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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 361 · 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 15 × 3 ÷ 12 + 17?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 20 ÷ 18 + 4?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 4 × 2 + 12?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 15 + 3 ÷ 18?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 4 × 16 ÷ 7?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 15 − 5 ÷ 16?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 4 ÷ 5 + 8?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 6 × 7 − 10?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 13 ÷ 12 + 7?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 9 − 6 ÷ 9?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 20 + 4 − 2?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 12 − 2 + 3?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 15 ÷ 2 + 7?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 6 × 17 + 5?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 13 ÷ 7 − 18?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 17 − 8 ÷ 19?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 10 ÷ 19 × 16?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 9 ÷ 7 − 5?
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 11 − 5 ÷ 14?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 3 ÷ 2 + 13?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 17 ÷ 11 × 20?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 5 ÷ 12 × 4?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 17 + 8 − 14?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 4 ÷ 2 × 5?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 9 ÷ 20 − 10?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 17 − 6 + 10?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 17 − 2 ÷ 7?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 19 − 19 × 2?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 15 ÷ 11 + 8?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 14 + 3 ÷ 4?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 4 − 5 × 15?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 3 × 7 + 13?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 8 + 15 ÷ 5?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 18 + 14 × 2?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 7 + 16 ÷ 17?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 17 + 3 − 5?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 9 ÷ 6 × 14?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 16 × 18 ÷ 15?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 15 ÷ 19 + 20?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 10 ÷ 20 + 10?

Answer key

  1. 43
  2. 54
  3. 4
  4. 270
  5. 77
  6. 74
  7. 77
  8. 66
  9. 156
  10. 105
  11. 318
  12. 14
  13. 55
  14. 87
  15. 120
  16. 137
  17. 193
  18. 30
  19. 57
  20. 35
  21. 246
  22. 71
  23. 346
  24. 0
  25. 201
  26. 52
  27. 148
  28. 9
  29. 161
  30. 7
  31. 23
  32. 99
  33. 131
  34. 23
  35. 36
  36. 8
  37. 134
  38. 109
  39. 89
  40. 7

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