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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 243 · 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 7 − 4 × 7 ÷ 15?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 6 ÷ 8 + 4?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 12 + 16 ÷ 13?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 14 + 2 × 3?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 19 ÷ 4 + 2?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 4 × 18 ÷ 3?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 3 + 10 − 5?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 13 ÷ 20 × 10?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 12 × 12 + 4?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 10 − 5 ÷ 2?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 3 × 9 − 9?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 13 ÷ 4 − 4?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 12 ÷ 14 × 6?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 5 + 4 × 14?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 14 × 2 − 5?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 4 × 8 + 8?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 19 + 19 × 6 − 9?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 9 − 3 × 6?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 5 − 18 × 12?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 4 − 15 × 12?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 15 × 7 − 18?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 15 × 13 ÷ 20?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 11 + 13 × 13?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 13 × 15 + 6?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 20 × 9 ÷ 20?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 17 − 12 + 5?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 18 − 4 + 4?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 12 − 12 + 3?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 7 × 6 − 17?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 13 − 7 × 9?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 6 + 7 ÷ 5?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 3 − 11 ÷ 4?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 19 ÷ 9 + 14?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 12 − 9 + 2?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 2 ÷ 20 + 10?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 16 − 12 × 5?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 6 ÷ 2 − 14?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 2 − 16 + 4?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 20 ÷ 16 × 12?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 9 − 18 ÷ 3?

Answer key

  1. 19
  2. 14
  3. 197
  4. 34
  5. 363
  6. 41
  7. 8
  8. 81
  9. 10
  10. 8
  11. 10
  12. 207
  13. 104
  14. 19
  15. 26
  16. 67
  17. 4
  18. 7
  19. 51
  20. 48
  21. 127
  22. 256
  23. 26
  24. 217
  25. 349
  26. 211
  27. 14
  28. 143
  29. 25
  30. 17
  31. 42
  32. 61
  33. 165
  34. 68
  35. 28
  36. 103
  37. 25
  38. 9
  39. 104
  40. 9

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