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Magic Square Puzzles with Answers

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

Answer key

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

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