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Free tool · Quizzes and practice

Square Roots Quiz Generator

Make a square roots quiz: perfect squares, estimating which whole numbers a root lies between, and simplifying surds, with the working shown.

  • Free
  • No sign-up to try
  • Works as you type
Difficulty

Preview: 10 questions

  1. 1. What is √81?

  2. 2. What is √4?

  3. 3. What is √36?

  4. 4. What is √36?

  5. 5. What is √121?

  6. 6. What is √9?

  7. 7. What is √81?

  8. 8. What is √9?

  9. 9. What is √25?

  10. 10. What is √16?

Free, no sign-up to try. Your quiz becomes a Room you can edit, publish and share.

See a worked example

How it works

How the Square Roots Quiz Generator works

  1. 1

    Pick skills and difficulty

    Choose the skills to practise, how hard, and how many questions.

  2. 2

    Try it here

    The quiz appears as you choose. Answer a few and check them to see the worked solutions.

  3. 3

    Create the Room

    One click makes it a quiz Room with a tutor that gives hints. Publish it and share the link.

Worked example

What it makes

Three questions from a easier quiz on square roots and surds, with the answers and worked solutions the quiz shows after checking.

  1. 1. What is √81?

    Options: 10 · 9 · 18 · 7

    Answer: 9

    9 × 9 = 81, so √81 = 9.

  2. 2. What is √4?

    Options: 5 · 2 · 1 · 4

    Answer: 2

    2 × 2 = 4, so √4 = 2.

  3. 3. What is √36?

    Options: 6 · 18 · 12 · 7

    Answer: 6

    6 × 6 = 36, so √36 = 6.

Who it's for

Who uses it

  • Teachers

    Warm-ups on squares and roots.

  • Learners

    Learn the squares up to 25 × 25 by using them.

  • Tutors

    Introduce surds once the squares are secure.

Good to know

What to consider

  • Estimates are given as the two whole numbers a root lies between, not as decimals.
  • Surds are in simplest form, using the largest square factor; a partly simplified surd is marked wrong.
  • Levels are difficulty bands, not school grades or a curriculum.

Questions

About the Square Roots Quiz Generator

Does it include cube roots?

Not yet: square roots only.

How do I know the answers are right?

The questions are computed, not written by AI: each answer is worked out with exact arithmetic and checked again by a separate solver in our tests. Every question shows its worked solution after the learner checks their answers.

Can my students use it without an account?

Yes. Publish the Room and share the link: anyone with it can take the quiz, check their answers and read the worked solutions. You need a free account to keep and publish the Room.

Make your quiz now

Free, no sign-up to try. It becomes a Room you can edit, publish and share.

Create my quiz

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