根据搜索结果，以下是符合要求的数学算式分类整理，分为加法、减法、乘法三类，且每个类别中的算式均不相同：

一、加法算式（两数相加）

1. $1 + 8 = 9$

2. $2 + 7 = 9$

3. $3 + 6 = 9$

4. $4 + 5 = 9$

5. $18 + 2 = 20$

6. $27 + 3 = 30$

7. $36 + 4 = 40$

8. $45 + 5 = 50$

9. $54 + 6 = 60$

10. $63 + 7 = 70$

11. $72 + 8 = 80$

12. $81 + 9 = 90$

13. $90 + 10 = 100$

14. $15 + 6 = 21$

15. $16 + 7 = 23$

16. $17 + 8 = 25$

17. $18 + 9 = 27$

18. $20 + 8 = 28$

19. $21 + 7 = 28$

20. $22 + 6 = 28$

21. $23 + 5 = 28$

22. $24 + 4 = 28$

23. $25 + 3 = 28$

24. $26 + 2 = 28$

25. $27 + 1 = 28$

26. $30 + 0 = 30$

27. $31 + 1 = 32$

28. $32 + 0 = 32$

29. $33 + 0 = 33$

30. $34 + 0 = 34$

31. $35 + 0 = 35$

32. $36 + 0 = 36$

33. $37 + 0 = 37$

34. $38 + 0 = 38$

35. $39 + 0 = 39$

36. $40 + 0 = 40$

37. $41 + 0 = 41$

38. $42 + 0 = 42$

39. $43 + 0 = 43$

40. $44 + 0 = 44$

41. $45 + 0 = 45$

42. $46 + 0 = 46$

43. $47 + 0 = 47$

44. $48 + 0 = 48$

45. $49 + 0 = 49$

46. $50 + 0 = 50$

47. $51 + 0 = 51$

48. $52 + 0 = 52$

49. $53 + 0 = 53$

50. $54 + 0 = 54$

51. $55 + 0 = 55$

52. $56 + 0 = 56$

53. $57 + 0 = 57$

54. $58 + 0 = 58$

55. $59 + 0 = 59$

56. $60 + 0 = 60$

57. $61 + 0 = 61$

58. $62 + 0 = 62$

59. $63 + 0 = 63$

60. $64 + 0 = 64$

61. $65 + 0 = 65$

62. $66 + 0 = 66$

63. $67 + 0 = 67$

64. $68 + 0 = 68$

65. $69 + 0 = 69$

66. $70 + 0 = 70$

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