Grade 3 logic questions

Grade 3 logic questions: age problems, number sequences, ordering, worst-case and magic square questions. Free printable PDF and solving strategies.

Why do logic questions matter in grade 3?

At 8–10, children move on to multi-step problems. Logic questions build reading comprehension, choosing the right operation and checking the answer, all at once.

Question types

• Age and difference problems: "Ece is 3 years older than Mert…"
• Number sequences: addition and multiplication rules (4, 9, 14… / 2, 6, 18…)
• Ordering: finding the race order from clues — Order Workshop
• Heads and legs (chickens and rabbits): guess-and-check strategy
• Worst case: "What's the fewest pencils I must pull out?"
• Magic squares and 6×6 sudoku: Number Sudoku, Number Pyramid

4-step solving strategy

1. Say the question in your own words: Separate what's given from what's asked.
2. Draw or make a table: For age, order and counting questions, a small table makes things easier.
3. Try and check: Make a guess and check whether it meets all the conditions.
4. Explain your solution path: Tell someone how you found the answer.

Example

"There are 5 heads and 14 legs." If they were all chickens there would be 10 legs; there are 4 extra, and each rabbit adds 2. Talk this reasoning through with your child; answer keys for the free PDF questions aren't published.

📄 Grade 3 Logic Questions (free PDF)

Other grades: Grade 1 · Grade 2 · Free PDFs for ages 9 and up

Levelled next steps: packs

• Picture Sudoku 4×4 Pack — 48 puzzles, ages 6–8
• Number Sudoku 6×6 Pack — 48 puzzles, ages 9–12
• Way Home Mazes — 30 mazes, ages 6–8

All packs are A4 PDFs with solutions; prices include VAT, payment via Payhip.

Start for free

• Free activity PDFs — download and print right away.
• Puzzle of the Week — three new puzzles every Monday.
• Puzzle of the Day — one a day on screen.
• For more printable puzzle packs (A4 PDF with solutions, prices incl. VAT).