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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 655 · 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 3 − 6 + 14 ÷ 7?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 3 − 19 ÷ 16?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 8 + 5 − 10?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 4 ÷ 7 + 15?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 12 + 2 ÷ 20?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 4 − 17 × 11?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 10 ÷ 2 × 8?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 12 × 6 − 11?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 12 − 15 ÷ 3?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 4 − 10 + 4?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 12 − 5 + 20?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 6 − 4 + 16?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 2 ÷ 2 × 16?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 12 + 4 × 9?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 7 + 7 ÷ 6?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 4 − 4 × 3?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 11 ÷ 17 × 7?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 2 × 15 ÷ 4?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 13 − 8 × 10?
  20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 5 ÷ 18 − 20?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 19 ÷ 19 × 17?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 10 + 6 − 6?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 8 × 8 − 2?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 11 − 12 + 7?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 17 ÷ 17 × 12?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 10 − 20 + 13?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 11 ÷ 13 + 20?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 18 × 16 + 2?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 19 + 20 × 7?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 8 ÷ 11 × 9?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 6 + 12 − 16?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 18 ÷ 3 × 11?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 15 − 6 × 9?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 3 × 19 ÷ 15?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 10 × 13 ÷ 15?
  36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 18 × 8 + 20?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 12 − 15 × 4?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 14 × 7 ÷ 7?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 17 × 18 ÷ 14?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 10 − 7 ÷ 8?

Answer key

  1. 11
  2. 314
  3. 14
  4. 19
  5. 22
  6. 57
  7. 25
  8. 245
  9. 192
  10. 4
  11. 1
  12. 63
  13. 5
  14. 36
  15. 9
  16. 13
  17. 164
  18. 15
  19. 219
  20. 12
  21. 112
  22. 15
  23. 148
  24. 76
  25. 328
  26. 252
  27. 256
  28. 27
  29. 82
  30. 78
  31. 25
  32. 332
  33. 1
  34. 34
  35. 201
  36. 161
  37. 52
  38. 39
  39. 64
  40. 78

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