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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 999 · 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 20 + 15 ÷ 11 − 19?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 5 − 15 × 3?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 8 − 18 + 12?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 11 + 20 ÷ 19?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 20 × 7 ÷ 4?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 4 + 14 × 14?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 14 × 12 + 11?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 10 ÷ 6 × 12?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 5 − 9 + 5?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 12 ÷ 14 − 19?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 4 − 3 + 2?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 7 − 7 × 10 ÷ 18?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 9 + 18 ÷ 14?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 6 + 13 × 13?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 18 ÷ 3 − 13?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 2 − 17 × 14?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 16 + 4 × 16?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 5 + 9 × 9?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 14 × 2 − 18?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 7 ÷ 19 + 19?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 12 + 2 − 8?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 4 × 15 + 5?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 17 ÷ 6 + 2?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 8 ÷ 9 − 4?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 7 ÷ 19 × 4?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 6 ÷ 8 + 8?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 19 × 19 − 11?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 11 ÷ 11 + 18?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 13 ÷ 2 − 19?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 20 + 5 × 8?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 18 × 8 ÷ 15?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 6 + 14 × 4?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 2 + 4 − 8?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 10 ÷ 20 − 11?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 15 ÷ 10 − 4?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 9 ÷ 16 × 12?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 7 × 5 − 5?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 18 − 3 + 2?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 2 × 18 + 16?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 13 ÷ 12 × 4?

Answer key

  1. 308
  2. 4
  3. 16
  4. 142
  5. 217
  6. 23
  7. 131
  8. 74
  9. 58
  10. 262
  11. 27
  12. 9
  13. 158
  14. 24
  15. 370
  16. 54
  17. 4
  18. 18
  19. 35
  20. 14
  21. 15
  22. 62
  23. 242
  24. 25
  25. 36
  26. 66
  27. 2
  28. 121
  29. 13
  30. 2
  31. 209
  32. 38
  33. 18
  34. 221
  35. 44
  36. 157
  37. 20
  38. 72
  39. 40
  40. 60

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