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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 987 · 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 5 ÷ 12 − 2 × 7?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 18 × 18 + 7?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 13 ÷ 12 − 6?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 5 ÷ 19 + 2?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 16 + 3 − 18?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 7 ÷ 4 + 19?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 4 ÷ 15 + 6?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 8 ÷ 5 + 20?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 20 × 9 ÷ 9?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 15 × 19 ÷ 8?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 4 × 2 + 8?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 4 × 5 + 4?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 18 × 11 − 8?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 18 × 12 ÷ 13?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 5 − 17 ÷ 3?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 12 ÷ 2 + 2?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 6 ÷ 3 + 19?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 2 + 2 − 2 ÷ 15?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 11 ÷ 3 × 12?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 8 × 20 − 20?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 15 × 8 + 8?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 18 + 2 − 3?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 18 ÷ 6 + 5?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 17 − 7 ÷ 5?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 2 − 6 × 11?
  26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 20 − 9 + 3?
  27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 14 ÷ 7 × 14?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 × 3 ÷ 15 − 18?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 16 ÷ 9 − 2?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 17 × 12 ÷ 8?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 18 × 16 ÷ 13?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 18 × 15 − 3?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 20 × 14 − 2?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 2 − 5 + 5?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 17 − 6 × 5?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 2 + 9 ÷ 13?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 4 + 16 × 5?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 6 − 7 ÷ 8?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 2 ÷ 3 × 8?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 16 − 15 ÷ 18?

Answer key

  1. 55
  2. 10
  3. 79
  4. 103
  5. 159
  6. 87
  7. 68
  8. 111
  9. 320
  10. 139
  11. 9
  12. 2
  13. 82
  14. 31
  15. 65
  16. 2
  17. 56
  18. 17
  19. 37
  20. 121
  21. 26
  22. 32
  23. 31
  24. 133
  25. 0
  26. 83
  27. 21
  28. 4
  29. 10
  30. 84
  31. 303
  32. 32
  33. 227
  34. 19
  35. 35
  36. 14
  37. 37
  38. 38
  39. 13
  40. 235

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