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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 404 · 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 19 + 16 ÷ 9 − 19?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 12 − 8 × 2?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 4 − 6 × 20?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 3 × 14 ÷ 6?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 14 ÷ 11 − 3?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 10 − 11 + 4?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 5 ÷ 13 − 10?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 10 + 14 ÷ 17?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 14 − 11 + 5?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 15 − 5 × 2?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 12 + 6 − 17?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 14 − 16 + 10?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 18 ÷ 10 × 15?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 5 − 17 + 2?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 12 + 3 × 7?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 9 × 9 − 10?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 16 + 4 × 13?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 2 × 12 + 19?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 13 × 13 − 7?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 6 − 3 ÷ 10?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 6 ÷ 8 × 2?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 4 × 2 ÷ 19?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 19 × 12 − 9?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 4 ÷ 17 − 15?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 13 − 16 + 15?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 20 − 15 × 15?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 12 × 8 − 2?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 ÷ 17 − 19?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 4 ÷ 9 × 9?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 6 × 3 − 2?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 8 × 12 − 5?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 3 × 13 + 14?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 2 ÷ 13 × 6?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 16 − 2 × 11?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 2 − 20 ÷ 10?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 9 ÷ 12 × 9?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 4 − 18 + 11?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 5 − 17 + 19?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 2 − 2 + 4 ÷ 3?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 8 − 7 × 8?

Answer key

  1. 174
  2. 64
  3. 7
  4. 91
  5. 28
  6. 127
  7. 7
  8. 143
  9. 160
  10. 55
  11. 38
  12. 227
  13. 365
  14. 95
  15. 63
  16. 1
  17. 7
  18. 236
  19. 111
  20. 29
  21. 33
  22. 36
  23. 93
  24. 260
  25. 207
  26. 121
  27. 6
  28. 324
  29. 21
  30. 6
  31. 17
  32. 56
  33. 9
  34. 9
  35. 13
  36. 4
  37. 71
  38. 68
  39. 1
  40. 7

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