Select a subject to draw. Most likely you will have to find a photograph or visit a museum in order to find your subject.
On a piece of practice paper, make a few "gesture drawings" or quick studies of the sphinx in order to get a sense of the proportions of the body and head.
Make a visual map of the location of the sphinx on the paper. Represent the body of the sphinx with a lightly drawn oval. The legs will be longer ovals protruding from the body. Make the head (a smaller oval) above the body.
Draw the body of the sphinx first. Start with the slope of the back at the base of the neck, and move toward the rear of the sphinx. This is the best place to begin because the relatively flat and regular line of the back is an easy jumping-off point. It will serve as a point of reference for the rest of the sphinx. Draw an outline around the rear legs and back to the belly. You may sketch the lines lightly at first if it makes you more comfortable.
Draw the front legs protruding from the belly and laying flat on the ground. Do not worry about any interior details--at first you will only draw the outline.
Move to the neck and head. Study the shape of the head before doing any work on the drawing. Pay close attention to the size of the head relative to the body.
Complete the outline of the sphinx by coming back to the place where you began at the area where the back meets the neck.
Study the outline you've made. Flick your eyes back and forth between the drawing and the subject you are drawing. Note where you see differences, and re-draw the outline when necessary.
When you are happy with the outline of the sphinx, begin adding details within the body such as the eyes and the mouth. Draw any lines on the headdress. Make the claws on the feet and muscles of the legs.
Erase the original ovals you drew, since you no longer need them to show you the proportions of the sphinx.
Add shadows where necessary, under the nose and chin, and on the underside of the belly.