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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 963 · 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 15 × 16 ÷ 10 + 3?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 15 ÷ 6 − 9?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 10 + 11 ÷ 3?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 2 ÷ 12 + 13?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 17 × 13 ÷ 17?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 20 − 6 + 15?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 14 + 19 ÷ 12?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 15 × 9 ÷ 18?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 3 × 18 + 18?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 6 + 11 × 3?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 7 × 8 + 14?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 9 − 9 × 16?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 11 × 17 ÷ 6?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 14 ÷ 5 − 5?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 4 × 2 ÷ 2?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 17 + 6 ÷ 5?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 9 × 14 − 15?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 3 ÷ 5 + 20?
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 15 + 16 ÷ 7?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 20 ÷ 8 + 10?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 2 ÷ 14 + 4?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 20 ÷ 7 × 14?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 14 ÷ 7 × 4?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 19 − 7 ÷ 19?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 14 ÷ 20 × 4?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 5 ÷ 8 + 15?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 10 + 16 ÷ 10?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 3 × 3 − 2?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 8 ÷ 18 − 16?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 2 × 12 + 4?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 10 + 5 × 7?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 10 ÷ 2 − 17?
  33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 12 − 16 ÷ 19?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 3 ÷ 15 × 3?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 20 + 20 × 5?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 7 + 12 − 2?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 2 − 15 ÷ 5?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 3 + 3 − 7 × 11?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 15 + 5 ÷ 12?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 4 − 2 ÷ 5?

Answer key

  1. 29
  2. 56
  3. 22
  4. 35
  5. 344
  6. 8
  7. 2
  8. 129
  9. 36
  10. 71
  11. 78
  12. 29
  13. 143
  14. 19
  15. 19
  16. 271
  17. 91
  18. 109
  19. 235
  20. 158
  21. 52
  22. 287
  23. 277
  24. 102
  25. 26
  26. 127
  27. 74
  28. 7
  29. 295
  30. 4
  31. 51
  32. 215
  33. 35
  34. 15
  35. 76
  36. 1
  37. 86
  38. 18
  39. 21
  40. 0

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