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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 976 · 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 ÷ 3 + 11 × 7?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 20 + 14 ÷ 9?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 7 + 2 ÷ 13?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 11 + 11 ÷ 20?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 14 × 20 + 7?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 2 − 3 × 15?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 16 − 2 × 19?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 14 × 6 ÷ 17?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 16 ÷ 17 − 4?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 2 − 3 + 2?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 15 ÷ 10 − 10?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 19 × 3 − 3?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 8 − 2 × 16?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 4 × 8 ÷ 5?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 5 × 5 + 10?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 4 × 3 − 17?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 7 ÷ 4 × 3?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 7 + 20 × 5?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 15 − 15 ÷ 7?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 9 × 20 − 20?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 10 + 3 × 14?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 10 × 6 ÷ 15?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 2 × 2 − 17?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 16 ÷ 18 + 9?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 5 ÷ 7 + 14?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 10 + 8 ÷ 12?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 9 + 3 × 16 − 3?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 19 ÷ 6 − 8?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 2 + 2 × 2?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 20 × 19 − 15?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 15 ÷ 3 − 13?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 10 + 8 ÷ 11?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 20 × 12 ÷ 14?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 13 × 7 − 5?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 7 − 18 ÷ 4?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 19 − 3 ÷ 5?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 11 − 2 + 7?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 13 − 4 + 10?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 14 × 14 + 18?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 18 ÷ 6 − 4?

Answer key

  1. 5
  2. 286
  3. 7
  4. 33
  5. 128
  6. 25
  7. 51
  8. 67
  9. 69
  10. 6
  11. 19
  12. 75
  13. 72
  14. 21
  15. 25
  16. 17
  17. 134
  18. 17
  19. 8
  20. 0
  21. 20
  22. 89
  23. 18
  24. 50
  25. 43
  26. 80
  27. 51
  28. 48
  29. 20
  30. 35
  31. 36
  32. 84
  33. 358
  34. 24
  35. 105
  36. 15
  37. 204
  38. 48
  39. 240
  40. 20

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