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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 881 · 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 10 ÷ 6 + 3 − 13?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 7 + 2 × 6?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 11 × 16 − 2?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 16 + 11 ÷ 2?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 18 × 15 ÷ 6?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 8 + 11 − 11?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 14 × 11 − 11?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 18 ÷ 18 − 4?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 4 ÷ 18 × 3?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 5 ÷ 7 − 7?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 4 + 4 − 2?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 13 − 13 × 13?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 6 − 3 ÷ 13?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 6 × 6 + 10?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 19 ÷ 8 + 12?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 2 + 5 ÷ 19?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 20 × 8 + 8?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 3 ÷ 13 + 20?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 16 × 11 ÷ 2?
  20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 8 + 6 ÷ 2?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 10 − 13 ÷ 10?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 9 × 6 − 11?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 12 × 17 + 14?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 8 × 18 − 6?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 3 × 13 ÷ 14?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 15 ÷ 18 × 7?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 11 + 8 ÷ 17?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 5 × 6 − 6?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 10 × 8 − 4?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 6 × 18 + 11?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 4 × 19 ÷ 14?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 8 + 10 × 5?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 15 × 11 + 3?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 5 − 12 + 4?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 18 ÷ 4 × 15?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 20 ÷ 19 − 13?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 6 ÷ 7 × 2?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 11 + 9 × 6?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 9 − 3 + 14 × 14?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 4 + 10 − 5?

Answer key

  1. 70
  2. 60
  3. 206
  4. 215
  5. 12
  6. 10
  7. 4
  8. 346
  9. 18
  10. 25
  11. 42
  12. 19
  13. 9
  14. 67
  15. 147
  16. 69
  17. 2
  18. 269
  19. 23
  20. 64
  21. 23
  22. 20
  23. 237
  24. 51
  25. 16
  26. 259
  27. 79
  28. 13
  29. 31
  30. 198
  31. 55
  32. 123
  33. 12
  34. 31
  35. 97
  36. 233
  37. 13
  38. 97
  39. 3
  40. 15

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