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A 3-row number pyramid beside the cover of Four Operations Math Pyramids.

Field Notes

Four Operations Pyramids: Undo Times With Divide

2 min read
  • Pyramid kinds
  • Four operations
  • How to solve

Four Operations Pyramids: Add, take away, times and divide, all in one pyramid. 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 made from the two bricks under it with the operation shown on it. Division always comes out exact.

A worked sample

Step 1

Undo the times

The top is left × 12 = 36. To undo a times, divide: 36 ÷ 12 = 3.

Step 2

Undo the divide

The left brick of row 2 is 12 ÷ ? = 3. To find the number you divided by, divide again: 12 ÷ 3 = 4.

Step 3

Undo the other times

The right brick of row 2 is 4 × ? = 12, so ? = 12 ÷ 4 = 3. All four operations were used, and every check works.

Your turn

Try it: all four operations

Each brick shows its operation. Work backwards from the numbers you can see, then press Check.

×36
÷
×12
12

Why it is worth doing

Division is the new twist: dividing undoes times, and dividing again undoes a divide. Spotting which inverse to use is the skill.

Books mentioned

Four Operations Math Pyramids cover

Four Operations Math Pyramids

124 pyramids that add, subtract, multiply and divide, for teens and adults. Full solutions are in the back.

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