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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 764 · 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 18 + 19 ÷ 11 − 5?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 10 + 2 × 7?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 4 × 16 + 2?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 2 − 12 + 2?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 2 ÷ 13 + 3?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 3 − 10 + 2?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 4 − 8 ÷ 20?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 19 ÷ 16 × 7?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 5 + 5 × 9 − 20?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 20 − 20 × 7?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 5 − 19 + 19?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 14 − 6 × 19?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 19 × 15 ÷ 3?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 7 + 20 ÷ 10?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 11 + 18 − 2?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 13 × 13 ÷ 14?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 13 × 4 − 16?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 11 × 3 ÷ 10?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 18 − 6 × 11?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 11 × 8 + 16?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 18 ÷ 13 + 20?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 15 × 12 − 2?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 2 ÷ 4 − 13?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 18 ÷ 2 × 3?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 19 + 19 − 11?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 3 − 19 + 3?
  27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 13 ÷ 13 + 3?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 6 + 12 ÷ 12?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 20 − 20 ÷ 14?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 15 ÷ 7 × 2?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 7 − 17 × 4?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 18 ÷ 7 − 18?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 15 × 4 + 2?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 10 × 2 − 11?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 7 × 9 ÷ 5?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 16 + 16 ÷ 2?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 8 ÷ 15 + 5?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 4 − 3 + 8?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 2 − 20 × 5?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 17 × 5 − 4?

Answer key

  1. 54
  2. 22
  3. 26
  4. 8
  5. 88
  6. 28
  7. 25
  8. 352
  9. 181
  10. 17
  11. 0
  12. 85
  13. 121
  14. 4
  15. 200
  16. 246
  17. 55
  18. 92
  19. 49
  20. 69
  21. 231
  22. 5
  23. 68
  24. 53
  25. 22
  26. 31
  27. 179
  28. 102
  29. 262
  30. 185
  31. 62
  32. 12
  33. 163
  34. 17
  35. 59
  36. 10
  37. 86
  38. 0
  39. 45
  40. 72

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