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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 736 · 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 12 ÷ 5 − 2 + 14?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 3 − 3 + 6?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 10 × 12 + 2?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 3 ÷ 14 + 14?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 19 + 8 ÷ 13?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 ÷ 12 × 9?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 12 ÷ 2 − 10?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 8 − 5 ÷ 17?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 9 × 5 − 4?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 12 ÷ 12 − 12?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 4 × 13 + 3?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 12 + 5 − 4?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 5 + 7 ÷ 9?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 20 − 13 + 8?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 11 × 17 ÷ 16?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 9 + 12 × 10?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 9 − 5 ÷ 19?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 8 ÷ 19 × 7?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 4 × 20 − 17?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 16 ÷ 12 × 3?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 12 − 4 × 2?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 6 − 7 × 16?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 4 − 12 ÷ 2?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 11 × 20 + 5?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 6 × 5 + 18?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 2 − 15 ÷ 16?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 11 − 8 ÷ 5?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 20 − 10 + 8?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 18 ÷ 5 − 3?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 3 ÷ 18 − 3?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 5 − 20 + 9?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 18 ÷ 10 + 6?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 8 − 10 + 14?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 12 + 11 ÷ 12?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 4 − 8 + 3?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 10 + 16 × 16?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 3 + 4 × 15?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 12 ÷ 14 − 11?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 10 − 3 × 16?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 3 − 7 ÷ 18?

Answer key

  1. 8
  2. 32
  3. 86
  4. 14
  5. 143
  6. 81
  7. 14
  8. 35
  9. 31
  10. 203
  11. 11
  12. 0
  13. 44
  14. 255
  15. 111
  16. 52
  17. 99
  18. 52
  19. 342
  20. 135
  21. 6
  22. 46
  23. 3
  24. 92
  25. 59
  26. 76
  27. 16
  28. 21
  29. 178
  30. 56
  31. 96
  32. 112
  33. 36
  34. 2
  35. 26
  36. 151
  37. 10
  38. 145
  39. 77
  40. 32

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