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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 998 · 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 18 + 4 ÷ 14 − 10?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 20 ÷ 7 × 13?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 10 ÷ 20 + 17?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 3 − 3 ÷ 7?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 9 ÷ 4 × 10?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 5 + 13 ÷ 18?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 11 ÷ 8 − 14?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 14 ÷ 2 + 2?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 11 ÷ 8 − 2?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 12 + 12 − 6?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 12 ÷ 19 − 7?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 16 − 2 ÷ 17?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 15 − 10 × 3?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 10 × 9 ÷ 12?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 14 × 2 − 6?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 5 − 20 ÷ 17?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 14 × 14 − 14?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 9 + 9 ÷ 7?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 10 + 5 × 15?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 12 − 12 × 2?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 8 × 5 ÷ 10?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 19 − 13 × 13?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 19 × 5 ÷ 6?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 7 − 13 ÷ 13?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 7 × 3 + 10?
  26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 15 + 5 − 17 × 6?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 6 + 12 × 10?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 16 ÷ 10 − 17?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 6 ÷ 7 × 12?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 18 + 2 ÷ 4?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 10 ÷ 2 − 4?
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 8 + 5 − 7?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 14 × 11 − 7?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 20 × 8 + 9?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 15 ÷ 12 − 17?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 9 + 5 ÷ 6?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 4 ÷ 11 + 9?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 15 ÷ 17 × 16?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 6 ÷ 2 − 4?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 4 − 5 ÷ 11?

Answer key

  1. 68
  2. 46
  3. 53
  4. 18
  5. 28
  6. 95
  7. 61
  8. 31
  9. 126
  10. 1
  11. 24
  12. 4
  13. 27
  14. 93
  15. 9
  16. 78
  17. 199
  18. 142
  19. 1
  20. 14
  21. 11
  22. 6
  23. 286
  24. 14
  25. 112
  26. 14
  27. 81
  28. 161
  29. 7
  30. 164
  31. 22
  32. 90
  33. 234
  34. 359
  35. 196
  36. 41
  37. 13
  38. 119
  39. 20
  40. 23

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