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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 77 · 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 10 + 3 − 5 ÷ 7?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 20 × 5 ÷ 9?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 8 ÷ 9 − 15?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 18 − 10 + 2?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 4 ÷ 7 − 4?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 4 − 20 ÷ 4?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 7 × 8 − 2?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 9 + 3 − 2 × 3?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 6 × 16 ÷ 5?
  10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 17 + 17 − 12 ÷ 3?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 5 + 4 − 4?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 7 × 5 ÷ 11?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 2 ÷ 5 × 10?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 17 − 18 + 2?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 3 × 20 − 6?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 11 − 14 + 14?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 16 ÷ 17 − 10?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 5 ÷ 11 × 10?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 19 ÷ 4 + 13?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 5 + 5 × 3?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 4 × 13 ÷ 18?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 14 × 20 ÷ 8?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 16 − 4 × 4?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 11 ÷ 15 × 9?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 10 × 3 ÷ 4?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 3 × 13 + 9?
  27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 12 − 4 ÷ 12?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 4 × 4 − 4?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 3 ÷ 18 + 11?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 7 − 4 × 9?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 5 + 3 ÷ 11?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 10 × 12 ÷ 4?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 20 − 15 ÷ 15?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 6 ÷ 17 + 7?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 11 × 11 + 14?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 17 ÷ 20 + 4?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 12 + 12 − 10?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 10 × 2 ÷ 9?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 12 ÷ 5 − 7?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 16 + 8 − 2?

Answer key

  1. 28
  2. 85
  3. 136
  4. 77
  5. 18
  6. 79
  7. 85
  8. 3
  9. 125
  10. 37
  11. 19
  12. 104
  13. 33
  14. 317
  15. 1
  16. 0
  17. 233
  18. 11
  19. 371
  20. 12
  21. 8
  22. 82
  23. 74
  24. 138
  25. 169
  26. 117
  27. 47
  28. 45
  29. 49
  30. 12
  31. 16
  32. 41
  33. 305
  34. 127
  35. 34
  36. 103
  37. 18
  38. 81
  39. 43
  40. 7

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