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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 430 · 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 − 11 + 3 ÷ 5?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 20 + 14 ÷ 15?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 19 − 19 × 7?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 8 × 10 ÷ 19?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 2 × 15 + 6?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 3 × 16 ÷ 20?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 3 × 20 + 11?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 7 + 19 ÷ 13?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 16 ÷ 6 − 4?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 12 − 14 + 4?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 5 − 19 ÷ 6?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 5 ÷ 5 × 19?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 12 × 18 − 2?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 13 × 2 + 7?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 13 − 3 + 5?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 15 + 14 × 20?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 19 − 19 + 2 ÷ 19?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 6 − 13 ÷ 6?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 19 × 18 ÷ 3?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 19 × 2 − 18?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 10 + 2 − 20?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 2 ÷ 11 × 19?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 7 + 7 ÷ 12 × 8?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 3 ÷ 15 − 10?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 4 + 10 ÷ 12?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 3 × 14 ÷ 2?
  27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 11 + 4 × 2?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 6 × 3 ÷ 20?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 4 × 19 ÷ 14?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 12 + 4 × 4?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 19 + 20 − 20?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 3 ÷ 15 − 6?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 5 ÷ 20 × 5?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 9 ÷ 17 × 13?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 18 − 2 × 4?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 2 − 5 × 6?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 16 × 8 + 2?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 12 − 13 × 18?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 19 − 19 ÷ 11?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 10 + 19 × 19?

Answer key

  1. 11
  2. 2
  3. 10
  4. 193
  5. 13
  6. 43
  7. 226
  8. 92
  9. 12
  10. 176
  11. 103
  12. 26
  13. 8
  14. 3
  15. 9
  16. 141
  17. 21
  18. 79
  19. 61
  20. 28
  21. 26
  22. 14
  23. 5
  24. 149
  25. 42
  26. 40
  27. 27
  28. 85
  29. 282
  30. 5
  31. 21
  32. 3
  33. 99
  34. 31
  35. 0
  36. 39
  37. 28
  38. 152
  39. 367
  40. 100

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