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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 612 · 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 20 ÷ 6 + 3 × 20?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 3 × 11 ÷ 19?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 13 − 13 × 19 ÷ 6?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 18 × 6 ÷ 13?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 2 − 11 × 5?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 12 + 2 × 11?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 6 + 10 − 15?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 8 × 12 − 17?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 16 + 19 × 19?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 19 + 19 × 14 − 20?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 18 + 17 − 18?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 18 ÷ 6 × 2?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 16 + 4 ÷ 16?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 20 − 3 + 11?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 9 + 5 ÷ 15?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 15 ÷ 11 × 9?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 13 ÷ 19 × 9?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 12 − 15 ÷ 8?
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 7 + 19 ÷ 3?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 14 × 12 ÷ 20?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 9 − 6 × 2?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 4 × 4 + 3?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 3 − 4 ÷ 7?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 17 + 20 × 10?
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 20 × 10 − 6?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 18 × 11 + 4?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 5 × 3 ÷ 3?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 13 ÷ 7 + 11?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 18 + 19 − 19?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 7 ÷ 16 × 4?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 20 × 9 + 16?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 3 ÷ 6 × 2?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 17 + 13 − 12?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 17 ÷ 6 × 16?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 13 × 5 + 20?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 8 + 16 × 8?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 15 + 10 − 5?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 14 ÷ 16 + 4?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 20 + 10 ÷ 19?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 19 ÷ 3 + 7?

Answer key

  1. 38
  2. 212
  3. 14
  4. 8
  5. 1
  6. 10
  7. 19
  8. 19
  9. 20
  10. 281
  11. 34
  12. 50
  13. 140
  14. 60
  15. 20
  16. 175
  17. 243
  18. 175
  19. 135
  20. 78
  21. 29
  22. 16
  23. 33
  24. 21
  25. 34
  26. 313
  27. 65
  28. 178
  29. 252
  30. 10
  31. 134
  32. 35
  33. 237
  34. 180
  35. 95
  36. 48
  37. 205
  38. 32
  39. 46
  40. 243

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