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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 272 · 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 15 − 5 × 14 ÷ 2?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 20 × 15 + 5?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 6 ÷ 4 − 4?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 4 − 2 ÷ 20?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 14 ÷ 2 × 4?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 15 + 6 ÷ 2?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 19 + 19 − 5?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 3 − 18 ÷ 5?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 16 × 20 ÷ 12?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 6 − 4 ÷ 8?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 9 ÷ 4 + 11?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 6 ÷ 20 + 15?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 14 − 7 + 11?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 5 ÷ 4 × 17?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 4 − 12 × 8?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 19 − 16 ÷ 4?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 5 ÷ 6 + 18?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 11 − 8 × 6?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 19 + 8 ÷ 4?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 6 ÷ 2 − 14?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 10 + 20 ÷ 18?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 11 ÷ 15 × 5?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 14 ÷ 2 × 2?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 16 − 12 + 3?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 4 + 4 ÷ 19?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 19 + 12 − 6?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 15 + 13 − 15?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 17 ÷ 16 + 3?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 5 ÷ 5 − 17?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 19 + 20 − 12?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 13 × 12 ÷ 13?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 2 ÷ 17 + 19?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 5 ÷ 4 × 4?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 12 ÷ 3 × 8?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 10 − 10 ÷ 19?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 3 − 14 × 13?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 18 ÷ 18 × 3?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 4 − 4 × 12?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 12 × 12 ÷ 19?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 13 + 11 ÷ 11?

Answer key

  1. 87
  2. 43
  3. 1
  4. 25
  5. 58
  6. 108
  7. 18
  8. 64
  9. 296
  10. 18
  11. 28
  12. 120
  13. 77
  14. 53
  15. 17
  16. 307
  17. 29
  18. 68
  19. 0
  20. 36
  21. 188
  22. 23
  23. 28
  24. 77
  25. 4
  26. 23
  27. 4
  28. 271
  29. 0
  30. 49
  31. 142
  32. 326
  33. 20
  34. 65
  35. 23
  36. 41
  37. 69
  38. 4
  39. 21
  40. 65

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