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ACARA AC9M7N01, Square numbers and square roots

Year 7 ยท Number

Describe how perfect square numbers and square roots are linked, and use squaring and the square roots of perfect squares to solve problems.

Below are free printable maths worksheets that support AC9M7N01. Print them as PDFs, or generate a fresh one. Every maths answer key is computed in code, so it is never wrong.

Teaching guide

What students learn

Describe how perfect square numbers and square roots are linked, and use squaring and the square roots of perfect squares to solve problems.

How to teach it

Show a square number as the area of a square array (3 x 3 = 9), link squaring to its inverse (the square root), and learn the first perfect squares so roots of perfect squares are quick to recall.

Worked example
What is 7ยฒ?
Answer: 49
Why: 7 ร— 7 = 49

Generated and checked in code, so it is correct.

Watch out for

Confusing squaring with doubling (thinking 3 squared is 6), and assuming every number has a whole-number square root.

Square Numbers worksheets

All square numbers worksheets โ†’
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More Year 7 Number codes: AC9M7N02 ยท AC9M7N03 ยท AC9M7N04 ยท AC9M7N05 ยท AC9M7N06 ยท AC9M7N07 ยท AC9M7N08 ยท AC9M7N09
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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.