Established 2026 · Free Educational Resources for All

Mathematics · Interactive Activity

Squares & Square Roots Speed Race

Beat the clock on squares and square roots. Drag the correct answer into the slot before time runs out, chain correct answers for a streak, and try to beat your own best score.

EDUSAMBAM Editorial Team · Timed · Drag & Drop · Auto-Graded · Last updated: November 2026

Set Up Your Race

Pick a question type, a number range, and a race length, then drag your way through as many questions as you can.

Question Type
Number Range
Race Length

No best score yet for this setup — set the first one!

0
Correct
0
Streak
60
Seconds Left
On Fire!
SQUARE
What is 7²?
Drag the answer here
0
Correct Answers
0
Best Streak
0%
Accuracy
← Back to Powers & Roots

Squares and Square Roots: A Quick Guide

To square a number, multiply it by itself. We write 7² for 7 × 7. A square root goes the other way. It asks which number, multiplied by itself, gives the number under the root sign. Numbers like 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100 are perfect squares.

Three worked examples

Example 1 · Square a number

7² = 7 × 7 = 49. Also 12² = 12 × 12 = 144.

Example 2 · Find a square root

√81 asks which number times itself makes 81. Since 9 × 9 = 81, √81 = 9.

Example 3 · A bigger square

15² = 15 × 15. Split it: 15 × 10 = 150 and 15 × 5 = 75. Then 150 + 75 = 225.

Three common mistakes

Doubling instead of squaring. 7² is 7 × 7 = 49, not 7 × 2 = 14.
Halving for a square root. √36 is not 18. It is 6, because 6 × 6 = 36.
Ignoring the last digit. A perfect square never ends in 2, 3, 7 or 8. So 47 is not a perfect square, because 6² = 36 and 7² = 49.

How to use the race

  1. Choose squares, square roots or mixed, then a number range and a race length.
  2. Drag the correct answer chip into the slot. The wrong answers are close to the right one, so check carefully.
  3. Build a streak of correct answers for the on-fire effect.
  4. Your best score for each setup is kept on this device. Race again to beat it.

Want to learn more? Read Squares, Cubes & Roots and Exponents & Powers, then try the practice test.