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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 212 · 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 8 ÷ 2 − 10 + 6?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 − 12 ÷ 20?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 9 − 5 ÷ 2?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 15 ÷ 11 + 19?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 6 + 13 − 3?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 13 × 14 ÷ 19?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 12 + 17 ÷ 8?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 3 ÷ 10 + 2?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 8 ÷ 18 + 3?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 20 + 17 × 3?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 9 − 2 ÷ 4?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 6 × 9 + 14?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 4 − 7 × 20?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 7 − 19 + 5?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 2 ÷ 6 − 3?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 18 × 19 − 2?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 2 ÷ 7 + 14?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 5 − 7 + 14?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 6 × 14 ÷ 2?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 18 + 3 − 9?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 10 − 18 + 4?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 18 + 4 ÷ 15?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 11 ÷ 3 − 2?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 5 − 7 ÷ 13?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 11 × 6 + 6?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 13 + 10 × 9?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 14 ÷ 11 − 7?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 9 ÷ 5 − 14?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 16 − 7 + 12?
  30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 3 ÷ 18 × 8?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 14 × 9 ÷ 14?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 19 × 4 − 20?
  33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 3 − 3 × 19?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 12 × 13 ÷ 2?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 14 − 7 + 19?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 16 × 19 − 7?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 6 − 3 ÷ 18?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 17 ÷ 18 + 9?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 10 × 17 ÷ 15?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 3 ÷ 13 × 16?

Answer key

  1. 22
  2. 28
  3. 4
  4. 157
  5. 37
  6. 264
  7. 15
  8. 22
  9. 152
  10. 357
  11. 5
  12. 135
  13. 16
  14. 126
  15. 45
  16. 39
  17. 0
  18. 27
  19. 33
  20. 21
  21. 74
  22. 209
  23. 13
  24. 14
  25. 23
  26. 181
  27. 164
  28. 75
  29. 70
  30. 60
  31. 163
  32. 81
  33. 2
  34. 121
  35. 89
  36. 136
  37. 27
  38. 4
  39. 62
  40. 42

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