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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 445 · 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 20 + 5 ÷ 13 × 2?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 20 − 4 ÷ 12?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 3 + 4 ÷ 6?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 2 ÷ 5 × 15?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 2 + 10 × 5?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 20 ÷ 7 × 16?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 19 × 11 − 7?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 10 − 10 ÷ 6?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 7 ÷ 8 × 8?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 7 + 19 × 18?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 7 × 12 + 6?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 7 × 11 ÷ 8?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 12 ÷ 15 + 5?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 17 + 2 ÷ 7?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 13 × 7 ÷ 16?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 14 ÷ 11 × 3?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 19 × 10 ÷ 20?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 15 + 3 × 9?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 2 + 18 × 9?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 4 − 6 × 4?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 9 − 17 ÷ 8?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 8 × 16 + 13?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 2 + 7 × 13?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 15 ÷ 13 × 10?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 9 ÷ 6 × 12?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 6 ÷ 3 − 11?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 6 ÷ 6 × 5?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 2 × 3 − 7?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 5 ÷ 5 − 20?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 13 − 6 × 2?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 4 × 17 + 16?
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 14 − 8 ÷ 3?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 14 + 14 − 4?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 15 ÷ 11 + 20?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 14 + 7 × 7?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 2 × 20 ÷ 20?
  37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 10 + 9 ÷ 19?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 5 − 20 + 5?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 16 ÷ 2 × 12?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 4 × 2 ÷ 11?

Answer key

  1. 15
  2. 97
  3. 8
  4. 46
  5. 5
  6. 149
  7. 63
  8. 60
  9. 126
  10. 97
  11. 19
  12. 88
  13. 15
  14. 30
  15. 173
  16. 202
  17. 195
  18. 7
  19. 12
  20. 0
  21. 26
  22. 35
  23. 20
  24. 273
  25. 51
  26. 34
  27. 2
  28. 29
  29. 101
  30. 133
  31. 281
  32. 12
  33. 9
  34. 165
  35. 22
  36. 32
  37. 81
  38. 111
  39. 214
  40. 63

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