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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 960 · 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 17 + 4 ÷ 7 − 7?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 12 × 2 + 7?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 2 − 20 × 20?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 12 + 5 − 6?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 14 − 7 + 14?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 5 − 12 ÷ 15?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 6 × 9 − 8?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 2 + 8 − 2?
  9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 14 − 13 ÷ 3?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 18 + 18 × 13?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 4 + 11 − 14?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 20 × 6 ÷ 3?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 3 + 3 − 5?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 16 × 4 − 9?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 5 − 19 × 7?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 15 ÷ 4 − 5?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 17 × 14 ÷ 7?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 12 + 18 ÷ 9?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 17 + 7 − 7?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 16 × 6 ÷ 9?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 4 × 10 + 2?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 4 − 7 ÷ 15?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 16 − 3 ÷ 12?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 16 × 4 + 3?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 18 ÷ 17 + 6?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 3 + 4 ÷ 11?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 5 × 13 ÷ 15?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 8 × 13 ÷ 13?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 16 × 17 − 3?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 6 + 2 × 2?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 6 ÷ 11 + 13?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 2 ÷ 8 × 3?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 20 ÷ 12 + 8?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 15 ÷ 2 × 5?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 18 − 17 ÷ 18?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 11 − 14 × 14?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 14 − 2 + 5 × 3?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 10 + 14 ÷ 4?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 12 ÷ 19 − 20?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 2 + 2 − 7?

Answer key

  1. 67
  2. 2
  3. 14
  4. 8
  5. 19
  6. 186
  7. 70
  8. 16
  9. 27
  10. 315
  11. 43
  12. 383
  13. 3
  14. 43
  15. 107
  16. 17
  17. 44
  18. 111
  19. 29
  20. 58
  21. 18
  22. 4
  23. 199
  24. 25
  25. 88
  26. 1
  27. 4
  28. 1
  29. 41
  30. 15
  31. 46
  32. 17
  33. 41
  34. 237
  35. 306
  36. 122
  37. 38
  38. 10
  39. 371
  40. 11

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