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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 453 · 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 13 × 3 − 9 ÷ 11?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 13 + 16 ÷ 18?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 10 − 5 + 4?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 4 ÷ 5 + 13?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 8 ÷ 8 × 4?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 12 × 12 − 3?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 16 − 3 + 4?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 11 + 18 × 12?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 17 − 17 + 10?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 13 ÷ 6 × 6?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 5 × 20 − 10?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 18 − 9 ÷ 6?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 19 × 20 ÷ 9?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 4 × 7 + 11?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 19 + 19 ÷ 4?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 18 − 16 × 6?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 19 × 8 + 6?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 4 × 2 ÷ 7?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 15 − 15 + 7?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 8 + 18 × 20?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 7 ÷ 20 − 2?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 4 − 5 + 20?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 14 ÷ 11 − 17?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 15 ÷ 12 − 18?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 3 ÷ 10 × 12?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 18 − 3 ÷ 4?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 6 × 6 ÷ 4?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 2 ÷ 2 + 3?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 10 + 5 ÷ 4?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 10 × 19 + 19?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 5 − 5 ÷ 16?
  32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 9 + 3 ÷ 15?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 12 + 4 ÷ 13?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 10 − 13 ÷ 8?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 2 ÷ 16 + 3?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 20 × 20 ÷ 17?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 15 + 3 − 13?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 12 ÷ 13 − 20?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 8 + 15 − 2?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 6 ÷ 6 + 15?

Answer key

  1. 29
  2. 206
  3. 53
  4. 48
  5. 23
  6. 8
  7. 24
  8. 198
  9. 17
  10. 52
  11. 15
  12. 32
  13. 239
  14. 40
  15. 18
  16. 24
  17. 287
  18. 25
  19. 53
  20. 130
  21. 24
  22. 11
  23. 188
  24. 14
  25. 56
  26. 14
  27. 30
  28. 3
  29. 12
  30. 110
  31. 49
  32. 54
  33. 9
  34. 110
  35. 29
  36. 334
  37. 10
  38. 259
  39. 75
  40. 103

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