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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 731 · 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 2 × 16 + 2 − 2?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 18 − 14 ÷ 18?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 19 × 6 ÷ 11?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 4 × 16 − 8?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 9 − 10 ÷ 5?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 18 + 13 − 15?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 15 × 19 − 20?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 15 ÷ 10 − 16?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 2 ÷ 20 × 6?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 7 × 15 ÷ 9?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 18 − 18 ÷ 16?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 10 ÷ 6 − 10?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 6 ÷ 14 + 5?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 14 ÷ 2 × 4?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 3 − 13 + 9?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 2 × 4 − 6?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 17 × 11 ÷ 20?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 10 + 19 × 4?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 2 × 3 + 15?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 4 × 6 − 10?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 19 + 15 × 13?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 9 × 9 + 6?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 5 × 17 + 3?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 6 ÷ 18 − 6?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 14 ÷ 3 − 12?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 20 + 3 ÷ 4?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 12 + 12 − 19?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 4 ÷ 15 × 8?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 12 − 14 + 18?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 9 − 19 ÷ 5?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 10 + 3 × 9?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 20 + 2 × 8?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 3 − 2 ÷ 16?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 16 ÷ 4 − 5?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 6 ÷ 10 × 15?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 12 × 3 ÷ 9?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 7 − 5 ÷ 18?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 17 − 16 × 12?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 3 − 6 ÷ 15?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 3 ÷ 20 + 8?

Answer key

  1. 18
  2. 320
  3. 52
  4. 78
  5. 93
  6. 308
  7. 271
  8. 158
  9. 32
  10. 132
  11. 279
  12. 134
  13. 84
  14. 35
  15. 10
  16. 12
  17. 208
  18. 25
  19. 22
  20. 58
  21. 131
  22. 15
  23. 65
  24. 113
  25. 41
  26. 11
  27. 24
  28. 51
  29. 80
  30. 186
  31. 56
  32. 108
  33. 5
  34. 129
  35. 1
  36. 7
  37. 30
  38. 29
  39. 21
  40. 36

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