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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 848 · 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 − 6 + 15 ÷ 13?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 14 ÷ 8 + 7?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 4 + 14 ÷ 7?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 4 + 16 ÷ 9?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 2 − 4 ÷ 7?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 20 ÷ 11 × 13?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 5 ÷ 7 + 3?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 19 + 9 ÷ 3?
  9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 4 − 16 × 15?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 20 ÷ 18 × 14?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 15 ÷ 13 × 7?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 12 × 4 + 5?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 13 − 10 + 5?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 9 + 12 × 18?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 17 × 14 + 7?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 19 + 10 × 3?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 12 + 10 × 6?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 3 × 19 + 11?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 4 − 5 × 10?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 15 × 12 ÷ 9?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 11 − 12 ÷ 12?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 3 × 3 + 6?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 5 − 2 ÷ 13?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 14 ÷ 11 × 5?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 7 − 12 × 10?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 6 × 12 ÷ 16?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 19 ÷ 5 × 16?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 3 − 6 × 2?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 6 − 6 × 10?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 14 ÷ 8 + 2?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 6 − 2 ÷ 3?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 3 + 19 × 12?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 4 × 8 ÷ 10?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 18 ÷ 6 − 12?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 9 × 15 ÷ 9?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 20 ÷ 19 − 7?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 2 + 2 ÷ 20?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 10 ÷ 13 × 2?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 15 ÷ 7 × 19?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 5 ÷ 2 × 3?

Answer key

  1. 118
  2. 124
  3. 57
  4. 67
  5. 13
  6. 242
  7. 18
  8. 11
  9. 57
  10. 396
  11. 279
  12. 31
  13. 29
  14. 78
  15. 287
  16. 126
  17. 104
  18. 38
  19. 22
  20. 72
  21. 33
  22. 1
  23. 21
  24. 92
  25. 16
  26. 14
  27. 65
  28. 28
  29. 13
  30. 186
  31. 119
  32. 69
  33. 4
  34. 59
  35. 156
  36. 248
  37. 34
  38. 131
  39. 93
  40. 71

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