Mathematics·Number Representation & Place Value·procedural
Square and cube numbers
Use integer powers and associated real roots (square, cube, and higher); recognise powers of 2, 3, 4, and 5; distinguish between exact representations of roots and their decimal approximations
Suggested ages 11–14
Evidence of understanding
- Calculate squares, cubes, and higher integer powers of whole numbers
- Find square roots and cube roots of perfect squares and perfect cubes
- Recognise key powers (powers of 2 up to 2¹⁰, powers of 3 up to 3⁵, etc.) and distinguish exact roots from approximations
Assessment prompt
Can Square and cube numbers work out that √25 = 5 and ∛27 = 3 — knowing these are the inverse of squaring and cubing — and say whether √50 is closer to 7 or 8?
Standards alignment
8.EE.2US · ccss-math
Square and cube roots
Common Core State Standards for Mathematics · 8
KS3.Maths.Num.7GB · uk-nc-2013
Integer Powers and Roots
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3