Ba Boom! Look out!

Look out for three 64 pounder Rifled Muzzle Loading Guns (RML) dated 1885 situated at the slope leading to the Surrender Chambers as shown in the picture below:

Given that the length of an A4 size paper is 30cm, estimate the radius of the gun mouth, showing your working clearly in the space below. Leave your answer in terms of pi.

Symmetry in Daily Life

A line of symmetry of a figure cuts the given figure into 2 equal and identical halves.

For example,

Look for a Fourwinds Trading Company truck outside the museum Images of Singapore. Observe the logo on the truck.

Make a copy of the design in the given space and show the number of line(s) of symmetry seen in the design.

Who is Faster?

Look for the escalator on the left of the museum Images of Singapore that leads to the Merlion.

The Distance-Time graph below shows a comparison between “walking down the escalator” and “walking down the stairs next to the escalator”.

Assuming that, in the above graph, the walking pace is about the same for both persons, add a line to the graph that would represent the distance versus time for a person who is standing still on the downward escalator.

*Hint: You and your group members may experiment on the escalator to find the answer.

Question source: PISA (Programme for International Student Assessment) survey.

Angles inside a Shape

We know that the sum of all angles inside a triangle is 180 degrees.Look for the Tiger Sky Tower. Draw the shape of the observation cabin of the Tiger Sky Tower in the given space below.

Calculate the sum of all angles inside the shape of the observation cabin of Tiger Sky Tower in the given space below. No. of triangles in shape = 9
Sum of interior angles = 9 x 180 degrees = 1620 degrees

Fort Siloso - Prisoners of War (POW) Camp

In the 1800s, Britain was the world’s greatest imperial power with colonies all over the world. Fort Siloso, together with other forts in Singapore played an important role in protecting the colony. In fact, Fort Siloso was one of the artillery forts earmarked by the British to protect the western entrance to Keppel Harbour.

During World War II, Singapore was occupied by the Japanese. Fort Siloso at Sentosa Island soon became a Prisoners of War (POW) camp for both military and civilian personnels following the British surrender. During the war, the people survived through staples such as sweet potato, tapioca and yam as seen planted around Fort Siloso.

After 3.5 years of Japanese Occupation, Japan finally surrendered when the Allied Forces dropped a bomb at Hiroshima, Japan.

Identify the year that Singapore was occupied by the Japanese.

Add suitable mathematical symbols +, -, x, ÷ and to the year so that it equals to 4.