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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 793 · 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 9 + 17 ÷ 14 × 19?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 13 − 13 + 2?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 17 ÷ 8 + 2?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 14 + 4 ÷ 8?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 2 − 7 ÷ 11?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 12 × 20 ÷ 4?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 15 + 18 × 6?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 15 − 15 × 17?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 6 − 6 + 12?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 7 − 7 ÷ 7?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 5 − 8 × 2?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 14 + 17 × 7?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 2 ÷ 6 × 6?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 2 ÷ 5 − 9?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 8 ÷ 6 × 2?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 4 − 16 × 13?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 11 ÷ 18 + 11?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 18 × 18 − 12?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 5 − 16 × 13?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 2 + 16 × 14?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 20 × 4 − 20?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 2 × 2 − 12?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 3 ÷ 13 + 17?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 3 + 13 − 13?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 7 ÷ 3 + 11?
  26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 6 − 13 × 19?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 8 × 4 ÷ 2?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 8 × 4 ÷ 4?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 6 − 6 ÷ 15?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 17 × 18 − 9?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 9 ÷ 3 × 20?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 9 ÷ 5 × 4?
  33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 2 − 5 ÷ 18?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 15 − 2 ÷ 7?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 4 − 13 ÷ 19?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 2 + 4 ÷ 2?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 17 ÷ 15 + 15?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 4 − 18 + 14?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 18 × 19 + 6?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 13 + 15 ÷ 16?

Answer key

  1. 158
  2. 206
  3. 2
  4. 55
  5. 17
  6. 76
  7. 42
  8. 212
  9. 44
  10. 13
  11. 5
  12. 250
  13. 6
  14. 55
  15. 43
  16. 15
  17. 199
  18. 23
  19. 5
  20. 16
  21. 70
  22. 6
  23. 38
  24. 15
  25. 90
  26. 66
  27. 126
  28. 136
  29. 94
  30. 161
  31. 53
  32. 107
  33. 58
  34. 41
  35. 256
  36. 8
  37. 120
  38. 255
  39. 103
  40. 105

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