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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 842 · 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 10 − 3 ÷ 8 × 13?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 12 ÷ 15 × 14?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 19 ÷ 18 + 19?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 18 + 3 ÷ 2?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 14 + 18 ÷ 18?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 6 − 17 × 13?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 3 ÷ 4 + 14?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 2 − 7 + 4?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 20 ÷ 8 − 2?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 7 − 19 + 6?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 2 + 4 × 6?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 20 ÷ 13 − 8?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 10 + 4 ÷ 5?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 9 − 20 + 9?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 17 + 9 × 5?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 2 ÷ 6 − 3?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 20 + 10 × 16?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 9 ÷ 3 + 4?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 2 × 2 + 4?
  20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 16 + 9 × 12?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 9 ÷ 4 × 9?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 4 + 11 × 3?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 7 + 16 − 8?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 17 ÷ 2 + 10?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 14 − 6 ÷ 4?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 15 + 19 ÷ 4?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 17 ÷ 8 × 12?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 11 − 17 × 18?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 19 + 13 ÷ 15?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 11 × 2 ÷ 13?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 2 ÷ 2 × 12?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 2 × 11 ÷ 7?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 19 + 6 ÷ 3?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 18 × 5 ÷ 10?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 4 − 2 ÷ 3?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 6 ÷ 15 + 5?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 14 × 12 + 6?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 7 ÷ 8 × 3?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 7 + 12 × 19?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 19 + 8 − 8?

Answer key

  1. 21
  2. 239
  3. 331
  4. 3
  5. 246
  6. 19
  7. 11
  8. 38
  9. 314
  10. 145
  11. 22
  12. 104
  13. 44
  14. 24
  15. 159
  16. 27
  17. 4
  18. 1
  19. 5
  20. 6
  21. 139
  22. 55
  23. 32
  24. 162
  25. 25
  26. 15
  27. 234
  28. 180
  29. 325
  30. 187
  31. 32
  32. 34
  33. 11
  34. 131
  35. 5
  36. 76
  37. 29
  38. 75
  39. 75
  40. 94

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