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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 834 · 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 − 11 × 20 ÷ 16?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 17 × 7 + 4?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 9 + 6 × 3?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 12 − 4 + 17?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 15 ÷ 8 + 4?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 16 ÷ 2 × 5?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 10 × 14 − 5?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 8 ÷ 16 + 19?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 − 18 ÷ 13?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 18 − 8 × 8?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 2 − 2 + 14 × 19?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 18 − 9 + 12?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 20 ÷ 4 × 4?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 4 + 8 ÷ 13?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 5 − 8 × 10?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 6 − 9 ÷ 17?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 19 ÷ 9 + 2?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 15 × 19 + 13?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 13 + 19 × 7?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 4 × 14 − 2?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 20 − 4 × 16?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 9 − 12 + 17?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 18 + 16 ÷ 13?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 20 + 17 ÷ 3?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 4 + 20 × 19?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 9 − 20 + 7?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 20 × 10 + 2?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 6 − 4 ÷ 12?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 11 × 6 ÷ 3?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 8 − 2 ÷ 9?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 11 − 13 ÷ 19?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 9 − 4 ÷ 13?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 19 ÷ 18 × 3?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 3 − 3 + 13?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 2 × 16 ÷ 12?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 17 − 18 ÷ 16?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 4 − 17 × 9?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 10 × 5 ÷ 3?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 17 − 10 + 2?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 17 − 18 + 18?

Answer key

  1. 106
  2. 343
  3. 12
  4. 68
  5. 148
  6. 67
  7. 71
  8. 69
  9. 59
  10. 17
  11. 33
  12. 159
  13. 321
  14. 23
  15. 12
  16. 70
  17. 13
  18. 239
  19. 258
  20. 8
  21. 6
  22. 7
  23. 357
  24. 350
  25. 75
  26. 179
  27. 2
  28. 8
  29. 13
  30. 9
  31. 30
  32. 23
  33. 358
  34. 32
  35. 36
  36. 104
  37. 80
  38. 9
  39. 91
  40. 326

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