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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 600 · 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 2 ÷ 4 × 19 − 17?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 4 − 12 + 16?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 6 − 8 ÷ 15?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 3 ÷ 3 × 20?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 6 + 10 × 2?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 3 − 3 × 5 + 5?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 10 + 18 × 12?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 3 + 3 ÷ 18?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 15 × 3 − 7?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 3 × 11 − 15?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 16 + 16 × 17?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 4 × 10 − 8?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 16 − 3 + 12?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 7 − 6 ÷ 3?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 4 ÷ 3 × 17?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 19 − 15 + 19?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 13 ÷ 7 × 20?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 6 + 20 × 10?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 20 ÷ 15 + 16?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 15 × 20 ÷ 10?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 15 × 15 − 14?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 8 × 11 ÷ 16?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 5 − 3 + 3?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 16 + 14 ÷ 9?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 2 ÷ 14 + 12?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 6 ÷ 14 × 14?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 16 + 17 − 17?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 9 × 17 − 17?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 4 + 3 − 12?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 4 × 19 ÷ 17?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 2 ÷ 13 + 2?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 9 − 14 + 14?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 20 − 14 ÷ 14?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 5 − 15 × 2?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 15 ÷ 8 × 16?
  36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 4 + 9 ÷ 2?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 20 ÷ 8 × 4?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 13 + 17 − 16?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 2 ÷ 19 − 12?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 18 − 4 × 19?

Answer key

  1. 321
  2. 5
  3. 101
  4. 26
  5. 50
  6. 1
  7. 48
  8. 2
  9. 7
  10. 171
  11. 30
  12. 80
  13. 19
  14. 13
  15. 10
  16. 277
  17. 234
  18. 11
  19. 222
  20. 95
  21. 20
  22. 67
  23. 6
  24. 220
  25. 10
  26. 96
  27. 36
  28. 287
  29. 6
  30. 3
  31. 28
  32. 2
  33. 260
  34. 80
  35. 24
  36. 16
  37. 46
  38. 51
  39. 1
  40. 28

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