Mental Math Trainer & Math Practice

Pick what you want to work on and a level, and answer. There is no setup screen and no sign-up: a question is already waiting when the page loads, and pressing Enter both checks your answer and brings up the next one.

Mixed is the best general workout — it draws from addition, subtraction, multiplication, division, fractions and percentages in turn, so you cannot settle into one rhythm. If you are drilling a specific weakness, choose it directly.

The five levels — Beginner, Easy, Medium, Hard and Expert — sit on ten underlying difficulty bands, two per level. That second band is what gives the trainer room to adapt without shifting you somewhere you did not ask to be.

With Adjust difficulty as I go switched on, the last six answers are looked at. Get most of them right and the questions step up by one band; find them hard and they step back. It moves a single band at a time and never leaves the level you chose.

The 60-second sprint and the two-minute challenge are about how many you can get through. Twenty questions is a fixed set. Accuracy ends on your third mistake and streak ends on your first, which changes how you play entirely — speed stops being worth anything.

Practice has no timer and no end. It is the one to use when you are learning something rather than testing it.

Every question can explain itself. Get one wrong and Show working lays out the steps in order — which digits to carry, what to borrow, how a fraction simplifies — rather than just restating the answer.

Some wrong answers are recognised specifically. Answering as though you forgot to carry gets a line about carrying, because that is a more useful thing to be told than “incorrect”.

The place-value abacus holds up to nine beads per column, each column worth ten times the one to its right. It makes place value something you can see: three beads in the tens column are thirty, and the bead has not changed — the column gave it its size.

The soroban works differently. One bead above the reckoning bar is worth five and four below it are worth one each, and a bead only counts when it is pushed toward the bar. That is how a column shows any digit from nought to nine with just five beads, and it is the part that takes a minute to get used to.

Both come with challenges: make a given number, read one off the beads, or work out a sum on them.

Choose a topic, a level and how many questions, and the sheet opens in a new tab ready for your browser’s print dialogue — which can also save it as a PDF. The answer page is optional and starts on a fresh sheet, so the questions can be printed on their own.

This is arithmetic practice and a game. It is not a test, an assessment, or a measure of anybody’s ability, and it does not claim to raise exam results or follow any particular curriculum. Your results describe the round you just played and nothing beyond it.

Is the mental math trainer free?

Yes, entirely, and there is no account. Every question is generated in your browser, so nothing you type is sent anywhere. Your progress, if you switch saving on, is kept on your own device and you can clear it with one button.

What can I practise?

Addition, subtraction, multiplication, division, times tables, fractions, decimals, percentages and order of operations — or a mixed round that draws from all of them, which is the best general workout. Each one runs across five levels from Beginner to Expert.

How does the difficulty work?

The five levels sit on ten underlying bands, two per level. Within your chosen level the trainer nudges questions up or down as you go: six answers are looked at, and a strong run moves you a single band while a weak one moves you back. It never jumps you out of the level you picked.

What are the timed modes?

A 60-second sprint, a two-minute challenge, a fixed 20 questions, an accuracy round that ends on your third mistake, and a streak round that ends on your first. Practice mode has no timer and no end, which is the right one for learning something new.

Can I see how an answer is worked out?

Yes. Get one wrong and Show working lays out the steps in order — carrying, borrowing, simplifying, whichever applies. Hints are available before you answer too, and they escalate gently rather than handing over the answer.

What is the Daily Math?

Ten questions at Medium level, the same for everybody, changing at midnight UTC. You can copy your result to share it: it gives your score, your average time and your best run, and no questions or answers at all.

What is the virtual abacus for?

Two of them, actually. The place-value abacus has nine beads per column and makes place value visible — three beads in the tens column are thirty. The soroban is the Japanese abacus, where one bead above the bar is worth five and four below are worth one each, and beads only count when pushed toward the bar.

Can I print worksheets?

Yes. Choose a topic, a level and how many questions, and the sheet opens in a new tab ready to print or save as a PDF. An answer page is optional and starts on a fresh sheet, so you can print the questions on their own.

Does this measure how good at maths I am?

No, and it is not designed to. It is arithmetic practice and a game — nothing here is a test, an assessment, or a measure of ability. Your results tell you how that round went and nothing more.

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