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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 899 · 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 6 × 4 ÷ 16 + 6?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 8 × 19 ÷ 8?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 3 + 4 ÷ 12?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 20 + 7 ÷ 5?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 7 ÷ 2 − 16?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 15 + 20 × 10?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 14 × 15 ÷ 10?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 14 + 7 × 13?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 × 2 − 16 ÷ 20?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 2 × 19 + 8?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 12 ÷ 12 + 10?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 15 ÷ 4 − 5?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 7 ÷ 9 − 2?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 14 + 14 − 15?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 9 − 3 + 9?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 5 ÷ 19 + 19?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 9 × 4 − 5?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 7 + 4 ÷ 8?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 16 − 4 ÷ 9?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 10 × 4 ÷ 16?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 3 − 11 ÷ 17?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 3 + 4 × 17?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 9 × 20 − 7?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 10 − 9 ÷ 6?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 18 − 15 ÷ 9?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 16 ÷ 18 + 7?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 19 ÷ 6 − 6?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 2 ÷ 19 + 2?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 6 × 15 ÷ 20?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 9 − 10 × 10?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 18 ÷ 16 + 9?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 8 + 5 ÷ 17?
  33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 15 − 9 × 15?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 14 × 9 − 9?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 10 − 14 ÷ 7?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 4 ÷ 8 − 4?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 20 ÷ 20 + 19?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 14 × 20 + 16?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 4 × 4 ÷ 7?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 18 ÷ 4 × 5?

Answer key

  1. 64
  2. 12
  3. 38
  4. 5
  5. 34
  6. 33
  7. 233
  8. 51
  9. 36
  10. 13
  11. 138
  12. 31
  13. 112
  14. 25
  15. 5
  16. 81
  17. 23
  18. 67
  19. 6
  20. 112
  21. 0
  22. 28
  23. 122
  24. 97
  25. 21
  26. 11
  27. 304
  28. 36
  29. 312
  30. 2
  31. 144
  32. 26
  33. 125
  34. 1
  35. 105
  36. 42
  37. 395
  38. 309
  39. 23
  40. 70

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