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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 402 · 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 19 − 12 + 2 ÷ 7?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 6 − 6 × 18?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 11 + 8 ÷ 9?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 7 ÷ 11 × 16?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 17 − 10 + 9?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 8 − 11 + 6?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 10 × 6 + 8?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 20 × 12 − 20?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 5 ÷ 13 + 19?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 19 + 12 − 19?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 15 + 11 − 14?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 18 ÷ 9 + 4?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 9 + 12 ÷ 7?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 12 × 12 + 12?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 20 + 7 × 7?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 15 + 18 − 2?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 7 − 2 × 4?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 11 × 17 ÷ 11?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 15 × 5 − 12?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 12 × 3 + 5?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 12 × 4 + 4?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 6 − 6 + 6?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 10 + 4 − 15?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 14 + 2 ÷ 10?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 2 ÷ 10 × 12?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 3 ÷ 2 − 2?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 2 × 10 ÷ 4?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 7 ÷ 4 × 6?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 2 × 5 + 19?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 6 + 11 − 6?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 15 − 4 + 15?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 10 × 18 − 7?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 15 × 5 − 8?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 16 × 20 ÷ 5?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 19 + 19 − 3?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 8 ÷ 9 − 19?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 3 + 3 × 14?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 7 × 18 + 9?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 18 ÷ 16 − 13?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 10 − 18 × 17?

Answer key

  1. 233
  2. 6
  3. 89
  4. 131
  5. 173
  6. 65
  7. 7
  8. 108
  9. 14
  10. 19
  11. 93
  12. 160
  13. 31
  14. 8
  15. 36
  16. 9
  17. 21
  18. 16
  19. 48
  20. 51
  21. 28
  22. 18
  23. 20
  24. 246
  25. 32
  26. 2
  27. 6
  28. 16
  29. 106
  30. 13
  31. 65
  32. 125
  33. 31
  34. 207
  35. 22
  36. 82
  37. 17
  38. 22
  39. 69
  40. 151

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