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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 372 · 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 + 12 × 3 ÷ 19?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 11 × 13 + 6?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 16 − 19 ÷ 15?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 14 ÷ 13 − 10?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 18 + 18 × 2?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 8 − 4 ÷ 5?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 2 + 2 × 9?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 2 − 12 × 17?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 16 × 2 + 7?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 14 × 14 − 11?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 7 − 8 ÷ 10?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 15 × 20 ÷ 8?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 11 × 19 − 14?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 4 − 20 × 20?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 7 × 10 ÷ 8?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 17 × 12 + 2?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 12 ÷ 9 × 3?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 19 + 4 ÷ 8?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 19 + 18 ÷ 18?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 12 ÷ 13 − 5?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 19 × 6 + 5?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 6 × 6 + 15?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 12 ÷ 16 × 16?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 5 × 14 ÷ 5?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 3 − 3 × 14?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 14 × 7 ÷ 19?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 2 ÷ 6 + 16?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 5 ÷ 7 × 3?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 5 × 7 ÷ 10?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 3 ÷ 13 + 13?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 10 ÷ 6 − 7?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 5 + 4 ÷ 2?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 7 ÷ 2 × 3?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 20 × 20 + 20?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 3 ÷ 15 − 20?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 16 − 4 + 17?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 12 ÷ 4 × 9?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 5 ÷ 11 + 7?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 11 × 14 − 2?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 9 ÷ 15 + 7?

Answer key

  1. 64
  2. 77
  3. 273
  4. 131
  5. 326
  6. 25
  7. 25
  8. 91
  9. 235
  10. 21
  11. 17
  12. 156
  13. 94
  14. 2
  15. 79
  16. 9
  17. 165
  18. 74
  19. 95
  20. 73
  21. 381
  22. 97
  23. 216
  24. 84
  25. 3
  26. 49
  27. 98
  28. 46
  29. 27
  30. 175
  31. 51
  32. 23
  33. 134
  34. 32
  35. 7
  36. 195
  37. 223
  38. 74
  39. 30
  40. 145

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