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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 165 · 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 + 4 ÷ 15 − 16?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 18 × 10 + 5?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 14 − 10 × 16?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 4 × 2 + 12?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 11 − 16 ÷ 7?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 20 + 9 × 7?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 11 ÷ 16 × 8?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 13 − 15 ÷ 3?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 12 − 3 × 12?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 10 + 7 − 19?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 7 × 6 ÷ 14?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 11 − 17 ÷ 2?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 15 × 15 − 8?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 9 − 10 ÷ 7?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 12 × 3 + 3?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 15 × 3 ÷ 14?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 5 + 8 − 20?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 18 − 9 × 14?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 4 − 20 + 14?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 19 × 3 ÷ 7?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 9 + 3 × 4?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 2 + 15 − 13?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 17 + 19 × 7?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 18 × 17 − 19?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 6 − 17 ÷ 9?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 4 × 9 ÷ 5?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 5 − 13 × 5?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 4 + 4 − 9?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 10 + 5 ÷ 6?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 9 × 6 ÷ 20?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 10 + 2 − 9?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 6 × 17 ÷ 15?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 7 × 9 ÷ 12?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 4 × 13 + 17?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 13 − 2 + 18?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 2 ÷ 3 + 11?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 6 + 3 × 14?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 2 × 18 ÷ 14?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 3 ÷ 13 + 10?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 15 × 4 − 19?

Answer key

  1. 248
  2. 200
  3. 218
  4. 2
  5. 110
  6. 278
  7. 57
  8. 37
  9. 2
  10. 92
  11. 90
  12. 191
  13. 18
  14. 84
  15. 107
  16. 46
  17. 11
  18. 28
  19. 83
  20. 26
  21. 16
  22. 58
  23. 56
  24. 200
  25. 100
  26. 60
  27. 63
  28. 6
  29. 71
  30. 121
  31. 8
  32. 4
  33. 110
  34. 221
  35. 112
  36. 2
  37. 24
  38. 261
  39. 137
  40. 70

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