creouts
A 4-row number pyramid beside the cover of Find the Wrong Brick.

Field Notes

Find the Wrong Brick: Proofread a Math Pyramid

3 min read
  • Pyramid kinds
  • Wrong brick
  • How to solve

Find the Wrong Brick: The whole pyramid is printed. One brick is wrong. You proofread it. 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

Every brick should equal the two bricks under it, added. One brick (two, in the hardest chapter) disagrees.

A worked sample

Step 1

Check every sum

Add the two bricks under each brick and compare. The base is fine: 6 + 3 = 9, 5 + 2 = 7. But 3 + 5 = 8, and the brick above says 9. That sum fails.

Step 2

Mark the failing sums

The row above fails too: 9 + 9 = 18 but it says 17, and 9 + 7 = 16 but it says 15. Three sums are marked.

Step 3

Find the shared brick

A brick sits in up to three sums. The wrong brick is the one that every failing sum shares: the middle 9. Change it to 8 and all three sums come right, and the top, 17 + 15 = 32, was always fine.

Your turn

Try it: tap the wrong brick

One brick in this pyramid is wrong. Add the two bricks under each one and tap the culprit.

Why it is worth doing

Proofreading a pyramid turns the usual job around: instead of computing, you check. It is excellent practice for spotting errors in your own sums.

How a page looks in the book

The technique page of Find the Wrong Brick, showing how to mark the sums that disagree.
The technique page.
A Level 1 puzzle page of Find the Wrong Brick: a full pyramid with one wrong brick to circle.
A Level 1 page, as printed.

A low-resolution page from Find the Wrong Brick, so you can see the layout. Nothing on it is solved.

Books mentioned

Find the Wrong Brick cover

Find the Wrong Brick

A whole book of proofreading puzzles for ages 10 to adult, from one wrong brick to two. Full solutions are in the back.

View on Amazon

As an Amazon Associate we earn from qualifying purchases. Cover images are the ones we have on file; the book you receive may show a slightly different cover.

More field notes