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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 730 · 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 − 5 × 4 ÷ 6?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 5 − 18 + 9?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 16 − 8 × 5?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 8 − 19 ÷ 18?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 6 − 14 ÷ 11?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 10 ÷ 14 − 12?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 8 × 11 ÷ 9?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 17 ÷ 15 × 5?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 16 × 19 − 7?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 12 × 8 − 8?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 12 × 4 + 12?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 11 ÷ 15 + 5?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 12 + 3 − 8?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 5 − 2 ÷ 4?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 12 × 10 − 2?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 20 − 18 + 20?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 9 ÷ 19 − 13?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 20 − 4 ÷ 8?
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 15 + 12 ÷ 9?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 13 + 13 × 14?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 6 + 11 × 3?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 17 − 20 + 6?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 8 − 4 ÷ 15?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 16 ÷ 6 + 18?
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 6 + 16 − 6?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 14 + 8 ÷ 7?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 16 ÷ 2 × 2?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 12 × 8 ÷ 7?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 16 × 10 ÷ 15?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 6 × 15 + 6?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 18 − 9 ÷ 9?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 5 × 3 ÷ 2?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 8 − 13 × 13?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 20 × 2 + 6?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 15 − 17 × 3?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 7 + 7 ÷ 14 − 10?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 14 × 16 + 4?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 8 × 3 ÷ 11?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 18 + 17 × 13?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 5 + 13 ÷ 10?

Answer key

  1. 16
  2. 174
  3. 23
  4. 348
  5. 154
  6. 169
  7. 106
  8. 197
  9. 122
  10. 26
  11. 7
  12. 5
  13. 64
  14. 9
  15. 24
  16. 2
  17. 243
  18. 16
  19. 173
  20. 3
  21. 3
  22. 99
  23. 77
  24. 99
  25. 8
  26. 223
  27. 225
  28. 193
  29. 315
  30. 92
  31. 36
  32. 16
  33. 17
  34. 156
  35. 18
  36. 24
  37. 82
  38. 48
  39. 86
  40. 32

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