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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 533 · 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 16 × 18 − 4 ÷ 19?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 10 − 7 × 7?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 3 × 5 − 6?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 12 + 10 ÷ 11?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 9 ÷ 11 − 17?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 6 − 2 × 6?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 2 + 2 ÷ 5?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 8 ÷ 5 − 5?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 7 ÷ 8 − 7?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 5 − 15 + 4?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 5 − 5 + 14?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 6 + 14 ÷ 3?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 16 − 16 × 6?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 13 × 4 ÷ 13?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 18 ÷ 17 − 9?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 5 + 15 ÷ 16?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 15 ÷ 9 × 16?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 12 + 2 − 19?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 16 ÷ 2 × 13?
  20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 18 × 4 − 7?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 20 + 3 ÷ 18?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 4 ÷ 7 + 7?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 2 ÷ 9 + 11?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 3 − 9 + 2?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 15 ÷ 12 × 6?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 19 × 9 − 2?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 8 + 19 × 5?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 9 ÷ 2 × 6?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 19 + 19 ÷ 4?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 10 × 2 + 18?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 9 ÷ 11 + 9?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 3 − 20 × 6?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 3 ÷ 2 − 10?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 11 − 12 + 5?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 2 ÷ 18 + 2?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 12 × 4 − 7?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 7 × 4 − 5?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 3 × 15 + 3?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 13 + 2 × 13?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 12 + 11 ÷ 10?

Answer key

  1. 69
  2. 41
  3. 18
  4. 145
  5. 196
  6. 12
  7. 10
  8. 103
  9. 54
  10. 81
  11. 6
  12. 55
  13. 6
  14. 48
  15. 140
  16. 71
  17. 278
  18. 15
  19. 293
  20. 16
  21. 47
  22. 69
  23. 107
  24. 20
  25. 111
  26. 13
  27. 156
  28. 4
  29. 8
  30. 31
  31. 8
  32. 15
  33. 38
  34. 64
  35. 160
  36. 207
  37. 71
  38. 11
  39. 91
  40. 215

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