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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 247 · 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 15 ÷ 4 × 14 + 6?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 2 − 14 ÷ 3?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 2 ÷ 3 + 9?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 3 × 7 ÷ 2?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 3 ÷ 7 × 3?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 7 ÷ 11 × 20?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 11 + 3 × 18?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 8 ÷ 5 + 7?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 15 − 6 ÷ 19?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 11 ÷ 4 + 9?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 20 ÷ 8 + 4?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 11 ÷ 2 + 2?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 4 × 5 + 5?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 8 − 4 ÷ 16?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 12 − 13 + 2?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 7 × 13 − 9?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 3 ÷ 9 + 16?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 7 × 16 ÷ 17?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 8 ÷ 5 + 5?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 14 − 9 ÷ 20?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 2 + 15 × 13?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 12 − 6 ÷ 3?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 20 + 5 − 4?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 12 + 5 ÷ 3?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 9 ÷ 11 × 8?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 × 2 − 8 + 12?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 16 × 8 − 4?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 2 × 19 + 10?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 20 − 20 + 5?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 8 − 13 ÷ 19?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 9 + 18 × 4?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 3 + 6 × 15?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 18 ÷ 14 × 15?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 3 × 20 ÷ 5?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 18 × 2 − 6?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 6 − 17 ÷ 7?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 2 + 10 × 12?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 12 ÷ 15 × 16?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 6 ÷ 15 × 5?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 19 × 5 ÷ 18?

Answer key

  1. 68
  2. 115
  3. 12
  4. 13
  5. 28
  6. 128
  7. 37
  8. 34
  9. 117
  10. 72
  11. 198
  12. 132
  13. 5
  14. 132
  15. 93
  16. 38
  17. 14
  18. 132
  19. 26
  20. 111
  21. 25
  22. 41
  23. 80
  24. 46
  25. 60
  26. 4
  27. 12
  28. 195
  29. 0
  30. 154
  31. 161
  32. 15
  33. 325
  34. 54
  35. 19
  36. 124
  37. 22
  38. 49
  39. 9
  40. 215

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