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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 362 · 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 ÷ 15 × 4 − 14?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 3 × 3 ÷ 5?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 2 − 11 ÷ 18?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 3 − 3 + 4?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 19 − 2 + 19?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 15 × 6 − 6?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 5 ÷ 12 − 10?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 2 ÷ 10 + 2?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 3 ÷ 5 × 16?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 6 × 12 ÷ 3?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 15 − 18 ÷ 10?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 5 ÷ 19 + 15?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 4 ÷ 6 × 4?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 13 × 13 + 6?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 2 ÷ 5 × 7?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 15 × 6 ÷ 10?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 13 × 6 − 14?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 17 ÷ 5 × 11?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 2 ÷ 18 + 9?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 × 19 ÷ 15 − 2?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 10 × 10 ÷ 14?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 13 − 7 ÷ 7?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 17 + 18 ÷ 10?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 9 ÷ 7 + 14?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 6 ÷ 13 × 9?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 3 ÷ 4 − 16?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 17 ÷ 16 × 2?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 3 × 6 + 3?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 6 ÷ 5 − 17?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 3 ÷ 18 + 20?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 17 ÷ 9 + 18?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 7 ÷ 12 × 3?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 2 × 19 ÷ 9?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 4 + 17 × 17?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 10 + 5 ÷ 19?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 7 + 17 × 16?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 6 − 8 + 4?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 16 × 13 − 17?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 5 × 18 ÷ 14?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 8 − 20 × 4?

Answer key

  1. 43
  2. 53
  3. 14
  4. 16
  5. 6
  6. 28
  7. 11
  8. 98
  9. 35
  10. 123
  11. 28
  12. 288
  13. 14
  14. 9
  15. 18
  16. 266
  17. 216
  18. 334
  19. 10
  20. 31
  21. 34
  22. 44
  23. 301
  24. 128
  25. 4
  26. 78
  27. 201
  28. 10
  29. 14
  30. 16
  31. 153
  32. 123
  33. 26
  34. 59
  35. 19
  36. 113
  37. 2
  38. 164
  39. 0
  40. 3

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