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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 680 · 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 5 ÷ 9 × 16 + 15?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 12 ÷ 12 + 14?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 × 11 − 3 + 11?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 19 − 4 + 11?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 19 − 14 ÷ 11?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 16 + 4 ÷ 13?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 11 ÷ 2 − 2?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 12 ÷ 11 × 2?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 19 + 19 ÷ 5?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 4 − 5 × 2?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 3 × 19 ÷ 7?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 2 − 17 ÷ 10?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 16 + 12 − 8?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 7 ÷ 17 + 5?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 16 − 5 ÷ 18?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 3 ÷ 14 + 14?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 6 + 4 − 6?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 2 × 16 ÷ 9?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 12 − 2 ÷ 11?
  20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 8 − 9 ÷ 6?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 2 × 10 − 4?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 6 − 4 ÷ 16?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 18 × 2 ÷ 11?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 9 × 9 − 11?
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 14 × 7 − 11?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 12 − 14 + 5?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 3 × 5 − 12?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 11 ÷ 20 − 10?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 19 × 15 ÷ 13?
  30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 12 + 6 − 19?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 5 ÷ 20 × 2?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 7 × 7 ÷ 12?
  33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 4 − 3 ÷ 2?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 20 × 5 ÷ 8?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 4 − 7 ÷ 9?
  36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 18 × 4 ÷ 9?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 12 ÷ 15 + 19?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 2 − 13 ÷ 6?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 14 ÷ 3 + 20?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 3 ÷ 14 × 16?

Answer key

  1. 46
  2. 141
  3. 34
  4. 40
  5. 154
  6. 47
  7. 153
  8. 141
  9. 17
  10. 12
  11. 45
  12. 179
  13. 92
  14. 133
  15. 307
  16. 33
  17. 0
  18. 5
  19. 0
  20. 123
  21. 49
  22. 37
  23. 19
  24. 65
  25. 39
  26. 67
  27. 68
  28. 100
  29. 340
  30. 41
  31. 13
  32. 30
  33. 10
  34. 20
  35. 1
  36. 301
  37. 188
  38. 94
  39. 51
  40. 72

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