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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 1 · 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 12 − 3 ÷ 5 + 9?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 20 × 4 + 12?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 2 × 5 ÷ 8?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 12 ÷ 18 × 14?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 5 − 9 + 4?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 16 ÷ 6 × 2?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 18 ÷ 19 − 8?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 2 + 16 − 16?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 18 − 15 + 5?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 17 + 14 ÷ 16?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 15 ÷ 10 − 13?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 9 × 9 − 18?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 12 ÷ 12 − 3?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 12 + 20 × 10?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 20 − 14 + 5?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 7 + 6 − 9?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 2 − 2 ÷ 19?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 8 ÷ 12 + 9?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 19 × 5 ÷ 7?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 18 − 4 + 19?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 7 − 14 ÷ 11?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 16 + 20 − 6?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 20 ÷ 13 − 2?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 8 + 5 ÷ 2?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 17 ÷ 4 × 8?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 5 ÷ 7 × 12?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 15 + 9 × 11?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 2 × 20 ÷ 20?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 5 + 10 × 10?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 3 − 10 ÷ 9?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 3 − 6 × 11?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 9 ÷ 6 + 11?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 6 + 19 ÷ 7?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 14 − 4 ÷ 10?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 13 − 13 ÷ 20?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 12 × 16 + 8?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 9 + 9 − 10?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 5 − 6 + 8?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 5 × 10 + 19?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 5 + 8 ÷ 15?

Answer key

  1. 18
  2. 13
  3. 27
  4. 20
  5. 45
  6. 84
  7. 144
  8. 8
  9. 154
  10. 36
  11. 63
  12. 28
  13. 171
  14. 82
  15. 129
  16. 52
  17. 28
  18. 19
  19. 135
  20. 71
  21. 101
  22. 10
  23. 12
  24. 12
  25. 251
  26. 30
  27. 140
  28. 404
  29. 0
  30. 38
  31. 19
  32. 63
  33. 124
  34. 56
  35. 164
  36. 20
  37. 26
  38. 35
  39. 192
  40. 107

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