Grade 6 · Algebra & functions

Perfect squares and cubes practice

Perfect squares and cubes is a grade 6 math skill aligned to Common Core standard 6.EE.A.1: write and evaluate numerical expressions involving whole-number exponents. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 60 perfect squares and cubes problems our math games drill.

CCSS 6.EE.A.160 questions in the bank
Sample questions

Try 8 for free

Question 1easy

What is 131^3?

 13=1⋅1⋅1=1\,1^3 = 1 \cdot 1 \cdot 1 = 1.

Question 2easy

What is 222^2?

 22=2⋅2=4\,2^2 = 2 \cdot 2 = 4.

Question 3easy

Compute 131^3.

 13=1⋅1⋅1=1\,1^3 = 1 \cdot 1 \cdot 1 = 1.

Question 4easy

Compute 222^2.

 22=2⋅2=4\,2^2 = 2 \cdot 2 = 4.

Question 5easy

Evaluate 131^3.

 13=1⋅1⋅1=1\,1^3 = 1 \cdot 1 \cdot 1 = 1.

Question 6easy

What is 323^2?

 32=3⋅3=9\,3^2 = 3 \cdot 3 = 9.

Question 7easy

What is 232^3?

 23=2⋅2⋅2=8\,2^3 = 2 \cdot 2 \cdot 2 = 8.

Question 8easy

Compute 323^2.

 32=3⋅3=9\,3^2 = 3 \cdot 3 = 9.

Play it

Math games for Grade 6

Questions like these are served inside our head-to-head math games.

Blaster Gate gameBlaster GateBlast through the wall. First to clear wins.Blitz Tanks gameBlitz TanksSolve math to load shells. Out-think the battalion. Last math standing wins.Bullseye Blitz gameBullseye BlitzAnswer true, loose your arrow — string a streak and shoot fire.Slam Streak gameSlam StreakAnswer to sink the shot — build a streak and catch fire.
Tests that cover perfect squares and cubes:
SBACACTACT AspireNC EOG/EOCSC READY
More Grade 6 skills:
Multiplying and dividing fractionsStatistical questions and distributionsDecimal operationsFraction-decimal-percent conversionMeasures of center and variabilityOrder of operationsAbsolute valueArea formulas (triangle, parallelogram, trapezoid)All Grade 6 practice →

Drill it inside a game.

The free placement test finds your level, then every match serves perfect squares and cubes questions at exactly the right difficulty.