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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 139 · 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 − 2 ÷ 19 + 4?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 5 × 4 − 20?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 2 − 12 ÷ 12?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 13 + 8 × 9?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 15 ÷ 4 + 7?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 5 ÷ 14 + 19?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 17 × 17 − 9?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 12 − 6 × 4?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 18 × 12 ÷ 14?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 7 + 6 − 14?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 12 − 16 ÷ 7?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 3 − 12 ÷ 9?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 11 ÷ 4 − 2?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 18 × 6 + 15?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 3 + 19 × 5?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 11 × 4 − 9?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 13 − 9 + 19?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 10 ÷ 5 − 3?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 3 + 7 ÷ 17?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 15 × 2 ÷ 13?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 6 ÷ 11 − 4?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 8 × 3 + 14?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 7 − 4 ÷ 9?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 7 + 15 ÷ 17?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 13 − 5 ÷ 4?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 5 ÷ 13 + 6?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 5 + 11 × 6?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 7 × 18 − 6?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 20 × 8 − 2?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 15 ÷ 13 × 10?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 2 ÷ 4 + 5?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 4 + 2 ÷ 7?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 16 ÷ 2 − 8?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 4 − 12 + 12?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 14 × 10 ÷ 14?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 19 ÷ 14 − 2?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 12 × 11 − 17?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 16 − 2 + 17?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 4 × 14 ÷ 12?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 18 × 16 ÷ 17?

Answer key

  1. 31
  2. 40
  3. 154
  4. 144
  5. 4
  6. 55
  7. 20
  8. 28
  9. 74
  10. 7
  11. 16
  12. 18
  13. 4
  14. 1
  15. 34
  16. 29
  17. 163
  18. 8
  19. 11
  20. 79
  21. 83
  22. 101
  23. 27
  24. 142
  25. 17
  26. 68
  27. 55
  28. 11
  29. 294
  30. 117
  31. 18
  32. 30
  33. 21
  34. 48
  35. 146
  36. 11
  37. 198
  38. 138
  39. 34
  40. 0

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