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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 306 · 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 19 + 10 × 9 ÷ 13?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 19 + 3 × 3?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 4 ÷ 6 + 3?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 10 ÷ 2 + 19?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 14 ÷ 17 + 15?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 17 + 17 × 5 − 4?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 17 ÷ 6 + 4?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 4 × 14 ÷ 16?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 2 − 5 + 4?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 6 + 2 ÷ 18?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 6 − 20 × 5?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 8 ÷ 10 − 18?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 8 + 6 × 2?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 4 ÷ 18 × 8?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 16 + 4 × 2?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 11 − 16 ÷ 3?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 7 × 9 ÷ 4?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 10 + 11 ÷ 18?
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 11 ÷ 8 − 13?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 10 × 18 − 2?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 16 × 20 + 15?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 12 × 17 + 17?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 6 + 2 ÷ 10?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 10 + 8 ÷ 3?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 13 ÷ 12 × 11?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 5 − 6 ÷ 4?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 14 ÷ 10 × 8?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 11 − 3 × 11?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 6 ÷ 15 + 19?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 6 − 5 × 7?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 11 ÷ 2 − 11?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 2 − 12 + 12?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 5 × 4 + 17?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 18 − 8 × 6?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 12 × 4 + 5?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 20 × 4 + 2?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 18 + 5 ÷ 5?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 6 ÷ 8 + 17?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 × 7 − 16 + 16?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 7 − 2 × 10?

Answer key

  1. 126
  2. 246
  3. 23
  4. 5
  5. 225
  6. 21
  7. 104
  8. 22
  9. 8
  10. 13
  11. 34
  12. 181
  13. 13
  14. 4
  15. 73
  16. 45
  17. 54
  18. 100
  19. 126
  20. 18
  21. 53
  22. 286
  23. 5
  24. 2
  25. 51
  26. 6
  27. 54
  28. 0
  29. 92
  30. 5
  31. 31
  32. 5
  33. 62
  34. 36
  35. 29
  36. 33
  37. 6
  38. 40
  39. 257
  40. 27

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