creouts
A 3-row number pyramid beside the cover of Symbol Pyramids.

Field Notes

Symbol Pyramids: What Is a Star Worth?

2 min read
  • Pyramid kinds
  • Picture algebra
  • How to solve

Symbol Pyramids: The bottom row is pictures. Every picture hides a number, and the same picture is always the same number. This is one of the many kinds of math pyramid we make, and here is how it works, with a video, a worked sample and a pyramid you can try right on this page.

Twenty seconds: the whole solve, step by step.

The rule

Each brick is the sum of the two bricks under it. A picture is a number you have to work out.

A worked sample

Step 1

Two of the same picture

The right brick of row 2 is two hearts: ♥ + ♥ = 10. So a heart is 5, and both hearts in the base are 5.

Step 2

Now the star

The left brick of row 2 is ★ + ♥ = 8. A heart is 5, so ★ = 8 − 5 = 3.

Step 3

Check

3 + 5 = 8, 5 + 5 = 10 and 8 + 10 = 18. Same picture, same number, and the pyramid is solved.

Your turn

Try it: what is each picture worth?

The same picture is always the same number. Work out what a star and a heart are worth, then press Check.

18
8
10
★
♥
♥

Why it is worth doing

This is algebra in disguise: a picture stands for a number you do not know yet, and you find it by writing a sum and solving it.

How a page looks in the book

The How to Play page of Symbol Pyramids, explaining that the same picture is always the same number.
The how-to-play page.
A Level 1 puzzle page of Symbol Pyramids: pyramids with pictures in the bottom row and empty boxes to fill.
A Level 1 page, as printed.

A low-resolution page from Symbol Pyramids, so you can see the layout. Nothing on it is solved.

Books mentioned

Symbol Pyramids cover

Symbol Pyramids

120 picture-algebra puzzles for ages 9 to adult. Full solutions are in the back.

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