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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 197 · 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 ÷ 4 × 9 + 3?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 13 + 4 ÷ 12?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 6 + 4 ÷ 19?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 17 × 9 + 7?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 12 ÷ 15 + 6?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 19 + 6 × 3?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 2 − 9 × 3?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 14 + 12 ÷ 17?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 20 × 10 − 14?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 10 × 18 ÷ 10?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 4 × 7 + 8?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 7 − 2 × 18?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 17 + 7 ÷ 3?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 4 − 19 ÷ 6?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 2 × 7 − 16?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 7 × 20 ÷ 16?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 4 × 2 − 10?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 17 + 4 × 19?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 10 × 6 ÷ 12?
  20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 14 ÷ 6 × 10?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 7 − 6 ÷ 9?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 2 − 3 + 3?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 12 × 15 − 11?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 2 ÷ 18 − 10?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 4 + 14 ÷ 6?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 8 + 2 × 19?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 11 − 17 + 16?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 13 − 6 ÷ 17?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 16 × 10 + 5?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 5 − 14 + 10?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 11 − 4 + 13?
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 15 − 10 + 4?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 14 + 20 − 7?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 14 ÷ 12 + 13?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 18 − 16 × 9?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 14 ÷ 18 + 7?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 10 × 10 ÷ 2?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 3 − 3 + 14 ÷ 3?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 4 + 3 × 6?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 9 × 4 ÷ 18?

Answer key

  1. 7
  2. 77
  3. 13
  4. 257
  5. 42
  6. 187
  7. 33
  8. 145
  9. 38
  10. 174
  11. 67
  12. 19
  13. 0
  14. 115
  15. 129
  16. 73
  17. 15
  18. 51
  19. 44
  20. 86
  21. 51
  22. 17
  23. 116
  24. 64
  25. 57
  26. 18
  27. 174
  28. 94
  29. 22
  30. 75
  31. 24
  32. 141
  33. 44
  34. 157
  35. 51
  36. 44
  37. 148
  38. 11
  39. 3
  40. 176

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