Where the locations are......

Look at the yellow thumbtacks.Those designate the three places.
Taken with Google Earth.
For Little Guilin Lake, it refers to the whole Bukit Batok Park.

Bukit Gombak Stadium

This is Bukit Gombak Stadium. It was home to Gombak United F.C. till 2002 before they changed their home ground. Now people come in the morning for morning jogs. It is also a Centre of Excellence for the Singapore Athletics Association. Many athletic tournaments happen here. The stadium has a capacity for 3000 people. It has a running track and a field. It is right beside the Bukit Gombak MRT Station and Little Guilin Lake.

Ar-Raudhah Mosque

Ar-Raudhah means ‘Garden in the heaven'.

The work on Masjid Ar-raudhah started in 1989 and completed in 1993.
The development of the building cost S$ 6.2 million.
Unlike other mosques, it is unique because it does not have a dorm on top of its building.

The mosque prides itself for having an extensive library of Islamic literatures. Built in 1993, it is located in the West and is one of the pioneer mosque offering computer facilities to Muslims. It can accommodate up to 3,000 worshippers.

Little Guilin Lake

This is Little Guilin Lake.  It is a granite rock sitting within a lake. It was originally a disused granite quarry. In fact, the name "Bukit Batok" has been suggested to be derived from the noise made by the blasting in the granite quarry that now form the natural surroundings of Little Guilin. Before being designated as a park, in 1984, the Housing and Development Board had originally intended to fill the quarry up and build a road on it. However, it was converted to a pond instead when it was realized that the existing quarry had rugged granite outcrops and a contrasting backdrop of green hills that gave it a pleasant look. Soon, the surrounding areas were also beautified and made accessible by placing granite blocks on the retaining walls and adding footpaths, lights and seating. This park is popular with shutterbugs and wedding couples. The park surrounding the lake is open for 24/7.