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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 96 · 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 8 − 3 + 6 × 3?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 18 × 9 ÷ 3?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 16 − 14 ÷ 2?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 14 − 2 ÷ 10 × 15?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 17 ÷ 10 − 2?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 5 × 20 ÷ 4?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 7 ÷ 5 − 4?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 8 × 2 ÷ 14?
  9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 2 − 6 ÷ 18?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 3 − 4 ÷ 20?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 10 − 18 + 7?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 5 − 6 + 11?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 7 ÷ 2 + 2?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 20 + 6 ÷ 2?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 7 − 16 + 4?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 19 × 19 + 20?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 7 + 9 × 2?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 17 + 12 − 12?
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 6 × 2 ÷ 14?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 9 ÷ 11 − 7?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 6 + 6 × 3?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 3 + 3 − 5?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 9 × 9 ÷ 8?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 19 ÷ 15 − 2?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 8 − 6 ÷ 14?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 3 ÷ 15 × 14?
  27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 9 − 4 × 2?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 20 ÷ 19 × 15?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 13 ÷ 10 − 13?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 18 − 19 × 2?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 17 − 7 + 3?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 17 ÷ 3 − 20?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 15 − 8 + 3?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 16 × 13 ÷ 2?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 2 ÷ 4 − 17?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 18 − 2 + 17?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 16 − 13 × 3?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 20 × 8 ÷ 4?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 7 − 7 ÷ 10?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 2 − 11 × 8?

Answer key

  1. 1
  2. 4
  3. 140
  4. 2
  5. 11
  6. 64
  7. 29
  8. 14
  9. 119
  10. 22
  11. 179
  12. 78
  13. 26
  14. 26
  15. 42
  16. 37
  17. 21
  18. 51
  19. 5
  20. 87
  21. 22
  22. 44
  23. 25
  24. 1
  25. 85
  26. 5
  27. 4
  28. 344
  29. 129
  30. 186
  31. 174
  32. 58
  33. 50
  34. 10
  35. 73
  36. 237
  37. 202
  38. 276
  39. 51
  40. 39

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