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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 576 · 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 19 + 9 ÷ 3 × 3?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 17 + 18 − 8?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 2 × 10 ÷ 5?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 20 ÷ 4 + 3?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 13 + 11 ÷ 16?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 9 + 9 ÷ 6?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 18 + 6 × 15?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 19 × 18 ÷ 5?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 4 − 13 × 8?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 10 × 2 + 6?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 16 ÷ 5 + 4?
  12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 9 − 7 ÷ 9?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 12 ÷ 3 − 9?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 4 + 17 ÷ 9?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 19 + 19 × 15 ÷ 16?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 19 ÷ 10 + 9?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 19 + 4 × 2?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 7 × 3 ÷ 17?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 14 × 14 + 7?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 5 + 12 ÷ 5?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 4 − 17 × 16?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 20 ÷ 2 + 13?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 19 ÷ 3 − 15?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 18 × 2 + 3?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 10 − 20 ÷ 18?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 5 ÷ 7 − 7?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 3 × 13 − 4?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 11 ÷ 3 × 4?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 13 − 18 ÷ 5?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 17 × 4 + 5?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 11 + 17 − 2?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 12 − 2 × 7?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 18 + 15 × 3?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 17 ÷ 13 + 4?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 4 + 4 − 12?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 9 + 6 × 10?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 20 ÷ 15 × 5?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 13 + 6 ÷ 9?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 3 − 3 × 3?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 3 − 5 ÷ 6?

Answer key

  1. 10
  2. 75
  3. 17
  4. 4
  5. 57
  6. 69
  7. 99
  8. 298
  9. 5
  10. 4
  11. 0
  12. 58
  13. 17
  14. 64
  15. 2
  16. 91
  17. 131
  18. 51
  19. 82
  20. 83
  21. 25
  22. 229
  23. 39
  24. 11
  25. 198
  26. 61
  27. 3
  28. 38
  29. 39
  30. 46
  31. 95
  32. 23
  33. 287
  34. 223
  35. 18
  36. 56
  37. 313
  38. 48
  39. 22
  40. 30

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