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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 701 · 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 7 + 20 × 9 ÷ 14?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 17 + 16 − 17?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 12 × 11 ÷ 11?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 10 × 2 + 2?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 3 ÷ 10 × 12?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 9 + 11 ÷ 13?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 18 × 10 + 5?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 17 − 18 × 7?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 11 × 11 + 15?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 10 − 14 ÷ 19?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 12 − 7 + 6?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 5 × 20 + 20?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 20 × 20 − 2?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 8 + 10 − 5?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 16 − 10 + 10?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 5 + 20 ÷ 20?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 9 − 3 + 14?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 11 + 2 − 7?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 13 − 6 × 2?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 4 + 4 ÷ 13?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 12 ÷ 7 × 8?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 9 ÷ 9 × 4?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 15 × 12 − 6?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 3 − 11 ÷ 2?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 6 − 16 ÷ 4?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 × 17 − 11 + 4?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 5 + 2 × 8?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 13 ÷ 16 − 4?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 10 ÷ 9 − 6?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 10 × 5 ÷ 9?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 20 + 15 × 12?
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 15 − 19 + 7?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 4 + 15 − 2?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 17 + 2 × 4?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 4 ÷ 15 × 14?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 4 ÷ 9 × 20?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 15 ÷ 18 + 9?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 7 ÷ 14 + 7?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 13 + 11 ÷ 17?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 4 + 16 ÷ 5?

Answer key

  1. 113
  2. 18
  3. 192
  4. 191
  5. 55
  6. 97
  7. 4
  8. 249
  9. 166
  10. 126
  11. 96
  12. 7
  13. 5
  14. 34
  15. 3
  16. 82
  17. 47
  18. 6
  19. 58
  20. 7
  21. 131
  22. 122
  23. 70
  24. 20
  25. 65
  26. 8
  27. 17
  28. 68
  29. 51
  30. 186
  31. 4
  32. 117
  33. 35
  34. 132
  35. 43
  36. 75
  37. 271
  38. 94
  39. 58
  40. 5

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