Choose between corrugated and solid board
Look at a cut edge before choosing a piece of cardboard. Different structures suit dividers, templates and small boxes.

Read the edge
The printed face of a box tells you little about its construction. A clean cut edge is more revealing. Corrugated cardboard has a fluted layer between outer liners. It provides useful stiffness without much weight, although exposed edges may need to be considered in the design. Thin folding carton is more compact and usually easier to turn into small tabs. Dense bookboard is better suited to rigid flat pieces than to tight, unprepared folds.
None of those descriptions guarantees strength. A shipping box may have lost stiffness through damp storage or repeated crushing. Press an inconspicuous corner and look for layers separating. Do not bring moldy, greasy, damp or chemically contaminated packaging into a household craft project.
Choose for the shape you need
Corrugated cardboard can work well for a drawer divider. Cut a narrow trial strip and compare how readily it bends in each direction. The flute orientation affects the result. Try the divider with the objects it will separate; standing upright while empty is a less demanding test than holding a row of supplies in place.
A reusable tracing template often benefits from solid, smooth-edged board. Your pencil can follow that edge more accurately than an open corrugated one. Excessive thickness can be a disadvantage because it hides the line and makes it harder to keep the pencil upright.
For a folded gift box, test a scored fold in a scrap. If the outer surface cracks badly or several layers peel away, use that board for a flat insert instead. A different material may produce a neater result with less effort than trying to force a stiff board around a narrow crease.
Check the surface before gluing
A glossy coating may respond differently to an adhesive than the plain reverse. Join two offcuts and allow the full drying time. If the glued joint pulls away with a thin printed skin attached, the weak point is the surface layer, even though the glue itself appears to have held.
Use a cutting mat and a tool intended for the board's thickness. With a firm sheet, several controlled passes along a stable guide are generally easier to manage than one heavily forced cut. Keep the supporting hand out of the cutting path. If the material exceeds what your tool can handle comfortably, choose thinner stock.
Store useful pieces flat and dry. Remove staples and check for hidden metal before saving a panel. A short note on the back can record where it worked well: drawer insert, tracing pattern or box base. Keep sizes you can reasonably use. A few sound, flat sheets are easier to work with than a large pile of damaged packaging that must be sorted again before every project.