沿一张圆形纸片的直径剪一刀，可以得到 2 等份。要得到 16 份大小相同的小纸片，需要沿直径剪多少刀？

1. Determine the relationship between the number of cuts along the diameter and the number of pieces obtained.

Each cut along the diameter passes through the centre of the circle.
$1$ cut produces $2$ pieces.
$2$ cuts produce $4$ pieces.
$3$ cuts produce $6$ pieces.
In general, $n$ cuts produce $2n$ pieces.

2. Calculate the number of cuts required for 16 pieces.

Let $n$ be the number of cuts.
$2n = 16$
$n = 16 \div 2 = 8$