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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 369 · 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 3 + 13 × 2 ÷ 15?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 10 − 10 ÷ 11?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 19 − 4 ÷ 17?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 11 + 13 ÷ 7?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 13 × 19 ÷ 15?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 2 − 2 ÷ 2?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 4 × 11 + 20?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 4 ÷ 16 − 3?
  9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 4 − 17 + 17?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 14 + 12 − 6?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 4 + 13 × 19?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 15 + 5 ÷ 19?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 4 + 6 × 2?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 6 ÷ 16 + 2?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 19 − 6 × 6?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 9 + 9 ÷ 11?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 2 − 3 × 20?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 20 + 16 − 16?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 6 − 9 + 18?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 9 ÷ 3 + 18?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 20 × 15 ÷ 19?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 9 − 16 + 11?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 17 − 12 × 16?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 8 × 12 ÷ 10?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 7 × 18 ÷ 15?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 7 ÷ 20 + 14?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 10 − 6 ÷ 15?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 15 × 8 ÷ 7?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 6 × 8 ÷ 19?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 2 − 4 × 6?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 9 − 18 + 2?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 7 − 19 ÷ 17?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 8 + 11 ÷ 7?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 18 − 17 ÷ 20?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 3 ÷ 6 + 12?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 4 × 2 + 7?
  37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 11 ÷ 9 − 18?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 10 − 6 × 2?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 9 − 2 ÷ 5?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 13 × 15 + 19?

Answer key

  1. 20
  2. 10
  3. 63
  4. 203
  5. 217
  6. 6
  7. 223
  8. 52
  9. 25
  10. 46
  11. 66
  12. 67
  13. 0
  14. 100
  15. 111
  16. 30
  17. 30
  18. 1
  19. 99
  20. 39
  21. 204
  22. 180
  23. 204
  24. 50
  25. 31
  26. 27
  27. 21
  28. 151
  29. 41
  30. 11
  31. 34
  32. 79
  33. 99
  34. 51
  35. 51
  36. 12
  37. 185
  38. 123
  39. 31
  40. 113

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