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There are two courses - Olympia (the lower of the two) and Highland. In summer time, there's also a theme park, and you can try your hand at grass skiing. Personally the though of falling over on the snow is more appealing. Access and parking to the ski runs is free, and ski chair passes start around 3,500yen (4 hours) 3,900 yen (6hours), 4,800 yen (full day). A night ticket costs 1800 yen (4-9pm). The runs cater for all skill levels, but the die-hards will most likely head off to Niseko anyhow.
One of the attractions of Teine ski runs is the view (and the proximity to Sapporo). You get brilliant views across the city plains, out across the bay and to the mountains to the north-east. The view changes subtly throughout the day and into the evening.