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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 738 · 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 + 6 − 13 ÷ 8?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 5 + 12 ÷ 12?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 8 + 10 ÷ 3?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 16 × 8 − 16?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 9 − 8 × 13?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 3 × 18 − 20?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 3 × 10 + 5?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 2 ÷ 8 − 5?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 3 − 13 ÷ 2?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 16 ÷ 17 + 11?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 9 ÷ 2 + 19?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 9 × 6 + 3?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 2 − 18 × 18?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 6 × 15 + 3?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 6 × 20 ÷ 5?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 7 ÷ 10 + 18?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 10 − 10 ÷ 4?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 13 ÷ 3 + 8?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 15 × 2 + 4?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 12 ÷ 11 × 19?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 18 − 18 + 4?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 7 − 7 ÷ 10?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 17 + 3 − 16?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 19 × 16 ÷ 4?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 20 × 5 + 6?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 3 ÷ 7 − 4?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 11 ÷ 3 + 4?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 13 + 18 ÷ 13?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 16 − 4 ÷ 17?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 9 + 3 − 2?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 19 − 18 ÷ 5?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 3 − 3 + 9?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 17 × 17 ÷ 15?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 8 − 8 ÷ 6?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 9 ÷ 11 × 19?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 4 + 17 ÷ 16?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 9 − 7 + 10?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 6 ÷ 17 − 20?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 10 + 3 ÷ 2?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 5 × 20 − 4?

Answer key

  1. 107
  2. 4
  3. 65
  4. 34
  5. 103
  6. 21
  7. 60
  8. 42
  9. 23
  10. 86
  11. 12
  12. 21
  13. 180
  14. 13
  15. 69
  16. 182
  17. 46
  18. 42
  19. 11
  20. 100
  21. 94
  22. 25
  23. 132
  24. 373
  25. 39
  26. 48
  27. 47
  28. 227
  29. 56
  30. 6
  31. 146
  32. 17
  33. 121
  34. 47
  35. 188
  36. 43
  37. 123
  38. 341
  39. 99
  40. 15

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