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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 908 · 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 13 − 18 + 6 ÷ 19?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 9 − 3 ÷ 10?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 8 ÷ 17 − 13?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 4 + 18 ÷ 10?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 16 × 8 ÷ 19?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 15 + 6 ÷ 18?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 13 + 2 ÷ 6?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 6 + 2 ÷ 15?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 20 × 5 ÷ 6?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 12 − 6 + 7?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 16 ÷ 8 × 6?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 17 + 17 − 4 ÷ 5?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 11 ÷ 11 − 16?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 2 + 18 × 9?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 4 ÷ 6 + 3?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 7 × 18 + 9?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 5 − 5 ÷ 3 + 4?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 5 ÷ 2 + 6?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 11 × 20 − 11?
  20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 12 ÷ 6 + 9?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 19 × 7 + 10?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 7 ÷ 17 − 4?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 11 × 20 + 4?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 16 − 2 × 12?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 15 × 15 ÷ 6?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 10 + 6 − 3?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 19 × 9 ÷ 2?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 9 × 2 + 15?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 20 ÷ 16 × 8?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 9 − 19 + 16?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 × 17 − 10 ÷ 7?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 13 × 19 + 17?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 9 × 7 + 14?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 14 + 7 × 6?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 19 − 7 × 19?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 3 × 5 ÷ 4?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 6 × 19 ÷ 13?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 15 + 5 × 6?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 10 − 5 × 12?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 13 × 15 ÷ 15?

Answer key

  1. 70
  2. 12
  3. 223
  4. 64
  5. 45
  6. 83
  7. 29
  8. 115
  9. 2
  10. 2
  11. 162
  12. 21
  13. 169
  14. 11
  15. 24
  16. 96
  17. 13
  18. 11
  19. 46
  20. 20
  21. 111
  22. 66
  23. 73
  24. 18
  25. 66
  26. 37
  27. 88
  28. 77
  29. 388
  30. 84
  31. 17
  32. 28
  33. 119
  34. 44
  35. 127
  36. 19
  37. 126
  38. 15
  39. 53
  40. 228

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