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Symbol Substitution Worksheet

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

Answer key

  1. 159
  2. 304
  3. 20
  4. 44
  5. 135
  6. 246
  7. 22
  8. 271
  9. 110
  10. 247
  11. 116
  12. 55
  13. 5
  14. 38
  15. 123
  16. 3
  17. 24
  18. 243
  19. 293
  20. 154
  21. 22
  22. 99
  23. 32
  24. 31
  25. 0
  26. 4
  27. 147
  28. 64
  29. 16
  30. 315
  31. 174
  32. 78
  33. 1
  34. 10
  35. 89
  36. 10
  37. 89
  38. 20
  39. 13
  40. 19

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