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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 789 · 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 14 × 17 + 8 ÷ 2?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 2 ÷ 5 × 6?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 3 ÷ 13 × 4?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 14 − 16 ÷ 5?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 20 + 9 × 18?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 14 − 13 ÷ 18?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 19 ÷ 9 − 20?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 13 × 3 ÷ 8?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 6 × 2 ÷ 18?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 6 + 3 × 15?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 16 × 7 − 15?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 8 + 7 − 8?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 10 − 10 × 8?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 9 × 19 ÷ 2?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 2 − 4 × 11?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 12 × 14 ÷ 14?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 10 × 14 ÷ 6?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 10 − 15 + 17?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 10 + 2 ÷ 10?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 16 × 11 ÷ 17?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 14 ÷ 11 × 11?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 5 − 15 × 10?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 6 × 17 ÷ 10?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 19 ÷ 13 × 11?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 3 + 16 − 4?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 18 + 3 × 19?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 10 × 15 ÷ 13?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 9 − 7 + 6?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 6 ÷ 16 + 3?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 4 + 2 × 16?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 8 − 4 × 20?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 10 + 2 − 2?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 18 × 18 − 18?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 5 − 9 × 11?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 11 ÷ 18 × 6?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 6 ÷ 7 + 2?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 2 × 8 − 4?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 15 ÷ 16 × 3?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 3 ÷ 12 × 2?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 3 ÷ 17 − 19?

Answer key

  1. 15
  2. 9
  3. 50
  4. 81
  5. 69
  6. 37
  7. 167
  8. 86
  9. 22
  10. 21
  11. 101
  12. 8
  13. 10
  14. 89
  15. 16
  16. 168
  17. 162
  18. 18
  19. 50
  20. 250
  21. 0
  22. 85
  23. 41
  24. 207
  25. 13
  26. 124
  27. 187
  28. 51
  29. 67
  30. 26
  31. 36
  32. 28
  33. 21
  34. 21
  35. 87
  36. 42
  37. 35
  38. 257
  39. 32
  40. 339

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