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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 606 · 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 2 + 15 ÷ 8 − 6?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 16 + 13 ÷ 2?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 15 × 17 + 3?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 14 − 16 × 4?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 9 × 14 ÷ 18?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 3 ÷ 19 + 15?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 16 ÷ 18 × 10?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 4 ÷ 18 − 14?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 8 + 8 × 5?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 9 + 9 − 4?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 14 ÷ 9 × 5?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 6 + 6 ÷ 5?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 15 − 10 × 6?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 16 + 18 × 12?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 17 × 20 ÷ 4?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 11 ÷ 20 + 16?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 4 × 12 − 3?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 15 ÷ 19 + 13?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 18 ÷ 14 − 18?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 5 + 5 − 17?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 20 × 3 ÷ 13?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 13 + 11 ÷ 8?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 4 − 12 + 3?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 19 + 7 ÷ 16?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 16 × 11 + 17?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 2 − 7 + 4?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 10 × 20 ÷ 18?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 18 + 2 − 12?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 12 − 4 ÷ 20?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 9 − 15 × 17?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 4 ÷ 18 × 3?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 20 + 6 × 3?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 15 ÷ 17 − 18?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 2 × 10 ÷ 8?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 8 × 10 ÷ 11?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 19 × 2 − 2?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 11 + 11 − 4 × 20?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 4 + 16 × 5?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 6 × 3 − 18?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 5 × 5 − 18?

Answer key

  1. 28
  2. 4
  3. 239
  4. 75
  5. 121
  6. 49
  7. 24
  8. 40
  9. 1
  10. 11
  11. 134
  12. 22
  13. 146
  14. 34
  15. 186
  16. 224
  17. 41
  18. 276
  19. 238
  20. 31
  21. 270
  22. 142
  23. 30
  24. 134
  25. 90
  26. 15
  27. 24
  28. 17
  29. 80
  30. 127
  31. 51
  32. 37
  33. 31
  34. 80
  35. 73
  36. 22
  37. 24
  38. 27
  39. 38
  40. 34

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