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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 29 · 40 questions
TalentJR

The trick (Same total): Add up a row (or column) that has no gap: that is the magic total. Add the numbers you can see in the line with the gap. Missing number = magic total − that sum.

NameDateTime takenScore ___ / 40
  1. 1.Magic square (every row, column and diagonal has the same total): 11 12 7 | 6 10 ? | 13 8 9. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): 10 3 8 | 5 7 ? | 6 11 4. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 20 ? 24 | 22 18 14 | 12 26 16. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 8 18 16 | 22 14 6 | 12 10 ?. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 13 ? 7 | 10 16 22 | 25 4 19. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 14 11 26 | 29 ? 5 | 8 23 20. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 13 14 9 | 8 ? 16 | 15 10 11. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): ? 10 13 | 4 16 28 | 19 22 7. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 6 5 10 | 11 7 3 | 4 ? 8. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 26 11 ? | 29 23 17 | 14 35 20. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): ? 17 20 | 11 23 35 | 26 29 14. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 12 13 8 | 7 11 15 | ? 9 10. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): ? 7 22 | 13 19 25 | 16 31 10. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 15 36 21 | 30 24 18 | ? 12 33. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 16 14 24 | 26 18 ? | 12 22 20. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 9 14 ? | 16 12 8 | 11 10 15. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): ? 10 9 | 12 8 4 | 7 6 11. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 10 5 12 | 11 9 7 | 6 ? 8. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 10 ? 14 | 17 13 9 | 12 11 16. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 14 12 22 | 24 16 8 | 10 20 ?. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 15 12 ? | 30 18 6 | 9 24 21. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 16 9 14 | 11 13 15 | 12 ? 10. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 6 ? 2 | 1 5 9 | 8 3 4. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): 8 22 ? | 18 14 10 | 16 6 20. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): ? 20 10 | 8 16 24 | 22 12 14. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 8 29 14 | 23 17 ? | 20 5 26. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): ? 22 12 | 18 14 10 | 16 6 20. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 19 16 31 | 34 ? 10 | 13 28 25. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 12 5 10 | 7 9 ? | 8 13 6. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 8 23 20 | 29 17 5 | 14 11 ?. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 16 26 12 | ? 18 22 | 24 10 20. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 15 17 7 | 5 13 ? | 19 9 11. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 18 20 10 | 8 ? 24 | 22 12 14. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): ? 12 17 | 18 14 10 | 11 16 15. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): ? 8 15 | 14 12 10 | 9 16 11. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 5 ? 3 | 4 6 8 | 9 2 7. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 5 ? 9 | 15 11 7 | 13 3 17. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 9 7 17 | 19 11 3 | ? 15 13. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 7 22 ? | 28 16 4 | 13 10 25. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 12 ? 10 | 11 13 15 | 16 9 14. What is the missing number?

Answer key

  1. 14
  2. 9
  3. 10
  4. 20
  5. 28
  6. 17
  7. 12
  8. 25
  9. 9
  10. 32
  11. 32
  12. 14
  13. 28
  14. 27
  15. 10
  16. 13
  17. 5
  18. 13
  19. 15
  20. 18
  21. 27
  22. 17
  23. 7
  24. 12
  25. 18
  26. 11
  27. 8
  28. 22
  29. 11
  30. 26
  31. 14
  32. 21
  33. 16
  34. 13
  35. 13
  36. 10
  37. 19
  38. 5
  39. 19
  40. 17

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