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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 451 · 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 ÷ 20 × 4?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 15 − 6 × 9?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 17 + 10 × 16?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 12 + 3 − 9?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 9 + 15 × 20?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 19 + 17 − 19?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 16 + 2 × 10?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 13 + 12 × 12?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 11 − 5 ÷ 14?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 10 × 2 + 16?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 5 ÷ 16 + 15?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 ÷ 3 − 14?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 18 ÷ 8 + 19?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 3 − 7 ÷ 20?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 3 ÷ 3 × 15?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 19 ÷ 3 + 19?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 10 − 19 ÷ 2?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 7 ÷ 8 + 2?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 8 − 7 ÷ 12?
  20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 9 ÷ 13 × 10?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 2 − 13 ÷ 3?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 4 − 15 + 10?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 19 + 14 − 11?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 20 − 7 + 10?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 5 + 8 ÷ 14?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 5 + 17 ÷ 15?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 8 ÷ 12 − 8?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 5 ÷ 6 − 3?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 20 + 5 × 11?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 18 − 3 ÷ 5?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 2 + 14 ÷ 6?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 15 − 20 + 6?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 12 ÷ 2 × 9?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 4 × 16 ÷ 19?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 10 + 6 × 10?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 15 − 18 + 10?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 19 × 8 − 13?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 3 − 13 ÷ 14?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 14 × 11 ÷ 4?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 20 + 12 ÷ 13?

Answer key

  1. 212
  2. 27
  3. 159
  4. 40
  5. 167
  6. 26
  7. 26
  8. 143
  9. 58
  10. 41
  11. 69
  12. 45
  13. 153
  14. 18
  15. 42
  16. 22
  17. 190
  18. 102
  19. 48
  20. 16
  21. 55
  22. 69
  23. 225
  24. 58
  25. 38
  26. 2
  27. 44
  28. 15
  29. 33
  30. 4
  31. 26
  32. 118
  33. 55
  34. 5
  35. 25
  36. 279
  37. 32
  38. 32
  39. 217
  40. 2

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