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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 450 · 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 18 ÷ 5 − 6 + 15?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 12 ÷ 18 + 19?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 20 ÷ 7 × 15?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 18 − 6 × 3?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 5 ÷ 6 × 3?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 11 ÷ 20 × 5?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 18 ÷ 4 + 12?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 10 − 15 ÷ 11?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 20 + 12 ÷ 14?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 2 ÷ 18 − 13?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 15 + 5 ÷ 6?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 12 × 18 + 20?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 4 − 2 + 19?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 15 + 2 ÷ 2?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 6 + 9 ÷ 6?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 15 + 3 − 11 ÷ 11?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 3 − 12 ÷ 2?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 − 11 ÷ 5?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 4 ÷ 4 + 19?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 18 ÷ 12 − 3?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 2 × 16 − 16?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 18 × 5 ÷ 17?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 4 + 6 ÷ 12?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 2 ÷ 9 + 8?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 8 × 3 ÷ 7?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 12 × 13 + 9?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 5 ÷ 6 + 19?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 3 + 18 ÷ 17?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 11 + 3 ÷ 16?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 11 + 3 × 18?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 11 ÷ 9 + 9?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 15 + 3 − 13 × 14?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 18 ÷ 16 + 2?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 10 ÷ 9 + 18?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 17 ÷ 11 − 10?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 10 × 7 + 11?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 5 ÷ 18 + 19?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 16 ÷ 7 × 7?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 5 ÷ 4 − 2?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 8 × 17 − 15?

Answer key

  1. 0
  2. 348
  3. 172
  4. 36
  5. 35
  6. 14
  7. 11
  8. 171
  9. 242
  10. 238
  11. 16
  12. 154
  13. 51
  14. 34
  15. 64
  16. 126
  17. 2
  18. 16
  19. 3
  20. 20
  21. 272
  22. 276
  23. 32
  24. 24
  25. 92
  26. 122
  27. 16
  28. 5
  29. 156
  30. 0
  31. 219
  32. 4
  33. 5
  34. 87
  35. 104
  36. 176
  37. 29
  38. 321
  39. 23
  40. 46

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