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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 540 · 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 7 + 19 × 20 ÷ 6?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 4 ÷ 19 + 10?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 11 − 5 + 14?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 4 + 12 ÷ 17?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 12 × 18 + 8?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 15 × 3 − 9?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 2 + 2 ÷ 17?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 3 + 8 ÷ 5?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 10 − 14 + 4?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 6 + 3 − 9?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 16 ÷ 5 + 7?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 6 + 3 × 20?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 2 + 2 × 8?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 × 2 ÷ 15 − 8?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 5 − 4 × 2?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 16 ÷ 12 × 8?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 3 × 2 − 6?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 7 + 2 − 5?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 6 ÷ 3 × 3?
  20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 9 + 3 × 2?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 8 − 2 ÷ 2?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 6 + 3 − 6?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 19 + 19 ÷ 13?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 10 × 19 ÷ 12?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 10 + 5 ÷ 5?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 4 ÷ 14 − 2?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 12 × 8 − 2?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 3 ÷ 14 + 14?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 2 + 6 − 7?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 14 ÷ 18 × 3?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 3 ÷ 3 × 15?
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 12 × 6 − 18?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 3 + 16 − 3?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 18 − 18 + 11?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 18 + 7 ÷ 4?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 16 × 2 ÷ 8?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 18 ÷ 3 × 13?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 2 + 20 ÷ 2?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 20 × 2 − 8?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 15 + 6 ÷ 10?

Answer key

  1. 147
  2. 75
  3. 8
  4. 81
  5. 4
  6. 48
  7. 30
  8. 27
  9. 70
  10. 90
  11. 88
  12. 5
  13. 8
  14. 68
  15. 23
  16. 204
  17. 18
  18. 5
  19. 3
  20. 10
  21. 46
  22. 12
  23. 241
  24. 173
  25. 9
  26. 14
  27. 7
  28. 210
  29. 10
  30. 86
  31. 12
  32. 21
  33. 21
  34. 367
  35. 1
  36. 7
  37. 11
  38. 47
  39. 94
  40. 100

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