32. 120- 144÷ 18+35

33.347+45×2-4 160÷52

34(58+37)÷(64-9×5)

35.95÷(64-45)

36. 178- 145÷5×6+42 420+580-64×2 1÷28

37.8 12-700÷(9+3 1× 1 1) ( 136+64)×(65-345÷23)

38.85+ 14×( 14+208÷26)

23) 1.2×2.5+0.8×2.5

24) 8.9× 1.25-0.9× 1.25

25) 12.5×7.4×0.8

26) 9.9×6.4-(2.5+0.24)

(27) 6.5×9.5+6.5×0.5

0.35× 1.6+0.35×3.4

6.72-3.28- 1.72

0.45+6.37+4.55

5.4+6.9×3-(25-2.5)2×4 1846-620-380

4.8×46+4.8×54

0.8+0.8×2.5

1.25×3.6×8×2.5- 12.5×2.4

28× 12.5- 12.5×20

23.65-(3.07+3.65)

(4+0.4×0.25)8×7× 1.25

1.65×99+ 1.65

27.85-(7.85+3.4)

48× 1.25+50× 1.25×0.2×8

7.8×9.9+0.78

( 10 10+309+4+68 1+6)× 12

3×9 146×782×6×854

5. 15×7/8+6. 1-0.60625

39.(284+ 16)×(5 12-8208÷ 18)

40. 120-36×4÷ 18+35

4 1.(58+37)÷(64-9×5)

42.(6.8-6.8×0.55)÷8.5

43.0. 12× 4.8÷0. 12×4.8

44.(3.2× 1.5+2.5)÷ 1.6 (2)3.2×( 1.5+2.5)÷ 1.6

45.6- 1.6÷4= 5.38+7.85-5.37=

46.7.2÷0.8- 1.2×5= 6- 1. 19×3-0.43=

47.6.5×(4.8- 1.2×4)= 0.68× 1.9+0.32× 1.9

48. 10. 15- 10.75×0.4-5.7

49.5.8×(3.87-0. 13)+4.2×3.74

50.32.52-(6+9.728÷3.2)×2.5

5 1.[(7. 1-5.6)×0.9- 1. 15] ÷2.5

52.5.4÷[2.6×(3.7-2.9)+0.62]

53. 12×6÷( 12-7.2)-6 (4) 12×6÷7.2-6

The first little question is actually wrong!

(1)∵ arc AC: arc BC= 1:2,

∫ arc AC+ arc BC = 180,

∴ arc AC = 180/3 = 60,

∴∠ABC=30，

∴∠PBC=60，

And ∵PB=PC (tangent length theorem),

∴△PBC is a regular triangle,

∴∠bpc=60；

(2) connecting AC, BC, BD,

∫∠ABC = 30，

∴AC=AB/2= 1，

∴BC=√3，

∴PB=√3，

∴PA=√7，

∴PB^2=PD*AP

∴PD*√7=3，

∴PD=3/√7=3√7/7。