I've got a package of needles similar to those. On the back of the package, it says they are "For most major sewing repairs around the Home or Farm".
Here's their uses:
- Curved Upholstery Needles: Chairs & Sofas, Car Seats, Mattresses, Pillows and Cushions.
- Packing Needle (widest wing needle): Sacks, Burlap Bags, Matting, Sewing with String.
- Sail Needle (smaller wing needle): Canvas, Leather, Harness, Sails, Beach Chairs, Awnings, Fabric Car tops, Tarpaulins & Heavy Plastics, Lampshades.
- Yarn Darner (large regular looking needle): Heavy Woolen Garments, Sweaters, Jackets, Blankets.
- Carpet Needle (larger regular looking needle): Mending and Seaming, Carpets and Rugs