Mathematics — Addition and Algebraic Reasoning · Number-pyramid completion puzzle

Add Pyramid

Use the relationships among adjacent number-pyramid cells to practise forward addition and inverse reasoning.

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📝 Description

Add Pyramid is a mathematics puzzle where each block is built from the sum of two blocks below it. Students practice addition, reasoning, and reverse thinking while completing the pyramid. It supports primary math revision and classroom problem-solving.

📋 Instructions

Fill the missing boxes in the addition pyramid. Remember that each upper box equals the sum of the two boxes directly below it.

🎓 Learning Guide: Add Pyramid

Learning focus: Use the relationships among adjacent number-pyramid cells to practise forward addition and inverse reasoning.

Mathematics — Addition and Algebraic Reasoning Number-pyramid completion puzzle

Learning objectives

  • Look for the mathematical rule governing the shown pyramid
  • Use known cells to calculate missing values
  • Check answers and distinguish independent working from the Solve control

Concepts and principles

  • In a standard addition pyramid, a cell above two neighbouring cells equals their sum; first verify the displayed level follows this rule.
  • If the upper cell and one lower neighbour are known, the missing neighbour can be found by subtraction.
  • Checking a complete pattern means evaluating the relation at every applicable cell.

Examples and worked solutions

Independent teaching example (not verified as an in-game prompt): In an addition-pyramid teaching example, adjacent lower cells are 4 and 7. Find the cell above.
Worked solution: 4+7=11. If the upper cell is 11 and one lower cell is 4, the other must be 7.

Guided practice

  1. Use an available Example view to inspect the local pyramid rule rather than assuming it
  2. Fill easy cells first, then use the resulting totals to solve harder ones
  3. Try the Check function before viewing a complete solution

Expected observations and explanations

  • Local constraints in a number puzzle can propagate to several cells.
  • Working backward can be quicker than guessing values.

Assessment questions and answers

If a standard addition-pyramid upper cell is 15 and one lower cell is 9, what is the other?
Answer: It is 15−9=6.
Why check the entire pyramid?
Answer: One correct sum does not guarantee the remaining relationships are satisfied.

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