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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 324 · 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 6 + 7 − 12 ÷ 10?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 4 ÷ 7 × 20?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 8 − 20 + 4?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 16 − 2 ÷ 13?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 20 + 2 ÷ 6?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 18 + 2 × 17?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 13 − 11 + 7?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 10 ÷ 13 − 14?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 18 + 4 ÷ 8?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 17 + 18 × 3?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 8 + 8 × 3?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 16 × 9 − 17?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 16 ÷ 8 + 14?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 3 ÷ 19 × 19?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 17 − 2 ÷ 9?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 13 ÷ 6 − 2?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 17 ÷ 18 × 6?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 19 × 20 ÷ 2?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 17 × 6 ÷ 9?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 10 + 19 ÷ 20?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 10 − 4 + 11?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 9 + 9 ÷ 6?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 12 + 12 − 5?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 4 − 20 ÷ 20?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 16 × 13 − 19?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 14 ÷ 7 × 9?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 10 + 9 − 9?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 15 − 12 + 6?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 7 − 7 + 2?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 14 ÷ 18 × 17?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 15 + 16 ÷ 11?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 11 − 2 × 12?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 9 + 3 × 17?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 3 ÷ 6 − 17?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 12 × 16 ÷ 19?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 2 − 20 ÷ 3?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 15 + 3 − 13?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 3 ÷ 19 − 17?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 10 ÷ 7 × 14?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 16 × 5 ÷ 19?

Answer key

  1. 44
  2. 15
  3. 60
  4. 109
  5. 10
  6. 197
  7. 154
  8. 27
  9. 292
  10. 105
  11. 83
  12. 104
  13. 120
  14. 46
  15. 110
  16. 24
  17. 0
  18. 31
  19. 50
  20. 190
  21. 35
  22. 21
  23. 14
  24. 60
  25. 54
  26. 278
  27. 3
  28. 42
  29. 75
  30. 183
  31. 130
  32. 87
  33. 43
  34. 107
  35. 309
  36. 70
  37. 12
  38. 4
  39. 75
  40. 83

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