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Magic Square Puzzles with Answers

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

Answer key

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

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