- Accuracy%
- Share of submitted answers that were correct.
- Higher is better
- Median Correct RTms
- Median time from problem onset to the Enter press, over correct answers.
- Lower is faster
- Addition per Minutecorrect/min
- Correct answers per minute in the addition block.
- Higher is better
- Subtraction per Minutecorrect/min
- Correct answers per minute in the subtraction block.
- Higher is better
- Multiplication per Minutecorrect/min
- Correct answers per minute in the multiplication block.
- Higher is better
- Addition Accuracy%
- Share of submitted addition answers that were correct.
- Higher is better
- Subtraction Accuracy%
- Share of submitted subtraction answers that were correct.
- Higher is better
- Multiplication Accuracy%
- Share of submitted multiplication answers that were correct.
- Higher is better
- Total Correctcount
- Correct answers across the three blocks.
- Higher is better
- Errorscount
- Submitted answers that were wrong or came under 100 ms.
- Lower is better
Use and evidence
485 papers from 2021 to 2025 name this task in their title or abstract, up 12% compared with 2016 to 2020. That ranks it 52 of 395 test families in our census. See the counts for every test.
Show the numbers
| Year | Papers |
|---|---|
| 2025 | 114 |
| 2024 | 106 |
| 2023 | 87 |
| 2022 | 82 |
| 2021 | 96 |
| 2020 | 96 |
| 2019 | 105 |
| 2018 | 90 |
| 2017 | 74 |
| 2016 | 69 |
| 2015 | 72 |
| 2014 | 61 |
| 2013 | 67 |
| 2012 | 46 |
| 2011 | 38 |
| 2010 | 45 |
| 2009 | 51 |
| 2008 | 39 |
| 2007 | 49 |
| 2006 | 27 |
| 2005 | 39 |
| 2004 | 25 |
| 2003 | 26 |
| 2002 | 35 |
| 2001 | 25 |
| 2000 | 21 |
Use grade B
300 to 999 papers from 2021 to 2025.
Evidence grade B
At least 8 test-retest papers, and either 5 registered clinical studies or 150 reliability or validity papers.
- Papers on test-retest reliability
- 22
- Papers on reliability or validity
- 156
- Registered clinical studies using it as an outcome
- 100
How the grades work
Use: A is 1,000 or more papers from 2021 to 2025, B 300 to 999, C 100 to 299, D 30 to 99 and E fewer than 30. Evidence: A means at least 25 papers report its test-retest reliability and at least 25 registered clinical studies use it as an outcome; B, at least 8 test-retest papers, and either 5 registered clinical studies or 150 reliability or validity papers; C, at least 2 test-retest papers, 30 reliability or validity papers or 3 registered clinical studies; D, little published measurement evidence found. The counts measure use. They include every paper that names the task in its title or abstract. Grades describe the published research on this task, not ConductCognition's version of it.
Source: ConductCognition test census 0.14.0, counted 31 October 2026 from OpenAlex and ClinicalTrials.gov.
Task design
The trial sequence as the test runs in ConductCognition.
- Problems
- Every single-digit addition, subtraction and multiplication problem with numbers from 2 to 9. Subtraction problems are the inverses of the addition problems (13 - 6 from 6 + 7).
- Blocks
- One block per operation, each 60 seconds (standard; 30 to 120), in one of the six orders, drawn from the session's seed.
- Answers
- Typed with the number keys and submitted with Enter; Backspace corrects. Problems follow one another until the block's time is up.
- Order
- Each problem appears once before any repeats, and no two problems in a row share an answer.
- Practice
- 6 problems with feedback for 1,000 ms and no time limit.
The problems are generated by rule for this task; no published test form is used. Scores are per minute of block time, so block lengths can be compared.
Quality checks
Each session is marked valid, needs review or invalid, with the reason, before you see its scores.
Scored rows: arithmetic_fluency_test from the scored run, typed answers to single-digit problems in timed blocks. Typed answers have no chance level, so accuracy is not judged against chance, and a problem cut off when a block's time runs out is not a missed response. No answers at all invalidate. The same answer on 90% of at least 12 answers invalidates. More than max(2, 20%) answers submitted under 100 ms invalidate; any is flagged. Accuracy below 50% over at least 10 answers is flagged for review.
Why these rules
There is no correct option to compare with chance, so accuracy is not judged against chance. Answers vary from problem to problem and no two problems in a row share one, so one answer on nearly every problem cannot follow the problems. An answer typed and submitted within 100 ms of the problem cannot be a reaction to it. Single-digit problems are answered with high accuracy (third and fourth graders' mean accuracy on single-digit addition and subtraction was 91% and 97% in Vanbinst et al. 2016), so accuracy below 50% suggests the answers did not follow the problems; it is flagged, not invalidated, because there is no chance level to test against.
Running this test
Settings you can change
| Setting | Standard | Allowed |
|---|---|---|
| Block length (seconds) | 60 | 30 to 120 |
Yearly plans can change settings within these limits. Free and pay-as-you-go studies use the standard settings.
Need a setting this test does not have?
Devices and languages
- Timed test: participants need a desktop or laptop with a mouse or trackpad. Participant devices
- Languages: English, Spanish, French, German, Italian, Portuguese (Brazil), Chinese (Simplified) and Japanese.
- Available on: Every plan, including the free plan.
- Recruiting online? See the setup guides for Prolific, Sona Systems, CloudResearch Connect and Qualtrics.
Cite and describe
Participants completed the Arithmetic Fluency Task in a web browser (ConductCognition task version 1.0.0, scoring version 1.0.0; Vanbinst et al., 2016), with the standard settings (block length (seconds): 60). The main score was correct per minute (correct answers divided by the minutes of block time).
ConductCognition versions: task version 1.0.0, scoring version 1.0.0. Every export records the versions each session used, for a methods section.
- Vanbinst, K., Ansari, D., Ghesquière, P., & De Smedt, B. (2016). Symbolic numerical magnitude processing is as important to arithmetic as phonological awareness is to reading. PLOS ONE, 11(3), e0151045. https://doi.org/10.1371/journal.pone.0151045
- Campbell, J. I. D., & Xue, Q. (2001). Cognitive arithmetic across cultures. Journal of Experimental Psychology: General, 130(2), 299-315. https://doi.org/10.1037/0096-3445.130.2.299
Source papers
- Vanbinst K, Ansari D, Ghesquière P, De Smedt B (2016). Symbolic numerical magnitude processing is as important to arithmetic as phonological awareness is to reading. PLOS ONE, 11(3):e0151045.Paradigm source, Children
- Campbell JID, Xue Q (2001). Cognitive arithmetic across cultures. Journal of Experimental Psychology: General, 130(2):299-315.Paradigm source, Adults
Questions
How long does the Arithmetic Fluency Task take?
About 4 to 5 minutes, as listed in the test library.
What device does a participant need?
Timed test: participants need a desktop or laptop with a mouse or trackpad. The browser must be Chrome, Edge, Firefox or Safari.
What scores does it produce?
Correct per Minute, Accuracy, Median Correct RT, Addition per Minute, Subtraction per Minute, Multiplication per Minute, Addition Accuracy, Subtraction Accuracy, Multiplication Accuracy, Total Correct and Errors. Each session is also marked valid, needs review or invalid, with the reason.
How widely is the Arithmetic Fluency Task used in research?
485 papers from 2021 to 2025 name it in their title or abstract, up 12% compared with 2016 to 2020. That ranks it 52 of 395 test families in the ConductCognition test census (use grade B). Source: ConductCognition test census 0.14.0, counted 31 October 2026 from OpenAlex and ClinicalTrials.gov.
How much reliability evidence does the Arithmetic Fluency Task have?
In the published research, 22 papers report its test-retest reliability and 100 registered clinical studies use it as an outcome (evidence grade B in the ConductCognition test census).
Which settings can a researcher change?
Block length (seconds) (30 to 120). Settings can be changed on yearly plans; free and pay-as-you-go studies use the standard settings.
Which languages can participants use?
Participants can take this test in English, Spanish, French, German, Italian, Portuguese (Brazil), Chinese (Simplified) and Japanese. English is on every plan, and the other languages come with yearly plans. Have a native speaker read the machine-translated text before launch.
Is this a clinical test?
No. ConductCognition is for research use only. It runs, scores and exports the test; clinical interpretation is outside the platform.
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