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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 396 · 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 4 − 20 ÷ 10 + 14?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 13 + 6 − 6?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 17 ÷ 15 + 20?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 7 + 5 × 4?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 5 ÷ 7 − 4?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 12 − 6 × 6?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 17 ÷ 7 + 6?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 20 × 10 + 10?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 17 × 16 − 3?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 17 ÷ 5 × 17?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 15 − 3 × 8?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 16 + 12 × 2?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 2 + 20 × 11?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 5 × 4 − 17?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 17 ÷ 8 + 5?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 6 + 3 − 4?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 6 + 3 ÷ 10?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 10 + 7 × 7?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 9 × 4 ÷ 5?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 18 × 11 ÷ 12?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 15 × 5 − 11?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 15 − 5 × 9?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 18 − 2 × 14?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 6 × 3 ÷ 4?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 17 ÷ 11 + 7?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 12 − 3 ÷ 7?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 2 ÷ 16 + 9?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 3 ÷ 3 − 4?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 3 − 6 ÷ 14?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 3 ÷ 18 − 17?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 15 − 5 × 19 ÷ 17?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 20 ÷ 10 × 8?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 6 − 16 + 18?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 11 ÷ 3 + 3?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 18 ÷ 6 − 5?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 4 + 12 ÷ 15?
  37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 4 ÷ 8 − 2?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 13 − 3 ÷ 9?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 12 × 3 − 14?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 3 − 3 ÷ 11?

Answer key

  1. 190
  2. 17
  3. 301
  4. 62
  5. 0
  6. 0
  7. 120
  8. 239
  9. 47
  10. 8
  11. 9
  12. 207
  13. 189
  14. 79
  15. 37
  16. 20
  17. 19
  18. 170
  19. 28
  20. 30
  21. 39
  22. 33
  23. 330
  24. 8
  25. 344
  26. 21
  27. 31
  28. 6
  29. 22
  30. 11
  31. 5
  32. 158
  33. 94
  34. 14
  35. 14
  36. 23
  37. 50
  38. 4
  39. 30
  40. 7

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