Math Processing Task

Processing Speed Duration: ~10 minutes
Math Processing Task screenshot

Description

A timed arithmetic verification task based on the UTC test battery. Participants solve simple addition and subtraction problems and judge whether the answer is greater or less than 5.

Measures: Arithmetic processing speed, mental calculation accuracy

Processing Speed Arithmetic

About This Test

Participants see arithmetic expressions (e.g., 3 + 4 - 2 =) and must quickly determine whether the result is less than or greater than 5. Problem complexity varies across blocks (2, 3, or 4 operations). Each block has a time limit (default 3 minutes) and per-problem deadline. Measures arithmetic processing speed and accuracy.

Test Details

Test ID:
mathproc
Main File:
mathproc.pbl
Parameters:
17 configurable parameters
17 configurable parameters available
Languages:
German English Spanish French Italian Dutch Portuguese

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Scientific Background

Original Task References:

These references describe the original task that this PEBL implementation is based on.

  • Perez, W. A., Masline, P. J., Ramsey, E. G., & Urban, K. E. (1987). Unified tri-services cognitive performance assessment battery: Review and methodology (DTIC/TR-87-007). Armstrong Aerospace Medical Research Laboratory.

PEBL-Specific References:

These studies used the PEBL version of this task.

  • Mueller, S. T. (2012). The PEBL Math Processing Task. Computer software retrieved from http://pebl.sf.net/battery.html

Data Output

The task produces a trial-by-trial CSV file and a text report with accuracy and RT by problem length.

Output File:
mathproc-{subnum}.csv
Format:
CSV

Example Data

example-data.csv Primary

Trial-by-trial data for each math problem

subnumtrialfeedbackvallengthstimsumrespcorrtooslowtimert
example11422|24< 51038931974
example21826|28> 51040240603
example31223|-12< 51041612666
example41624|26> 51042953636
example51127|-61< 51044353694
example61924|59> 51045670613
example71726|17< 50046904528
example81327|-43< 51048253641
example91423|14< 51049516558

View full file (264 rows) →

example-report.txt Summary

Summary statistics: trials, accuracy, RT, and errors by problem length

----------------------------------------------
Summary for the PEBL Mathematical Processing Task
Tue Mar 31 19:40:04 2026
PEBL Version 2.4
----------------------------------------------
Participant code: example
Time per block: 180 s
----------------------------------------------
Length              2    3    4
Number of trials    125    84    54
Total Correct       101    72    41
Total Errors        24    12    13
Total Too slow      2    0    2
Proportion Correct  0.808    0.857143    0.759259
RT Mean             741.384    1443.27    2636.78
RT Median           692    1406.5    2586.5
----------------------------------------------

Sample data showing typical output format. Actual values will vary by participant.

About This Test

A timed arithmetic verification task based on the UTC test battery. Participants solve simple addition and subtraction problems and judge whether the answer is greater or less than 5.

Category: Processing Speed
Estimated Duration: 10 minutes
Available Translations: 7 languages

Documentation Status: Complete