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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 577 · 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 − 15 + 12 ÷ 4?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 5 + 12 × 2?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 8 ÷ 16 × 2?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 11 + 4 × 6?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 4 ÷ 10 − 16?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 2 ÷ 18 − 2?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 3 + 15 − 3?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 20 − 20 ÷ 20?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 12 ÷ 11 + 7?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 10 + 8 × 5?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 13 ÷ 3 × 11?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 4 × 10 ÷ 5?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 11 + 4 × 15?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 7 + 7 − 19?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 12 + 12 ÷ 11?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 16 ÷ 14 × 7?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 13 + 20 − 10?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 18 + 9 − 11?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 14 × 19 ÷ 16?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 11 ÷ 4 × 10?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 9 + 3 × 11?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 18 − 2 × 18?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 4 × 6 ÷ 4?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 3 + 10 ÷ 15?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 9 ÷ 19 + 14?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 20 × 20 + 3?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 3 × 20 + 4?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 11 ÷ 2 − 7?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 2 × 12 − 10?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 14 × 2 − 2?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 18 × 14 ÷ 16?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 17 + 6 ÷ 15?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 10 + 9 ÷ 9?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 3 − 18 × 18?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 15 ÷ 4 × 18?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 13 − 13 ÷ 2?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 12 − 4 ÷ 2?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 4 − 5 + 4?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 7 ÷ 8 + 4?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 19 + 19 ÷ 12?

Answer key

  1. 183
  2. 12
  3. 16
  4. 58
  5. 162
  6. 24
  7. 29
  8. 400
  9. 128
  10. 83
  11. 138
  12. 75
  13. 33
  14. 36
  15. 152
  16. 302
  17. 31
  18. 27
  19. 213
  20. 104
  21. 44
  22. 198
  23. 58
  24. 34
  25. 161
  26. 0
  27. 14
  28. 49
  29. 134
  30. 32
  31. 128
  32. 100
  33. 100
  34. 7
  35. 74
  36. 8
  37. 1
  38. 34
  39. 17
  40. 19

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