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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 202 · 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 5 + 16 ÷ 4 − 17?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 15 − 8 × 14?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 9 ÷ 13 + 13?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 13 − 13 × 5 ÷ 10?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 16 × 19 ÷ 19?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 8 − 15 × 11?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 13 − 2 ÷ 15?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 19 × 4 − 19?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 ÷ 4 × 6?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 20 + 19 ÷ 2?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 9 × 6 ÷ 13?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 2 ÷ 18 × 19?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 13 × 15 − 5?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 8 ÷ 4 − 14?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 14 ÷ 10 × 8?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 2 × 15 ÷ 15?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 12 + 3 − 19?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 14 + 19 ÷ 5?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 4 + 4 ÷ 10?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 6 + 6 × 2?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 4 × 4 − 2?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 6 − 6 ÷ 9?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 5 × 7 + 18?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 20 + 4 − 2?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 19 ÷ 20 × 8?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 18 − 8 + 13?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 5 ÷ 13 + 17?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 3 ÷ 3 − 20?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 17 ÷ 18 − 20?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 4 − 3 × 3?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 2 × 2 − 16?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 6 − 16 ÷ 15?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 14 − 18 + 12?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 19 ÷ 11 × 20?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 10 × 5 + 3?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 5 + 5 ÷ 13?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 12 + 4 ÷ 18?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 15 ÷ 13 × 3?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 17 ÷ 11 × 11?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 9 − 3 × 7?

Answer key

  1. 57
  2. 109
  3. 126
  4. 6
  5. 176
  6. 4
  7. 221
  8. 357
  9. 9
  10. 385
  11. 25
  12. 19
  13. 224
  14. 42
  15. 208
  16. 9
  17. 24
  18. 154
  19. 22
  20. 20
  21. 13
  22. 51
  23. 126
  24. 59
  25. 69
  26. 133
  27. 223
  28. 72
  29. 362
  30. 8
  31. 27
  32. 97
  33. 28
  34. 197
  35. 12
  36. 17
  37. 34
  38. 65
  39. 339
  40. 38

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