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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 972 · 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 5 − 2 + 11 ÷ 4?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 13 ÷ 15 + 15?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 9 + 12 × 7?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 10 − 5 × 12?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 17 ÷ 12 − 14?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 11 ÷ 20 + 12?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 5 − 19 × 5?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 10 + 15 − 13?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 12 + 2 − 16?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 16 × 17 ÷ 13?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 2 + 12 × 3?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 3 ÷ 5 − 19?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 5 ÷ 11 − 20?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 6 × 5 − 3?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 17 × 10 ÷ 20?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 9 − 18 × 4?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 15 − 5 × 7?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 2 ÷ 2 × 10?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 18 + 18 × 10?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 5 + 18 × 3?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 15 − 4 ÷ 11?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 13 + 17 ÷ 3?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 11 − 17 + 17?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 9 × 13 ÷ 15?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 5 × 20 ÷ 18?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 7 × 18 ÷ 3?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 × 5 − 4?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 19 × 17 − 14?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 13 ÷ 6 × 2?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 2 − 2 + 13?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 2 ÷ 10 − 5?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 9 + 3 ÷ 7?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 11 − 6 × 16?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 9 ÷ 3 × 13?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 14 + 20 ÷ 14?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 7 + 15 − 3?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 6 × 13 − 4?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 5 − 5 ÷ 20?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 10 + 5 − 5?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 15 ÷ 17 − 12?

Answer key

  1. 3
  2. 144
  3. 117
  4. 38
  5. 157
  6. 211
  7. 71
  8. 178
  9. 109
  10. 276
  11. 36
  12. 22
  13. 24
  14. 11
  15. 214
  16. 160
  17. 9
  18. 18
  19. 3
  20. 39
  21. 35
  22. 233
  23. 291
  24. 169
  25. 67
  26. 60
  27. 27
  28. 230
  29. 42
  30. 34
  31. 30
  32. 76
  33. 38
  34. 118
  35. 268
  36. 47
  37. 66
  38. 37
  39. 1
  40. 200

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