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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 703 · 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 2 − 2 + 3 × 20?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 17 + 14 − 17?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 5 + 5 − 4?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 9 + 9 ÷ 18?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 17 − 6 × 20?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 14 + 13 × 3?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 17 − 13 ÷ 3?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 18 − 5 ÷ 15?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 16 + 3 − 4?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 4 × 9 + 3?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 6 + 3 × 6?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 10 × 2 ÷ 10?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 5 + 20 − 6?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 10 ÷ 7 × 7?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 15 + 15 ÷ 16?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 6 × 7 ÷ 4?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 15 × 7 − 3?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 16 − 3 + 12?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 7 ÷ 12 + 15?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 15 + 4 ÷ 16?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 19 × 10 ÷ 19?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 15 + 16 ÷ 14?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 13 − 4 ÷ 13?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 6 − 2 × 18?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 15 + 10 ÷ 16?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 5 ÷ 5 − 11?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 5 ÷ 5 + 18?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 19 ÷ 16 + 5?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 15 − 5 + 3?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 8 ÷ 19 + 3?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 14 × 5 ÷ 4?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 7 + 2 − 3?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 18 × 2 ÷ 10?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 19 − 2 ÷ 6?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 7 + 6 − 3?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 10 ÷ 4 − 10?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 12 ÷ 4 + 5?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 10 ÷ 7 − 3?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 5 × 12 + 4?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 15 + 14 × 7?

Answer key

  1. 23
  2. 31
  3. 16
  4. 70
  5. 156
  6. 185
  7. 231
  8. 77
  9. 20
  10. 26
  11. 111
  12. 10
  13. 66
  14. 20
  15. 32
  16. 21
  17. 14
  18. 56
  19. 182
  20. 42
  21. 276
  22. 28
  23. 42
  24. 10
  25. 140
  26. 96
  27. 7
  28. 220
  29. 2
  30. 158
  31. 251
  32. 2
  33. 100
  34. 300
  35. 20
  36. 49
  37. 131
  38. 24
  39. 14
  40. 83

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