The skittles game that I used to play in Singapore and parts of Malaysia is based also on 31 points total for a game.
10 light colored skittles and 2 black skittles. The light colored skittles are allocated points: 2 skittles each worth 1, 2, and 4 points; one skittle each worth 3, 5, 6 and 10 points. The black skittles are the "demons". Any player knocking either skittle down will be deemed "dead" and will have to start another game from scratch.
Balls: 2 white balls (strikers or handballs) and 1 red ball (object ball)
Placement of the skittles: (As you stand at the snooker "D")
On the right-hand side of the table: starting about 3 ft from the bottom of the table and moving up about 20 ins between skittles, you have the # 1, 6, 2 and 4 in that order.
On the left-hand side, in similar fashion, you have the # 3, 2, 4 and 1 skittles.
The # 5 skittle is placed on the pink-ball snooker spot. The # 10 skittle is placed on the yellow-ball snooker spot.
One of the two black skittles is placed inside the # 6 on the right-hand side of the table and the other black skittle is placed on the green-ball snooker spot.
The balls: one white ball placed midway between the yellow-ball spot and the right-hand edge of the table, and the other is placed midway between the green-ball spot and the left-hand edge of the table. The 2 white balls are differentiated (usually one is marked with a black spot) so that they can be placed on the correct spot.
The red ball is placed on the black-ball snooker spot.
The play: Each player draws a pea or seed from 10 seeds which are numbered from 7 to 16. They do not reveal their seeds to the other players. Depending on the number of their seed, they will need to knock down skittles which when added to their seed will total 31 for the game. Knocking down excess points in skittles will render them "dead" and they will have to start another game from scratch.
Players may use either of the white balls as a striker to hit the other white ball or the red ball. Any ball / s entering the pockets will be replaced on their designated spot.
Players are also required to guard against the next player to prevent them completing their 31 point game. Any player who allows the next player to have a direct game-shot will have to pay for the other players (except for the "dead" games that the other players committed themselves through knocking down one of the black skittles, or scoring in excess of the 31 points).
As can be imagined, the game requires good skills in handball and object ball control, potting skills, angles skills and safety play. It is a fascinating game, and I recall spending hours and hours playing it.
I hope to introduce it to the Pot Black Snooker saloons in Perth, Western Australia where I migrated to from Singapore some twenty years ago. In fact anyone connected to billiards and/or snooker in Perth is invited to contact me...
Hope the above helps.