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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 870 · 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 12 − 9 + 18 ÷ 19?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 5 × 12 + 4?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 16 − 18 × 2?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 9 + 7 ÷ 3?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 20 ÷ 15 + 19?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 13 × 4 + 3?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 6 ÷ 16 − 15?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 12 × 15 ÷ 9?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 2 ÷ 9 × 9?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 14 ÷ 14 + 13?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 5 ÷ 2 − 10?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 2 − 20 + 17?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 2 + 20 ÷ 12?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 3 ÷ 16 + 8?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 5 ÷ 2 + 19?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 19 × 5 ÷ 17?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 4 + 13 ÷ 18?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 14 ÷ 4 − 17?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 8 ÷ 10 + 10?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 9 × 2 + 2?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 12 + 20 ÷ 7?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 7 + 10 − 2?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 15 ÷ 19 + 17?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 5 + 9 × 13?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 4 ÷ 20 + 10?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 8 ÷ 14 − 5?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 16 ÷ 6 × 9?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 2 × 9 + 3?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 4 ÷ 18 × 9?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 19 + 19 − 9?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 19 − 12 ÷ 8?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 10 × 20 + 10?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 20 + 6 ÷ 16?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 6 × 5 + 13?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 6 ÷ 9 × 14?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 12 − 13 ÷ 18?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 15 ÷ 7 × 11?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 4 − 9 + 17?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 16 − 18 × 6?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 18 − 3 ÷ 12?

Answer key

  1. 25
  2. 14
  3. 320
  4. 23
  5. 294
  6. 15
  7. 241
  8. 102
  9. 16
  10. 187
  11. 24
  12. 123
  13. 1
  14. 7
  15. 48
  16. 26
  17. 53
  18. 60
  19. 136
  20. 6
  21. 249
  22. 50
  23. 270
  24. 38
  25. 202
  26. 79
  27. 141
  28. 8
  29. 12
  30. 23
  31. 82
  32. 26
  33. 124
  34. 65
  35. 47
  36. 228
  37. 41
  38. 40
  39. 7
  40. 18

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