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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 861 · 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 16 × 11 ÷ 10 + 17?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 4 − 16 + 7?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 2 − 13 + 2?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 17 ÷ 15 + 5?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 7 + 10 × 6?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 20 × 5 ÷ 12?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 18 ÷ 3 × 18?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 4 ÷ 7 × 3?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 2 − 11 + 14?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 9 ÷ 13 + 16?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 6 − 20 + 6?
  12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 6 − 13 + 5?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 12 − 6 × 11?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 17 + 7 × 4?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 − 3 ÷ 7?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 12 ÷ 7 − 18?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 8 × 2 ÷ 5?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 19 ÷ 13 − 13?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 12 ÷ 2 + 11?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 13 × 7 + 4?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 18 ÷ 8 − 6?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 11 × 12 − 3?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 2 ÷ 18 − 6?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 20 − 15 + 18?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 10 ÷ 11 + 3?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 4 × 3 + 4?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 6 × 18 ÷ 8?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 9 × 8 − 18?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 2 × 3 ÷ 14?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 19 − 5 ÷ 11?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 18 + 3 − 16?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 7 ÷ 16 × 17?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 14 − 2 × 5?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 3 − 3 × 4?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 17 − 5 ÷ 4?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 19 ÷ 11 + 4?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 3 ÷ 16 × 13?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 6 − 19 + 4?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 18 + 11 − 2?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 17 + 6 − 2?

Answer key

  1. 175
  2. 111
  3. 26
  4. 69
  5. 10
  6. 233
  7. 51
  8. 8
  9. 27
  10. 108
  11. 120
  12. 86
  13. 28
  14. 117
  15. 16
  16. 130
  17. 11
  18. 229
  19. 195
  20. 18
  21. 50
  22. 8
  23. 10
  24. 397
  25. 26
  26. 12
  27. 12
  28. 172
  29. 24
  30. 51
  31. 114
  32. 41
  33. 131
  34. 4
  35. 13
  36. 40
  37. 39
  38. 87
  39. 351
  40. 269

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