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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 246 · 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 10 ÷ 3 + 11 × 4?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 14 × 7 + 2?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 12 × 7 − 3?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 16 − 9 × 8?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 16 + 20 ÷ 9?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 13 ÷ 2 × 19?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 19 − 2 ÷ 11?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 20 − 10 × 4?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 3 + 3 ÷ 4 × 6?
  10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 17 + 8 × 6?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 2 − 7 + 7?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 13 ÷ 12 × 6?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 13 − 15 + 5?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 7 ÷ 5 × 3?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 8 − 13 ÷ 12?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 9 × 2 ÷ 5?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 12 × 9 + 19?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 4 − 19 + 20?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 16 + 4 × 17?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 5 × 7 ÷ 8?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 8 − 4 × 5?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 10 − 20 ÷ 13?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 13 × 20 ÷ 2?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 9 × 3 + 16?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 11 ÷ 13 + 2?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 16 × 6 − 20?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 19 + 2 × 3?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 16 × 12 − 16?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 7 ÷ 6 × 10?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 10 × 19 ÷ 7?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 18 ÷ 15 × 4?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 19 × 13 ÷ 5?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 11 − 2 × 6?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 3 × 6 + 6?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 5 + 10 ÷ 4?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 20 ÷ 3 + 12?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 3 × 10 − 20?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 2 + 12 × 13?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 2 − 4 ÷ 2?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 14 ÷ 20 × 14?

Answer key

  1. 39
  2. 36
  3. 212
  4. 149
  5. 323
  6. 191
  7. 6
  8. 0
  9. 3
  10. 28
  11. 7
  12. 97
  13. 94
  14. 44
  15. 165
  16. 183
  17. 178
  18. 59
  19. 317
  20. 14
  21. 31
  22. 262
  23. 73
  24. 131
  25. 44
  26. 60
  27. 381
  28. 24
  29. 130
  30. 92
  31. 270
  32. 160
  33. 17
  34. 11
  35. 59
  36. 51
  37. 13
  38. 14
  39. 13
  40. 22

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