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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 59 · 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 + 19 ÷ 11 − 16?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 5 ÷ 19 + 16?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 16 − 9 × 18?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 16 ÷ 18 × 9?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 15 + 14 − 5?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 16 + 2 ÷ 7?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 5 − 3 ÷ 15?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 6 + 11 − 2?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 15 ÷ 20 − 6?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 6 × 3 ÷ 2?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 17 ÷ 10 × 11?
  12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 2 + 5 − 16?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 14 ÷ 13 + 15?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 6 ÷ 5 × 2?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 6 × 20 ÷ 11?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 2 − 5 × 9?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 13 ÷ 16 × 20?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 12 × 2 + 10?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 18 × 14 ÷ 4?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 13 ÷ 10 + 15?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 6 − 3 × 16?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 12 − 6 × 11?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 5 − 4 ÷ 11?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 16 + 13 ÷ 10?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 5 − 15 ÷ 11?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 3 − 9 ÷ 19?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 12 + 10 ÷ 13?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 15 ÷ 12 × 12?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 6 ÷ 3 + 13?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 11 × 7 ÷ 3?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 16 − 4 + 3?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 2 − 18 ÷ 4?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 13 − 17 + 15?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 12 ÷ 5 − 3?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 8 − 17 ÷ 13?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 5 ÷ 2 × 2?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 15 ÷ 11 × 15?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 14 ÷ 18 − 2?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 7 ÷ 7 + 19?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 7 × 20 + 16?

Answer key

  1. 167
  2. 302
  3. 14
  4. 226
  5. 60
  6. 89
  7. 40
  8. 53
  9. 112
  10. 3
  11. 168
  12. 14
  13. 199
  14. 87
  15. 111
  16. 18
  17. 212
  18. 76
  19. 48
  20. 21
  21. 10
  22. 63
  23. 17
  24. 285
  25. 13
  26. 5
  27. 51
  28. 226
  29. 8
  30. 19
  31. 15
  32. 24
  33. 220
  34. 166
  35. 138
  36. 21
  37. 184
  38. 26
  39. 35
  40. 317

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