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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 949 · 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 15 − 9 × 6 + 2?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 5 ÷ 6 × 15?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 12 ÷ 10 + 16?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 2 ÷ 6 − 14?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 17 − 19 ÷ 13?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 8 − 10 ÷ 2?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 7 × 7 − 16?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 4 ÷ 4 × 16?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 14 × 3 − 10?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 6 − 4 ÷ 16?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 20 − 6 + 3?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 20 × 4 − 11?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 3 − 8 × 4?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 6 ÷ 16 − 5?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 16 − 16 ÷ 13?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 9 − 9 × 16?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 10 ÷ 6 + 6?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 12 − 12 + 5?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 12 − 5 + 5?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 13 − 11 + 20?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 18 ÷ 13 × 18?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 18 × 6 + 8?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 4 × 7 ÷ 7?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 5 − 16 + 16?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 6 × 6 ÷ 12?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 15 × 4 ÷ 17?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 20 × 4 ÷ 19?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 20 × 2 + 2?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 19 ÷ 18 + 3?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 19 ÷ 8 − 8?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 15 × 14 ÷ 9?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 3 ÷ 14 + 12?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 14 − 8 × 3?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 13 + 2 − 5?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 8 ÷ 2 − 7?
  36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 11 − 10 × 20?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 7 − 5 ÷ 11?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 4 ÷ 6 − 5?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 20 × 8 − 12?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 9 + 6 × 11?

Answer key

  1. 21
  2. 54
  3. 168
  4. 20
  5. 278
  6. 72
  7. 33
  8. 9
  9. 22
  10. 90
  11. 49
  12. 34
  13. 26
  14. 83
  15. 198
  16. 20
  17. 59
  18. 60
  19. 17
  20. 126
  21. 31
  22. 19
  23. 44
  24. 6
  25. 60
  26. 43
  27. 75
  28. 120
  29. 53
  30. 28
  31. 127
  32. 8
  33. 4
  34. 15
  35. 12
  36. 42
  37. 21
  38. 30
  39. 124
  40. 59

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