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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 623 · 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 3 + 14 ÷ 2 − 10?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 12 + 11 × 20?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 14 ÷ 17 − 2?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 2 × 6 ÷ 15?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 14 ÷ 18 × 14?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 20 − 18 ÷ 5?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 3 + 5 ÷ 3?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 2 − 2 + 5?
  9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 3 − 9 × 5?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 20 − 12 × 15?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 2 ÷ 17 − 7?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 11 ÷ 12 − 15?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 3 × 11 ÷ 16?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 18 × 2 + 6?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 4 × 13 ÷ 6?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 14 + 7 − 9?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 3 + 2 − 20?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 19 + 3 − 18?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 6 ÷ 17 − 9?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 7 ÷ 2 × 10?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 16 ÷ 18 − 9?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 15 ÷ 9 × 20?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 20 − 5 × 10?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 11 × 12 + 3?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 16 − 11 ÷ 17?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 19 + 9 ÷ 15?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 2 − 2 ÷ 12?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 9 − 2 + 20?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 17 ÷ 6 + 14?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 13 + 11 ÷ 11?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 18 ÷ 13 + 18?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 8 ÷ 11 − 20?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 2 ÷ 11 − 18?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 14 − 15 + 9?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 20 ÷ 20 − 2?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 17 × 2 ÷ 6?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 12 ÷ 6 − 19?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 14 × 19 + 4?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 12 + 5 − 13?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 3 − 7 × 5?

Answer key

  1. 50
  2. 122
  3. 13
  4. 21
  5. 220
  6. 5
  7. 28
  8. 7
  9. 22
  10. 240
  11. 10
  12. 176
  13. 7
  14. 7
  15. 85
  16. 58
  17. 41
  18. 129
  19. 156
  20. 85
  21. 78
  22. 274
  23. 78
  24. 25
  25. 177
  26. 234
  27. 42
  28. 4
  29. 94
  30. 149
  31. 22
  32. 220
  33. 207
  34. 7
  35. 90
  36. 55
  37. 111
  38. 70
  39. 140
  40. 23

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