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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 284 · 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 16 × 12 − 2 ÷ 14?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 5 − 13 ÷ 8?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 2 − 8 × 4?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 3 × 4 ÷ 15?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 10 ÷ 3 − 6?
  6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 11 − 13 × 5?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 8 − 3 × 16?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 7 + 9 ÷ 9?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 6 × 8 ÷ 5?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 11 − 11 + 2?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 6 × 4 ÷ 20?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 2 + 6 × 4?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 18 ÷ 8 + 20?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 4 × 19 + 19?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 10 ÷ 15 × 13?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 14 + 10 − 10?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 9 ÷ 17 + 4?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 14 + 8 ÷ 10?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 8 ÷ 7 + 5?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 16 ÷ 4 × 5?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 14 ÷ 13 + 15?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 4 × 4 ÷ 4?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 20 ÷ 10 + 4?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 10 + 7 × 9?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 6 × 4 + 12?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 3 ÷ 3 × 2?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 18 ÷ 19 + 17?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 14 − 19 × 19?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 10 ÷ 8 − 8?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 9 + 18 ÷ 11?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 11 ÷ 11 × 17?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 4 + 3 ÷ 2?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 6 ÷ 5 + 19?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 20 ÷ 10 × 5?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 2 + 2 − 2?
  36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 20 ÷ 11 × 18?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 6 ÷ 13 × 5?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 7 ÷ 16 × 20?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 4 ÷ 18 + 11?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 2 × 11 ÷ 3?

Answer key

  1. 32
  2. 71
  3. 16
  4. 28
  5. 16
  6. 118
  7. 25
  8. 77
  9. 75
  10. 108
  11. 50
  12. 10
  13. 144
  14. 5
  15. 192
  16. 97
  17. 168
  18. 25
  19. 35
  20. 193
  21. 166
  22. 19
  23. 205
  24. 3
  25. 61
  26. 5
  27. 341
  28. 127
  29. 72
  30. 155
  31. 28
  32. 79
  33. 28
  34. 378
  35. 22
  36. 47
  37. 122
  38. 66
  39. 51
  40. 24

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