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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 271 · 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 7 − 6 × 2 + 3?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 8 ÷ 2 + 2?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 18 ÷ 14 × 6?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 12 + 2 − 19?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 18 − 8 ÷ 19?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 3 + 14 − 20?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 15 − 6 ÷ 4?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 19 ÷ 11 + 11?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 7 − 9 × 7?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 11 ÷ 16 + 14?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 15 + 17 ÷ 5?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 8 − 2 + 11?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 9 + 17 ÷ 3?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 16 + 8 × 14?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 2 × 5 − 2?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 10 × 2 + 17?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 7 − 10 × 15?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 16 − 16 ÷ 4?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 12 − 2 × 4?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 20 − 10 + 11?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 4 ÷ 19 − 6?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 20 + 2 ÷ 2?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 2 ÷ 6 − 6?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 18 × 2 + 20?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 5 × 2 ÷ 6?
  26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 9 + 3 ÷ 15?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 3 + 2 ÷ 8?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 3 + 18 × 3?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 7 + 11 ÷ 3?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 20 × 6 ÷ 18?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 10 − 2 × 16?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 14 ÷ 6 × 4?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 14 × 19 − 13?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 13 − 9 ÷ 18?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 7 × 11 ÷ 13?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 2 ÷ 2 − 20?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 18 ÷ 5 + 13?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 20 ÷ 13 × 3?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 2 + 13 ÷ 4?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 2 − 4 ÷ 5?

Answer key

  1. 7
  2. 73
  3. 242
  4. 77
  5. 129
  6. 10
  7. 17
  8. 209
  9. 63
  10. 227
  11. 12
  12. 49
  13. 159
  14. 2
  15. 12
  16. 25
  17. 59
  18. 52
  19. 28
  20. 24
  21. 112
  22. 380
  23. 6
  24. 25
  25. 36
  26. 64
  27. 5
  28. 54
  29. 78
  30. 52
  31. 41
  32. 26
  33. 120
  34. 160
  35. 12
  36. 51
  37. 59
  38. 170
  39. 27
  40. 4

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