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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 659 · 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 9 − 3 + 7 × 20?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 5 ÷ 13 × 11?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 16 ÷ 3 × 10?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 14 − 2 ÷ 4?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 13 + 15 − 5?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 9 + 16 × 2?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 18 − 6 × 14?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 5 − 5 ÷ 18?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 20 ÷ 3 + 12?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 10 − 11 + 2?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 6 + 3 ÷ 16?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 15 − 11 ÷ 19?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 10 ÷ 14 + 13?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 18 ÷ 9 × 2?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 20 ÷ 20 × 18?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 10 ÷ 16 × 11?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 12 − 2 + 5?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 14 ÷ 3 − 3?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 2 + 20 − 5?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 ÷ 10 − 10?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 8 ÷ 12 × 6?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 20 − 9 × 3?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 20 ÷ 11 − 4?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 18 − 2 × 15?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 13 ÷ 3 + 17?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 5 − 17 + 11?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 19 ÷ 7 + 3?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 4 ÷ 3 − 19?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 13 − 11 ÷ 8?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 14 ÷ 16 + 16?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 2 × 16 + 13?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 20 + 2 ÷ 17?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 12 − 3 ÷ 9?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 11 × 18 ÷ 7?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 9 + 18 × 15?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 14 × 13 ÷ 8?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 10 × 9 ÷ 4?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 19 − 19 + 20?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 16 + 19 × 17?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 5 × 13 ÷ 20?

Answer key

  1. 41
  2. 17
  3. 57
  4. 43
  5. 42
  6. 145
  7. 40
  8. 20
  9. 51
  10. 68
  11. 25
  12. 165
  13. 141
  14. 331
  15. 318
  16. 7
  17. 12
  18. 1
  19. 3
  20. 101
  21. 30
  22. 223
  23. 38
  24. 51
  25. 46
  26. 185
  27. 21
  28. 58
  29. 154
  30. 196
  31. 11
  32. 103
  33. 34
  34. 77
  35. 177
  36. 75
  37. 33
  38. 36
  39. 126
  40. 97

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