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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 889 · 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 ÷ 6 × 2 − 4?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 6 − 11 + 6?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 2 ÷ 4 − 16?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 9 ÷ 19 × 12?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 10 × 19 + 10?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 18 + 2 × 14?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 12 − 6 × 6?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 8 − 6 ÷ 3?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 11 + 8 × 3?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 11 ÷ 15 × 7?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 3 + 16 − 2?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 9 ÷ 6 × 4?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 × 13 ÷ 8 − 9?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 4 × 3 ÷ 15?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 17 + 12 − 3?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 4 − 20 × 8?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 5 + 20 × 12?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 14 − 5 ÷ 12?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 3 × 11 + 19?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 4 − 15 × 3?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 18 × 9 ÷ 20?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 18 − 2 + 9?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 2 − 18 + 9?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 12 × 11 + 3?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 10 ÷ 10 × 13?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 17 ÷ 3 − 3?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 9 × 18 ÷ 9?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 4 − 6 ÷ 16?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 17 − 10 ÷ 18?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 14 ÷ 8 + 4?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 3 ÷ 10 × 3?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 20 − 10 + 6?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 3 − 17 ÷ 15?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 15 − 14 × 15?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 20 + 2 − 6?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 16 − 7 + 13?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 3 ÷ 8 × 4?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 8 ÷ 4 + 11?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 12 − 2 × 15?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 19 − 3 × 13?

Answer key

  1. 30
  2. 17
  3. 18
  4. 171
  5. 179
  6. 50
  7. 3
  8. 27
  9. 8
  10. 135
  11. 28
  12. 146
  13. 73
  14. 12
  15. 161
  16. 9
  17. 52
  18. 147
  19. 215
  20. 28
  21. 209
  22. 13
  23. 13
  24. 30
  25. 107
  26. 7
  27. 54
  28. 14
  29. 168
  30. 152
  31. 29
  32. 24
  33. 261
  34. 211
  35. 80
  36. 202
  37. 41
  38. 45
  39. 87
  40. 44

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