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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 967 · 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 18 + 19 ÷ 11 − 17?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 10 − 8 + 16?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 20 ÷ 13 × 13?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 4 ÷ 6 × 2?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 11 − 6 + 19?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 5 ÷ 8 − 13?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 2 × 7 + 18?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 3 − 3 × 15?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 7 + 7 × 9?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 9 − 8 ÷ 13?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 18 + 19 ÷ 7?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 12 + 14 × 2?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 12 − 8 × 5?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 9 − 7 × 13?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 5 + 18 − 3?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 20 − 9 + 2?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 9 + 6 × 6?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 5 ÷ 10 − 8?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 16 ÷ 13 × 5?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 13 ÷ 10 × 2?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 15 − 19 ÷ 20?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 20 + 13 − 13?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 5 − 2 ÷ 13?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 14 ÷ 5 + 5?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 7 − 19 × 19?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 18 − 4 ÷ 10?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 9 ÷ 3 − 17?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 15 × 15 ÷ 6?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 12 + 5 ÷ 4?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 2 − 14 × 14?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 14 + 2 × 13?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 15 ÷ 5 × 13?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 17 ÷ 20 − 4?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 7 ÷ 12 + 12?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 7 − 3 ÷ 12?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 9 ÷ 3 × 14?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 14 × 14 ÷ 7?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 3 ÷ 12 × 16?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 18 − 12 + 10?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 12 + 12 − 4?

Answer key

  1. 186
  2. 3
  3. 34
  4. 55
  5. 141
  6. 115
  7. 129
  8. 23
  9. 7
  10. 112
  11. 258
  12. 4
  13. 103
  14. 62
  15. 54
  16. 102
  17. 16
  18. 85
  19. 88
  20. 79
  21. 39
  22. 359
  23. 12
  24. 43
  25. 20
  26. 354
  27. 61
  28. 10
  29. 70
  30. 9
  31. 41
  32. 188
  33. 70
  34. 4
  35. 35
  36. 18
  37. 105
  38. 20
  39. 109
  40. 52

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