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A Square and A Cube

Checkpoint: in between, cubes and cube roots

Five more ideas, five more questions. Feedback comes as you answer, and you can retry any time.

A square patch has an area of 50 square units. Between which two whole numbers does its side sit?

A crate is 5 blocks along every edge and packed full. How many blocks does it hold?

7 + 9 + 11 is the third group of odd numbers. What does it add up to?

216 is 2 × 2 × 2 × 3 × 3 × 3. What is its cube root?

A square courtyard is 9 metres a side. It is paved with square metre slabs. How many slabs are needed?

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This track

  1. 0 Start here
  2. 1 A number you can draw as a square
  3. 2 Each new layer is the next odd number
  4. 3 A test that can only say no
  5. 4 Going back to the side you started from
  6. 5 Pairing the primes finds the side
  7. 6 Checkpoint: squares, the staircase and roots
  8. 7 When no whole number fits
  9. 8 A cube number counts real cubes
  10. 9 What cubes end in, and what they add up to
  11. 10 Grouping the primes in threes
  12. 11 Which count is the job asking for
  13. 12 Checkpoint: in between, cubes and cube roots
  14. 13 The big picture
  15. 14 Track quiz

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