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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 534 · 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 − 17 ÷ 15 × 6?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 14 − 18 ÷ 14?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 18 × 8 ÷ 7?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 14 + 12 × 2?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 2 − 5 × 5?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 13 ÷ 2 × 7?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 17 + 2 ÷ 9?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 3 ÷ 18 × 17?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 9 ÷ 8 × 2?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 17 + 17 ÷ 16?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 14 ÷ 5 + 20?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 5 × 6 − 6?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 11 − 3 + 14?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 3 − 16 ÷ 10?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 11 − 11 × 4 ÷ 13?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 6 ÷ 9 + 4?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 15 + 18 ÷ 18?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 18 + 6 − 12?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 2 − 8 + 2?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 19 × 9 + 13?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 2 − 7 ÷ 15?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 15 ÷ 8 − 2?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 16 + 16 − 6?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 3 × 17 ÷ 6?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 18 ÷ 18 + 15?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 4 × 3 ÷ 19?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 3 ÷ 15 + 15?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 2 × 13 ÷ 17?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 7 ÷ 9 × 20?
  30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 2 ÷ 13 − 17?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 12 ÷ 20 + 12?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 8 ÷ 11 − 2?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 13 ÷ 11 − 2?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 5 × 9 + 2?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 3 + 2 ÷ 17?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 4 − 8 + 6?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 12 + 4 × 2?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 4 ÷ 16 × 13?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 10 × 19 ÷ 6?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 15 ÷ 8 − 12?

Answer key

  1. 144
  2. 242
  3. 45
  4. 17
  5. 27
  6. 252
  7. 41
  8. 1
  9. 4
  10. 3
  11. 102
  12. 12
  13. 35
  14. 30
  15. 53
  16. 49
  17. 270
  18. 204
  19. 18
  20. 111
  21. 16
  22. 204
  23. 22
  24. 106
  25. 315
  26. 58
  27. 9
  28. 228
  29. 3
  30. 9
  31. 236
  32. 24
  33. 10
  34. 47
  35. 21
  36. 51
  37. 166
  38. 17
  39. 87
  40. 88

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