The Chase (British game show)
At the start, the player's money goes on a sloped board. The board has seven spaces. The player starts three spaces ahead of the Chaser. The Chaser then offers two amounts: one higher than their bank, and one lower than their bank. For example, if the player won £6,000, the Chaser might offer £12,000 as the high amount and £3,000 as the low amount. If the player takes the high amount, their head start is lowered to two spaces. If they take the low amount, their head start is increased to four spaces.