Me gustaría dibujar múltiples UIBezierPath en una UIView con diferentes trazos y colores de relleno.

Aquí está el código

- (void)drawRect:(CGRect)rect {

    context = UIGraphicsGetCurrentContext();

    [[UIColor grayColor] setFill]; 
    [[UIColor greenColor] setStroke];

    UIBezierPath *aPath = [[UIBezierPath alloc] init]; 
    [aPath moveToPoint:CGPointMake(227,34.25)];
    [aPath addLineToPoint:CGPointMake(298.25,34.75)];
    [aPath addLineToPoint:CGPointMake(298.5,82.5)];
    [aPath addLineToPoint:CGPointMake(251,83)];
    [aPath addLineToPoint:CGPointMake(251,67.5)];
    [aPath addLineToPoint:CGPointMake(227.25,66.75)];   
    [aPath closePath]; 
    aPath.lineWidth = 2;
    [aPath fill]; 
    [aPath stroke];

    UIBezierPath *aPath2 = [[UIBezierPath alloc] init];
    [aPath2 moveToPoint:CGPointMake(251.25,90.5)];
    [aPath2 addLineToPoint:CGPointMake(250.75,83.25)];
    [aPath2 addLineToPoint:CGPointMake(298.5,83)];
    [aPath2 addLineToPoint:CGPointMake(298.5,90.25)];
    [aPath2 closePath];
    aPath2.lineWidth = 2;
    [aPath2 fill]; 
    [aPath2 stroke];
    [paths addObject:aPath2];

El problema es que el trazo y el color de relleno se establecen en el contexto actual. ¿Es posible dibujar diferentes UIBezierPath con diferentes colores en el mismo CGContextRef?

¿O tengo que dibujar cada UIBezierPath en UIView por separado?