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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 337 · 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 14 − 9 + 19 ÷ 7?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 12 − 4 + 7?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 7 − 7 ÷ 6?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 18 × 12 + 4?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 10 − 11 + 10?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 17 + 6 × 3?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 19 + 6 ÷ 3?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 2 + 6 ÷ 6?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 18 + 7 × 15?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 15 ÷ 9 − 3?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 15 − 19 ÷ 16?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 18 − 17 + 3?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 5 + 5 − 12?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 15 + 6 × 13?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 11 ÷ 14 × 9?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 10 × 7 ÷ 5?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 8 − 2 + 2?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 14 + 15 × 10?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 5 − 12 × 20?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 7 ÷ 14 − 14?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 13 − 7 ÷ 10?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 2 × 11 ÷ 5?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 10 − 2 + 10?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 2 ÷ 8 + 15?
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 16 ÷ 6 + 15?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 11 − 5 + 4?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 4 × 15 − 3?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 16 ÷ 7 − 2?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 3 + 14 − 7?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 17 ÷ 18 + 9?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 16 ÷ 6 + 19?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 5 + 19 × 19?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 4 + 2 × 9?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 14 − 2 + 8?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 3 ÷ 4 × 10?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 20 − 17 ÷ 18?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 6 − 3 + 5?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 20 − 10 × 14?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 14 ÷ 17 + 7?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 9 + 3 × 17?

Answer key

  1. 114
  2. 35
  3. 9
  4. 327
  5. 116
  6. 31
  7. 20
  8. 2
  9. 127
  10. 64
  11. 288
  12. 306
  13. 7
  14. 38
  15. 115
  16. 168
  17. 28
  18. 212
  19. 37
  20. 201
  21. 101
  22. 20
  23. 28
  24. 9
  25. 100
  26. 55
  27. 23
  28. 5
  29. 8
  30. 87
  31. 118
  32. 9
  33. 7
  34. 16
  35. 3
  36. 334
  37. 7
  38. 3
  39. 246
  40. 47

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