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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 496 · 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 × 4 − 5?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 9 − 11 + 17?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 7 + 4 ÷ 14?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 2 − 14 ÷ 10?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 14 + 6 − 7?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 15 ÷ 14 − 13?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 20 − 6 + 4?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 6 ÷ 11 + 7?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 10 ÷ 4 × 7?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 19 + 3 ÷ 7?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 4 × 8 + 2?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 20 + 4 × 2?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 13 ÷ 17 − 14?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 10 × 9 − 4?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 18 ÷ 12 − 5?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 14 + 12 − 2?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 10 − 5 + 2?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 12 ÷ 20 + 20?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 12 ÷ 15 + 14?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 5 − 14 × 14?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 8 − 12 ÷ 17?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 4 ÷ 14 + 16?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 14 + 5 − 15?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 5 − 17 ÷ 6?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 5 × 3 ÷ 3?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 14 × 8 − 2?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 9 + 14 × 19?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 11 ÷ 9 × 9?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 12 × 3 − 7?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 16 + 12 × 7?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 5 × 19 ÷ 20?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 10 × 4 − 18?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 19 − 5 ÷ 6?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 17 + 17 ÷ 3?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 19 ÷ 18 − 16?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 9 ÷ 9 × 16?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 18 ÷ 18 + 14?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 14 − 20 + 7?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 6 ÷ 12 − 7?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 6 − 3 ÷ 2?

Answer key

  1. 20
  2. 93
  3. 28
  4. 152
  5. 2
  6. 176
  7. 14
  8. 74
  9. 83
  10. 42
  11. 2
  12. 93
  13. 238
  14. 32
  15. 62
  16. 91
  17. 51
  18. 16
  19. 210
  20. 68
  21. 85
  22. 227
  23. 164
  24. 112
  25. 12
  26. 20
  27. 116
  28. 33
  29. 160
  30. 219
  31. 54
  32. 54
  33. 82
  34. 15
  35. 285
  36. 74
  37. 236
  38. 292
  39. 84
  40. 2

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