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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 323 · 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 9 × 16 + 2 − 15?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 3 − 19 × 9?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 14 ÷ 6 × 14?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 5 ÷ 14 + 2?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 4 + 19 ÷ 4?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 12 × 9 ÷ 5?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 10 × 3 ÷ 14?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 8 − 2 + 2?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 7 ÷ 6 × 8?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 15 − 12 ÷ 17?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 6 × 3 ÷ 18?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 16 × 11 ÷ 2?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 9 + 9 ÷ 15?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 9 + 9 − 15?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 7 − 12 ÷ 10?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 10 − 7 × 4?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 13 ÷ 17 − 18?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 18 − 3 + 11?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 20 − 10 + 5?
  20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 15 − 17 × 12?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 14 − 12 + 13?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 9 + 8 × 2?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 8 × 11 − 6?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 2 − 7 + 3?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 15 ÷ 20 − 2?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 9 − 19 ÷ 2?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 7 × 18 + 4?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 16 − 20 × 8?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 10 ÷ 13 − 6?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 14 + 10 × 9?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 16 − 16 + 16?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 17 ÷ 7 × 3?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 16 ÷ 11 − 6?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 14 + 2 ÷ 18?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 10 − 4 ÷ 8?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 3 ÷ 4 − 18?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 19 × 5 ÷ 7?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 17 × 14 − 4?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 14 − 4 ÷ 11?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 13 − 5 + 12?

Answer key

  1. 16
  2. 86
  3. 160
  4. 70
  5. 90
  6. 212
  7. 139
  8. 20
  9. 65
  10. 25
  11. 87
  12. 23
  13. 8
  14. 18
  15. 123
  16. 24
  17. 305
  18. 11
  19. 162
  20. 155
  21. 153
  22. 176
  23. 68
  24. 30
  25. 265
  26. 134
  27. 73
  28. 325
  29. 83
  30. 16
  31. 34
  32. 268
  33. 27
  34. 18
  35. 32
  36. 20
  37. 382
  38. 262
  39. 77
  40. 55

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