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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 763 · 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 18 − 13 + 19 ÷ 13?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 7 × 15 + 17?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 12 ÷ 17 × 18?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 5 ÷ 9 + 15?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 10 − 16 ÷ 16?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 10 − 10 ÷ 14?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 11 ÷ 11 + 11?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 19 × 19 ÷ 10?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 13 × 20 ÷ 11?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 20 − 8 × 2?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 16 ÷ 15 + 2?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 2 − 13 × 18?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 5 + 10 × 2?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 3 ÷ 14 × 7?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 6 − 14 × 3?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 13 ÷ 18 − 2?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 17 − 5 ÷ 5?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 14 − 15 + 6?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 18 + 16 ÷ 3?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 7 ÷ 7 − 14?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 7 ÷ 15 × 7?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 5 − 5 ÷ 13 + 5?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 3 − 6 ÷ 9?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 3 + 13 ÷ 7?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 12 × 20 + 2?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 8 − 3 × 3?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 6 × 8 ÷ 4?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 15 ÷ 7 − 12?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 3 ÷ 19 + 6?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 10 − 7 × 17?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 10 + 16 × 16?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 15 ÷ 7 × 4?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 3 − 19 + 19?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 6 × 19 + 15?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 4 − 15 × 3?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 2 ÷ 5 − 17?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 13 + 2 × 19?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 12 ÷ 16 + 7?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 14 + 7 × 11?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 4 + 19 × 6?

Answer key

  1. 228
  2. 75
  3. 227
  4. 50
  5. 190
  6. 0
  7. 125
  8. 352
  9. 61
  10. 0
  11. 2
  12. 83
  13. 50
  14. 38
  15. 25
  16. 178
  17. 17
  18. 37
  19. 6
  20. 103
  21. 78
  22. 66
  23. 20
  24. 38
  25. 34
  26. 2
  27. 7
  28. 89
  29. 118
  30. 37
  31. 26
  32. 57
  33. 8
  34. 64
  35. 37
  36. 17
  37. 58
  38. 189
  39. 2
  40. 76

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