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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 267 · 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 × 9 + 2 ÷ 6?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 2 − 15 ÷ 8?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 4 − 14 × 5?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 20 − 2 × 19?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 5 − 3 ÷ 19?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 15 − 6 ÷ 3?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 19 + 19 − 11?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 9 + 16 × 15?
  9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 20 ÷ 15 × 5?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 − 15 ÷ 11?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 8 ÷ 8 × 10?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 10 + 3 × 10?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 7 × 12 + 5?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 18 × 10 ÷ 6?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 9 − 12 + 6?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 5 + 7 − 6?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 4 + 14 × 10?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 2 × 14 + 14?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 9 × 19 ÷ 3?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 3 × 5 + 7?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 3 ÷ 3 + 9?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 3 − 11 × 6?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 13 × 3 + 14?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 4 ÷ 20 − 8?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 5 × 12 ÷ 5?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 13 + 2 ÷ 3?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 3 − 7 ÷ 11?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 5 ÷ 6 − 3?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 5 ÷ 16 + 4?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 13 ÷ 11 − 16?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 14 − 20 × 10?
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 14 + 17 − 19?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 13 − 2 ÷ 2?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 3 + 9 × 3?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 8 ÷ 7 − 14?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 14 − 20 ÷ 7?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 8 ÷ 16 + 17?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 3 ÷ 7 − 7?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 14 − 2 + 14?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 16 × 10 + 7?

Answer key

  1. 7
  2. 136
  3. 61
  4. 28
  5. 17
  6. 93
  7. 23
  8. 135
  9. 302
  10. 94
  11. 54
  12. 0
  13. 66
  14. 140
  15. 20
  16. 19
  17. 32
  18. 17
  19. 47
  20. 28
  21. 6
  22. 53
  23. 41
  24. 160
  25. 18
  26. 22
  27. 53
  28. 26
  29. 93
  30. 178
  31. 94
  32. 226
  33. 37
  34. 45
  35. 13
  36. 291
  37. 116
  38. 0
  39. 105
  40. 307

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