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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 230 · 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 − 4 + 8 ÷ 5?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 11 × 14 − 19?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 5 + 15 − 15?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 6 × 6 − 9?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 13 × 11 + 11?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 12 ÷ 9 × 9?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 4 − 7 ÷ 7?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 12 + 6 × 3?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 4 × 15 + 15?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 4 + 20 ÷ 12?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 17 − 17 + 9?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 4 − 15 ÷ 9?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 8 − 13 ÷ 17?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 15 × 6 ÷ 2?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 4 − 12 × 12?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 3 − 3 ÷ 5?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 4 ÷ 6 + 2?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 × 7 − 8 ÷ 19?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 6 − 10 ÷ 7?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 2 ÷ 15 − 19?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 5 × 20 + 4?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 9 + 12 × 19?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 17 − 19 × 19?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 6 × 13 ÷ 12?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 × 8 ÷ 10 − 16?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 10 + 2 × 3?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 18 ÷ 10 + 2?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 18 ÷ 18 − 8?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 3 − 11 ÷ 6?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 3 + 12 − 2?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 17 − 16 ÷ 5?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 4 − 7 × 4?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 6 − 3 + 9?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 12 ÷ 9 × 11?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 2 × 3 ÷ 13?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 18 × 19 ÷ 20?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 4 − 12 × 4?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 7 × 2 − 2?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 8 − 19 × 4?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 18 − 14 × 13?

Answer key

  1. 9
  2. 259
  3. 9
  4. 11
  5. 90
  6. 48
  7. 51
  8. 19
  9. 14
  10. 81
  11. 9
  12. 74
  13. 231
  14. 191
  15. 0
  16. 22
  17. 21
  18. 27
  19. 66
  20. 288
  21. 10
  22. 25
  23. 25
  24. 107
  25. 161
  26. 2
  27. 3
  28. 143
  29. 69
  30. 4
  31. 73
  32. 0
  33. 36
  34. 86
  35. 2
  36. 2
  37. 31
  38. 97
  39. 151
  40. 307

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