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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 525 · 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 − 8 + 19 ÷ 9?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 15 × 15 ÷ 2?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 2 ÷ 2 + 2?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 6 × 6 ÷ 9?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 3 − 11 + 10?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 2 + 18 − 12?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 17 ÷ 14 × 3?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 12 ÷ 17 + 4?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 10 ÷ 9 + 18?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 6 ÷ 20 + 12?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 20 × 12 − 6?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 12 − 15 × 12?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 × 20 − 4?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 3 ÷ 3 × 11?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 3 − 20 ÷ 8?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 5 ÷ 2 − 2?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 13 − 8 + 8?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 3 + 18 × 15?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 17 − 11 ÷ 4?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 10 + 2 ÷ 16?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 2 × 6 − 17?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 3 − 13 + 16?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 10 + 4 − 6?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 9 ÷ 8 − 12?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 10 + 13 − 13?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 9 + 9 − 3?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 20 − 17 ÷ 11?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 2 ÷ 6 − 3?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 8 − 19 ÷ 10?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 8 × 19 ÷ 3?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 3 ÷ 4 + 13?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 16 × 4 ÷ 15?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 13 ÷ 20 − 10?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 6 × 9 ÷ 15?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 6 ÷ 18 − 3?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 9 × 3 ÷ 3?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 12 ÷ 6 × 19?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 9 − 15 ÷ 19?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 8 × 18 ÷ 20?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 3 ÷ 7 × 9?

Answer key

  1. 62
  2. 62
  3. 15
  4. 75
  5. 25
  6. 8
  7. 40
  8. 207
  9. 74
  10. 28
  11. 202
  12. 33
  13. 84
  14. 7
  15. 69
  16. 49
  17. 157
  18. 46
  19. 35
  20. 8
  21. 105
  22. 27
  23. 14
  24. 95
  25. 21
  26. 33
  27. 28
  28. 17
  29. 191
  30. 48
  31. 59
  32. 16
  33. 190
  34. 24
  35. 63
  36. 171
  37. 71
  38. 130
  39. 158
  40. 7

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