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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 628 · 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 × 14 + 14 ÷ 9?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 2 − 7 × 19?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 4 × 6 − 17?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 5 ÷ 12 + 11?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 19 ÷ 5 × 8?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 6 ÷ 3 × 18?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 10 − 5 × 8?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 16 × 14 − 7?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 6 ÷ 4 × 10?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 5 × 3 ÷ 3?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 10 ÷ 12 − 3?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 11 + 11 − 11?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 19 − 18 ÷ 16?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 19 + 2 × 4?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 10 × 9 ÷ 9?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 ÷ 8 + 9?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 8 + 5 − 20?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 13 + 13 × 10 − 16?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 10 × 20 − 16?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 4 × 13 ÷ 14?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 18 + 16 ÷ 11?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 10 − 20 + 3?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 14 × 2 − 16?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 10 + 2 × 4?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 12 ÷ 20 × 9?
  26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 4 − 2 ÷ 4?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 7 × 11 + 4?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 5 ÷ 10 × 5?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 2 − 2 × 5?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 7 + 10 ÷ 14?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 2 ÷ 9 − 14?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 15 + 5 ÷ 8?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 9 + 12 − 11?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 4 ÷ 3 − 5?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 9 ÷ 14 + 2?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 9 × 6 − 4?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 13 × 5 + 20?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 19 ÷ 17 × 6?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 10 ÷ 19 + 18?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 6 + 11 × 5?

Answer key

  1. 199
  2. 7
  3. 75
  4. 58
  5. 244
  6. 17
  7. 10
  8. 242
  9. 78
  10. 16
  11. 171
  12. 25
  13. 271
  14. 72
  15. 100
  16. 2
  17. 14
  18. 7
  19. 312
  20. 2
  21. 295
  22. 209
  23. 118
  24. 22
  25. 25
  26. 18
  27. 70
  28. 13
  29. 12
  30. 60
  31. 9
  32. 5
  33. 62
  34. 54
  35. 139
  36. 31
  37. 232
  38. 333
  39. 349
  40. 72

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