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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 630 · 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 12 × 2 + 8 ÷ 5?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 17 ÷ 6 + 3?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 12 × 7 + 16?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 9 × 8 + 18?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 2 ÷ 7 + 18?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 10 × 11 ÷ 7?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 9 ÷ 3 − 6?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 4 × 16 − 4?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 20 + 14 × 12?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 20 × 5 ÷ 15?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 5 ÷ 13 − 6?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 2 × 5 − 3?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 20 + 5 × 20?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 2 × 10 ÷ 2?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 14 + 12 ÷ 14?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 3 − 12 + 2?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 9 − 15 ÷ 10?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 7 × 16 + 8?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 5 ÷ 8 × 8?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 16 × 15 ÷ 9?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 3 − 9 ÷ 18?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 10 − 10 × 14?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 6 + 11 − 2?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 10 + 10 ÷ 10?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 6 × 17 ÷ 3?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 14 − 2 × 8?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 18 − 13 × 9?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 18 × 3 − 20?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 4 − 6 ÷ 17?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 3 − 14 + 3?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 8 ÷ 6 + 4?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 3 − 3 × 12?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 19 × 15 ÷ 16?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 11 × 4 ÷ 2?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 2 + 2 × 8?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 18 − 19 × 15?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 10 × 4 ÷ 15?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 5 ÷ 6 × 4?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 7 ÷ 5 − 16?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 4 + 4 − 8?

Answer key

  1. 43
  2. 3
  3. 104
  4. 146
  5. 31
  6. 24
  7. 19
  8. 6
  9. 198
  10. 21
  11. 78
  12. 19
  13. 32
  14. 28
  15. 174
  16. 13
  17. 150
  18. 43
  19. 1
  20. 125
  21. 173
  22. 92
  23. 45
  24. 16
  25. 10
  26. 127
  27. 239
  28. 61
  29. 109
  30. 52
  31. 26
  32. 26
  33. 226
  34. 57
  35. 8
  36. 334
  37. 60
  38. 41
  39. 85
  40. 28

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