Grade 4 logic questions

Grade 4 logic questions: pre-algebra problems, square numbers, ranking, worst case, clock angles and kakuro. Free printable PDF and solving strategies.

Logic questions in grade 4

At 9–11, children move into abstract thinking: finding the unknown number, ordering with several conditions and discovering rules. Logic questions support this step through play and prepare them for skills-based test questions.

Question types

• Find the unknown: "6 more than 4 times a number is 50" — working backwards
• Number sequences: square numbers, "one more than double" rules
• Conditional ordering: who lives on which floor? — Order Workshop
• Sum and difference: 28 students, 4 more girls than boys
• Worst case: sock and pencil questions
• Kakuro and magic squares: digit combinations — 6×6 Number Sudoku

4-step solving strategy

1. Sort the information: Write down what's given and what's asked separately.
2. Choose a strategy: A table, a drawing, guess and check, or working backwards.
3. Solve step by step: Write down every intermediate result.
4. Check: Put your answer back into the question and check it meets every condition.

Example: working backwards

"6 more than 4 times a number is 50." Start from the end: undo the 6, then divide by 4. Talk this through with your child; answer keys for the free PDF questions aren't published.

📄 Grade 4 Logic Questions (free PDF)

Other grades: Grade 1 · Grade 2 · Grade 3 · 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).