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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 706 · 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 2 − 5 + 5 × 7?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 19 − 3 + 17?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 10 − 5 × 2?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 12 − 14 ÷ 13?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 17 − 19 ÷ 9?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 18 ÷ 5 − 10?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 7 + 9 ÷ 15?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 13 ÷ 4 × 16?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 14 × 19 + 18?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 2 + 5 × 5?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 16 × 10 + 11?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 5 ÷ 14 × 18?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 9 ÷ 3 − 13?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 5 × 7 + 8?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 8 ÷ 11 × 20?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 4 + 3 ÷ 9?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 16 + 20 ÷ 3?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 15 ÷ 19 − 6?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 14 × 20 ÷ 8?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 19 × 7 + 8?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 16 × 5 + 6?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 15 ÷ 4 × 16?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 16 × 2 + 17?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 7 ÷ 12 − 12?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 19 − 7 ÷ 6?
  26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 13 ÷ 18 × 16?
  27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 7 − 2 ÷ 9?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 18 + 10 − 4?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 8 × 4 ÷ 9?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 6 ÷ 20 − 19?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 14 × 13 ÷ 7?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 4 + 15 − 10?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 8 ÷ 8 − 8?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 3 ÷ 3 + 15?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 11 + 12 − 4?
  36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 5 × 20 + 8?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 8 ÷ 10 + 2?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 5 − 3 ÷ 18?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 9 ÷ 11 − 2?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 18 − 4 ÷ 13?

Answer key

  1. 9
  2. 48
  3. 22
  4. 217
  5. 166
  6. 46
  7. 61
  8. 209
  9. 2
  10. 2
  11. 111
  12. 51
  13. 47
  14. 49
  15. 119
  16. 8
  17. 95
  18. 109
  19. 68
  20. 170
  21. 10
  22. 162
  23. 103
  24. 144
  25. 143
  26. 227
  27. 18
  28. 22
  29. 83
  30. 383
  31. 88
  32. 20
  33. 18
  34. 6
  35. 39
  36. 166
  37. 8
  38. 56
  39. 24
  40. 37

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