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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 224 · 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 8 + 8 ÷ 17 − 10?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 7 + 7 × 13?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 2 + 2 − 10 ÷ 12?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 15 ÷ 19 × 17?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 12 + 20 × 3?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 15 ÷ 9 − 11?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 10 ÷ 3 + 20?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 7 − 11 ÷ 5?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 2 × 7 ÷ 12?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 10 × 3 ÷ 20?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 9 + 15 × 5?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 12 ÷ 16 + 5?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 10 − 4 ÷ 19?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 7 + 15 × 5?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 12 × 6 + 12?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 20 × 19 ÷ 18?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 19 × 5 ÷ 16?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 12 − 19 × 7?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 14 − 14 ÷ 15?
  20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 9 + 2 − 8?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 4 × 2 − 19?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 15 × 3 + 15?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 20 × 9 ÷ 5?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 17 ÷ 4 − 4?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 12 ÷ 2 × 17?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 4 ÷ 6 + 2?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 7 − 15 + 17?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 18 + 14 × 4?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 6 − 2 + 12?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 17 − 19 × 17?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 16 − 2 × 8?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 15 ÷ 11 × 6?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 12 − 5 × 11?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 15 × 19 ÷ 14?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 5 × 20 + 11?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 14 × 2 − 14?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 13 − 4 ÷ 8?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 9 × 13 ÷ 20?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 15 × 20 + 4?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 9 − 9 + 3?

Answer key

  1. 170
  2. 25
  3. 22
  4. 197
  5. 244
  6. 94
  7. 15
  8. 92
  9. 17
  10. 53
  11. 114
  12. 77
  13. 83
  14. 10
  15. 24
  16. 81
  17. 141
  18. 96
  19. 34
  20. 4
  21. 47
  22. 48
  23. 46
  24. 238
  25. 135
  26. 53
  27. 98
  28. 314
  29. 38
  30. 39
  31. 14
  32. 220
  33. 150
  34. 175
  35. 226
  36. 111
  37. 51
  38. 146
  39. 265
  40. 1

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