🔢 MathGrade 3Lesson 39
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Math Puzzle Day

Lesson preview: the Mini Lesson and Vocabulary are open to everyone. Guided practice, exercises, the parent checklist and the printable PDF worksheet come with full access (free 7-day trial or membership).

What you will learn

  • 1Apply mathematical reasoning to solve number puzzles
  • 2Use logical thinking to explore patterns and challenges
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Mini Lesson

Puzzles make us think carefully and use all our math skills! Today we explore four fun puzzle types: number riddles, magic squares, pattern challenges, and logic grids. Each one requires you to think logically and try different strategies.

Puzzle Types

  • Number riddle: read the clues and work out the mystery number.
  • Magic square: arrange numbers so every row, column, and diagonal adds to the same total.
  • Pattern challenge: find the rule and predict what comes next.
  • Logic grid: use given facts to work out which items belong together.

Problem-Solving Strategies

  1. Read carefully — underline key clues.
  2. Try a simpler version first.
  3. Work backwards from the answer.
  4. Use guess and check.
  5. Draw a diagram or table.

Words to know

Puzzle

A tricky problem that takes thinking to solve

e.g. My math puzzle had hidden numbers.

Strategy

A smart plan for solving a problem

e.g. My strategy is to look for patterns.

Pattern

Something that repeats in a regular way

e.g. The puzzle had a pattern of even numbers.

Logic

Careful step-by-step thinking

e.g. I used logic to find the missing piece.

Solve

To find an answer to a problem

e.g. I solved the riddle in two minutes.

3x3 magic square with numbers 1-9, all lines sum to 15A 3 by 3 grid containing the numbers 2, 7, 6, 9, 5, 1, 4, 3, 8 arranged so every row, column and diagonal adds to 15.Magic Square — all lines = 15!276951438= 15= 15= 15Every row, column and diagonal adds to 15!
Number riddle: I am between 40 and 45, divisible by 7. The answer is 42.A step-by-step number riddle. The number is between 40 and 45 and divisible by 7. Step 1 lists multiples of 7: 35, 42, 49. Step 2 finds which is between 40 and 45: 42.Number RiddleI am between 40 and 45.I am divisible by 7. What am I?Step 1: Multiples of 735, 42, 49, 56...Step 2: Between 40 and 4542 is the answer!7 × 6 = 42
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For a magic square with numbers 1-9, the magic total is always 15. The center number must be 5!

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← Lesson 38: Measurement Scavenger HuntLesson 40: End-of-Year Math Fair →