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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 607 · 40 questions
TalentJR

How to think it through (Swap, then BODMAS): Rewrite the sum, swapping every sign for what it means. BODMAS: do × and ÷ first, from left to right. Then do + and −, from left to right.

NameDateTime takenScore ___ / 40
  1. 1.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 8 − 18 ÷ 9?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 10 + 2 × 10?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 4 × 7 ÷ 12?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 2 ÷ 5 + 11?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 6 − 18 × 13?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 2 ÷ 17 × 18?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 3 − 3 × 2?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 19 − 18 × 15?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 3 × 4 + 6?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 12 − 8 × 8?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 13 − 20 × 7?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 7 + 18 − 6?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 13 × 19 − 20?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 9 × 16 ÷ 16?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 2 × 13 ÷ 6?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 11 × 14 ÷ 14?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 6 + 7 − 13?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 11 × 2 ÷ 7?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 8 − 5 + 15?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 18 + 3 − 3?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 16 + 10 − 4?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 17 ÷ 5 + 19?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 10 ÷ 17 + 4?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 − 12 × 18?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 20 ÷ 8 − 5?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 5 − 11 ÷ 12?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 5 ÷ 11 − 9?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 17 − 12 × 8?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 6 + 10 × 15?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 7 × 18 ÷ 2?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 6 × 2 − 13?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 14 × 19 − 13?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 2 ÷ 3 − 12?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 10 × 5 − 16?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 8 − 7 + 8?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 19 − 9 ÷ 7?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 11 × 17 − 4?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 9 + 6 − 8?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 18 ÷ 17 + 18?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 × 5 − 3 + 19?

Answer key

  1. 173
  2. 98
  3. 29
  4. 12
  5. 103
  6. 6
  7. 9
  8. 307
  9. 7
  10. 14
  11. 78
  12. 13
  13. 377
  14. 153
  15. 45
  16. 77
  17. 9
  18. 104
  19. 33
  20. 15
  21. 51
  22. 92
  23. 170
  24. 102
  25. 46
  26. 84
  27. 96
  28. 200
  29. 60
  30. 37
  31. 42
  32. 242
  33. 43
  34. 81
  35. 6
  36. 175
  37. 75
  38. 20
  39. 292
  40. 58

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