Square and cube numbers

1 Usecounterstoshowthat4,9and16aresquarenumbers.

Drawyouranswers.

2 Matchtherepresentations.

4cubed

3squared

4×4

42 23

3 Hereisa2×2×2cube.

Howmanycubesdoyouneedtobuilda3×3×3cube?

4 Completethetable.

22 2×2 4

23 2×2×2

32

33

2 25

5×5×5

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5 Write<,>or=tocompletethestatements.

2squared 2cubed

2squared 2×2

2squared 4

2squared 1cubed

6 Draw3straightlinestosplitthisgridinto3squaresand1rectangle.

7 Findfoursquarenumbersbetween100and200

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8 Dexterworksout20squared.

Annieworksout20cubed.

FindthedifferencebetweenDexter’sandAnnie’snumbers.

9 a)

WhatnumberscouldMobethinkingof?

b)

WhatnumberscouldAlexbethinkingof?

I am thinking of 2 numbers. When I add them I get a prime number. When I

multiply them I get a square number.

I am thinking of 2 numbers. When I add them I get a square number. When I

multiply them I get a prime number.