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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 897 · 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 11 ÷ 18 − 19 + 17?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 13 − 13 × 13?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 × 4 ÷ 20 − 5?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 16 ÷ 8 × 16?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 14 − 5 ÷ 18?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 4 × 15 − 5?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 17 × 11 ÷ 17?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 9 − 9 × 13 ÷ 13?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 5 × 10 − 14?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 12 + 2 × 9?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 14 × 2 + 7?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 12 − 13 × 18?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 2 − 3 × 4?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 17 − 17 ÷ 17?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 6 + 20 ÷ 7?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 13 ÷ 4 + 9?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 14 ÷ 5 × 16?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 16 × 19 ÷ 8?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 16 × 20 + 5?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 18 + 6 × 6?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 5 − 3 ÷ 20?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 13 ÷ 12 × 3?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 17 − 18 ÷ 2?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 11 − 10 × 5?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 18 × 10 − 18?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 20 ÷ 11 × 3?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 18 ÷ 3 + 19?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 9 − 4 + 7?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 2 ÷ 12 × 7?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 4 × 12 + 3?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 18 ÷ 3 + 2?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 17 ÷ 3 + 10?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 10 − 4 + 5?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 7 × 3 ÷ 13?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 18 ÷ 4 + 11?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 3 − 20 + 8?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 13 × 12 ÷ 18?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 17 + 15 × 3?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 4 − 6 + 6?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 11 × 15 − 13?

Answer key

  1. 336
  2. 248
  3. 101
  4. 200
  5. 78
  6. 59
  7. 193
  8. 170
  9. 150
  10. 24
  11. 10
  12. 150
  13. 9
  14. 288
  15. 123
  16. 29
  17. 179
  18. 85
  19. 1
  20. 6
  21. 75
  22. 269
  23. 50
  24. 6
  25. 152
  26. 268
  27. 52
  28. 47
  29. 7
  30. 40
  31. 109
  32. 44
  33. 2
  34. 35
  35. 71
  36. 92
  37. 46
  38. 131
  39. 39
  40. 194

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