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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 385 · 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 8 − 14 × 19 ÷ 10?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 5 × 4 + 2?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 10 × 7 ÷ 2?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 13 ÷ 10 + 13?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 20 ÷ 9 × 9?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 18 − 5 + 6?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 9 × 14 ÷ 12?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 17 × 8 ÷ 20?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 13 × 5 + 4?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 15 ÷ 10 × 20?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 11 × 4 + 2?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 6 × 19 ÷ 8?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 17 × 9 ÷ 5?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 7 − 2 ÷ 8?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 12 ÷ 16 + 8?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 14 − 14 + 2?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 8 + 18 × 15?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 2 ÷ 20 + 4?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 6 ÷ 19 + 12?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 12 × 12 ÷ 13?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 4 − 4 × 16 ÷ 13?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 8 × 8 ÷ 20?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 9 − 12 + 2?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 15 + 6 × 6?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 4 × 5 ÷ 20?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 3 + 2 − 4?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 9 × 3 ÷ 10?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 16 + 18 ÷ 4?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 2 + 12 × 13?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 17 × 13 ÷ 16?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 4 ÷ 10 × 7?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 15 − 9 ÷ 12?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 2 + 9 ÷ 6?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 12 − 5 ÷ 18?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 6 − 9 ÷ 2?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 8 ÷ 19 × 8?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 13 − 6 × 5?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 3 − 9 ÷ 18?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 3 + 5 − 20?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 17 + 17 ÷ 5?

Answer key

  1. 103
  2. 15
  3. 6
  4. 12
  5. 0
  6. 26
  7. 20
  8. 22
  9. 11
  10. 70
  11. 23
  12. 77
  13. 166
  14. 17
  15. 122
  16. 16
  17. 93
  18. 76
  19. 225
  20. 179
  21. 4
  22. 172
  23. 78
  24. 22
  25. 98
  26. 11
  27. 133
  28. 299
  29. 13
  30. 326
  31. 51
  32. 137
  33. 31
  34. 59
  35. 0
  36. 43
  37. 105
  38. 5
  39. 69
  40. 15

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