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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 489 · 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 17 ÷ 12 − 8 + 17?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 10 − 14 ÷ 13?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 16 − 11 ÷ 7?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 19 ÷ 4 × 13?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 10 + 20 ÷ 11?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 8 ÷ 10 + 6?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 17 × 17 ÷ 13?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 4 × 12 ÷ 4?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 2 − 15 × 15?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 11 − 20 + 20?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 12 ÷ 4 − 3?
  12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 7 − 2 ÷ 6?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 4 + 2 × 18?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 6 × 2 − 17?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 9 ÷ 13 − 19?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 19 − 17 + 16?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 8 ÷ 19 − 14?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 9 + 13 − 8?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 20 × 19 + 15?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 4 − 9 ÷ 20?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 4 + 19 ÷ 8?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 20 + 15 ÷ 19?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 3 − 3 ÷ 16?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 16 − 14 + 16?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 12 × 6 − 2?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 11 ÷ 2 × 5?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 9 × 12 ÷ 15?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 15 + 5 − 10?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 20 ÷ 8 − 2?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 16 ÷ 12 × 6?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 10 + 20 × 7?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 4 + 2 ÷ 13?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 6 ÷ 14 × 20?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 2 ÷ 4 − 19?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 3 − 5 ÷ 3?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 6 + 2 × 16?
  37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 16 ÷ 3 + 6?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 17 − 11 × 6?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 6 − 2 + 4?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 6 × 4 − 10?

Answer key

  1. 141
  2. 190
  3. 78
  4. 257
  5. 21
  6. 77
  7. 27
  8. 8
  9. 15
  10. 1
  11. 20
  12. 22
  13. 28
  14. 57
  15. 249
  16. 314
  17. 19
  18. 40
  19. 284
  20. 2
  21. 33
  22. 291
  23. 3
  24. 20
  25. 212
  26. 74
  27. 42
  28. 19
  29. 89
  30. 86
  31. 1
  32. 23
  33. 36
  34. 51
  35. 29
  36. 29
  37. 5
  38. 200
  39. 18
  40. 39

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