Fraction Addition & Subtraction
Practice fraction addition and subtraction with a free, browser-based math game. Includes step-by-step strategy, common mistakes, and classroom tips.
MathPowers & Square Roots
An exponent is repeated multiplication; a square root asks the same question backwards. Below: both directions and the mistake that costs most points.
Choose your difficulty
Pick a level to start playing. You can switch at any time.
How to play
Work out the power or the square root, then tap the correct value.
Tip: your progress and best score are saved in this browser only.
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MathWhat you are actually practicing
An exponent is repeated multiplication written compactly: 4^3 means 4 × 4 × 4, which is 64. A square root asks the question backwards — √64 means "what number, multiplied by itself, gives 64?" and the answer is 8.
This game trains both directions, and the pairing matters. Students who can compute powers but cannot recognise perfect squares lose time on both, because the two skills share the same underlying table. Every root in this game is exact, so there is never a decimal to estimate.
How the game works
One expression at a time, four choices, a countdown. A correct answer scores points and moves on; a wrong answer reveals the correct one. Your score and best score stay in this browser only.
Easy uses squares and small bases. Medium adds cubes. Hard adds larger roots, so the perfect-square table has to be genuinely known rather than worked out.
Strategies that actually move your score
Learn the square numbers to at least 12². 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144. Recognising these turns every square-root problem into recall.
For a cube, multiply in two steps. 6^3 is 6 × 6 = 36, then 36 × 6 = 216. Splitting it avoids holding three factors at once.
Estimate the size before committing. 7^2 must be under 100 and 7^3 must be a few hundred. An answer in the thousands has an extra factor somewhere.
Check the last digit for squares. A perfect square can only end in 0, 1, 4, 5, 6, or 9. An option ending in 2, 3, 7, or 8 is never a square.
Common mistakes, and the fix for each
Mistake: multiplying by the exponent instead of by the base. 4^3 answered as 12 means you computed 4 × 3. The fix is to say "three fours" rather than "four times three."
Mistake: halving instead of taking a root. √64 answered as 32 means you divided by 2. The fix is to ask what multiplies by itself.
Mistake: losing a factor on cubes. 5^3 is 125, not 25. The fix is the two-step multiply, which makes the count explicit.
A short, honest FAQ
Do I need to install anything? No. It runs in any modern browser.
Are all the roots exact? Yes. Every square root here is a perfect square, so answers are always whole numbers.
What age is it for? Roughly grades 6 through 9.