Fact Retrieval test online: recall arithmetic facts

A simple sum or product appears and you type the answer. The time that counts is the time to your first key, which hints at whether the fact was simply there or had to be worked out.

Start the Fact Retrieval test

90 problems · about 5 min · keyboard or number pad

After problem 90 you see your speed and accuracy, and a free account keeps them for later.

6 × 7 = 4 1 2 3 4 5 6 7 8 9 0 4
6 × 7: the clock stops at the 4Scored block · timed to the first key

How it works

4 practice problems, a 3-second countdown, then 90 scored problems with no time limit on any of them. About 5 minutes in all.

  1. 1 · Each problem

    Type the answer

    A + sign shows for half a second, then the problem. Type the answer and press Enter; Backspace fixes a slip. Your digits appear after the = sign as you type.

  2. 2 · What is timed

    Your first key

    The main time runs from the moment the problem appears to your first digit. The time to Enter is stored too, but the results use the first key.

  3. 3 · Before the count

    4 practice problems

    2 + 3, 4 × 5, 7 + 1 and 3 × 3. They are not scored and show no right or wrong, so use them to find the keys.

  4. 4 · The 90 problems

    Every single-digit fact

    45 additions and 45 multiplications: every pair of numbers from 1 to 9, smaller number first, in a new random order each time.

On a phone or tablet a number pad with a delete key and Enter appears at the bottom of the screen. A tap counts from the moment your finger lands, so taps are timed the same way as key presses, and your saved result notes which of the two you used.

Answers are not marked while you work. An answer counts as correct only when the number matches exactly, and Enter does nothing until you have typed at least 1 digit. A progress bar along the top shows how far you have come.

What it measures

Every fact here is taught early in school. What differs between adults is how automatically each one comes back.

Retrieval speed

  • How quickly a single-digit fact comes to mind, timed to your first key.
  • Addition and multiplication measured apart, with accuracy for each.
  • Slow answers: how many correct answers took more than 3 seconds to start.

Recall or calculation

  • The problem-size slope: how much each step up in size adds to your time.
  • Whether facts like 8 × 7 or 9 + 8 slow you down more than 2 × 3 or 2 + 1.
  • Typing speed and familiarity with the keyboard or pad, which sit inside every time.

When a fact is stored, small and large problems come back at similar speeds. When it is rebuilt by counting or from a nearby fact, larger problems cost more (Zbrodoff and Logan, 2005). Facts also share digits and overlap with each other, and that overlap can cause interference, one proposed reason some people struggle to store them (De Visscher and Noël, 2014).

Timing is the point of this task. In children with severe fact-retrieval difficulties, the problem would not have shown up on standard untimed maths tests (Geary et al., 2012). Paper versions time a whole page instead: the Math4Speed sheet allows 2 minutes for each of 4 operations and was tried with 1,165 young adults in 6 European countries (Loenneker et al., 2025).

A test, not a diagnosis.

Retrieval speed from one sitting is a description, not a diagnosis. It cannot confirm or exclude dyscalculia or anything else.

What you get

Your results appear once problem 90 is answered.

On the result screen

  • A headline from your speed and slope, with a marker for your mean time on a 0 to 5 second bar.
  • Accuracy, mean time to first key and the count of slow answers over 3 seconds.
  • Time and accuracy for addition and for multiplication, and a problem-size slope for each in milliseconds per step.
  • A data panel with median times and times for small, medium and large facts, plus a CSV download.

When you keep it

  • A free account saves the result so it opens again from any device.
  • It joins your other number tasks in your results, so recall can be set beside number sense.
  • The next test is suggested straight away.

How this version is scored

The test stores each typed answer with its 2 times. Everything on the result screen comes from the 90 scored problems.

Correct answer
The number you entered equals the answer. There is no partial credit, and the 4 practice problems are left out.
Mean time
The average time from the problem appearing to your first digit, over correct answers only.
Slow answers
Correct answers whose first digit came more than 3 seconds after the problem appeared.
Problem-size slope
A straight line fitted through your times against problem size, for each operation, in milliseconds per step. Size is the sum for addition and the product for multiplication. The slope needs at least 5 correct answers.
Headline
Under 50% correct the times are not scored, and from 50% to under 70% the screen asks you to read them with caution. Otherwise the headline follows the weaker of 2 readings: mean time (under 1.5 s, under 3 s, or 3 s and over) and the average of the 2 slopes (under 30, under 60, or 60 ms per step and over).

Why the first key. Some answers have 1 digit and some have 2. Timing the first key keeps the time spent typing the rest out of the comparison between small and large facts.

Cut-offs, not norms. The 1.5 s and 3 s marks and the slope bands are the test's own design. Published adult times come mostly from spoken answers, so they do not convert to a typed version, and the screen gives no percentile.

Before you start

Retrieval times are short, so small distractions show up clearly.

For a cleaner attempt

  • On a computer, keep a hand over the number keys you type fastest with.
  • On a phone, hold it so your thumb reaches the whole pad.
  • Answer from memory; counting on your fingers changes what the times show.
  • Stay on the tab to the end, since the 90 problems run without a break.

Interpret cautiously when

  • You were tired, distracted, unwell or in a hurry.
  • Typing digits is slow for you, or you rely on motor-access tools.
  • Being timed on maths makes you tense; maths anxiety alone can lower how well people do (Ashcraft and Moore, 2009).
  • You learned your tables in another language, or drilled them just before the test.

Questions

What does a fact retrieval test measure?

It measures how automatically you recall basic arithmetic facts such as 6 × 7 or 8 + 5. Speed to the first key is the main measure, alongside accuracy. The problem-size slope adds a hint about strategy: a flat slope fits recall, a steep one fits working answers out.

How fast should I recall times tables and sums?

There is no adult norm for this typed version. The result screen reads a mean time under 1.5 seconds to the first key as quick and 3 seconds or more as slow, and those cut-offs are design choices rather than published values. Comparing your addition and multiplication times with each other is often as telling as any cut-off.

Can I get faster at maths facts?

Basic-fact fluency has been the target of enough practice studies, mostly with school pupils, to be pooled in a meta-analysis (Codding et al., 2011). Retaking this test soon also brings a practice effect of its own, so leave time between attempts if you want to compare them.

Does it work on a phone?

Yes. A number pad with delete and Enter appears at the bottom of the screen. Your saved result notes whether you tapped or typed, so if you take it twice, compare attempts made the same way.

Sources