Questions

From Worst to Best

171 P6.AN.NK.17050208

Level 3
In the figure, not drawn to scale, O is the centre of the circle. Given that the ratio of ∠OBC : ∠AOC is 3 : 11. Find ∠AOB.

4 m

Attempt

172 P6.AN.NK.17051738

Level 3
The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is ¹₂ of ∠x and ∠z is 3 times of ∠y, find

∠z
∠w.

4 m

Attempt

Isosceles triangle Angles on straight line Corresponding angles Sum of angles in a quadrilateral Fraction of a whole Fraction to units Times as many Units method

173 P6.AN.NK.17050210

Level 3
In the figure not drawn to scale, O is the centre of the circle and RSU and PST are straight lines. If ∠TSU = 54° and ∠RSO is twice of ∠OSP, find ∠Q.

4 m

Attempt

Isosceles triangle Circle Angles at a point Sum of angles in a quadrilateral Angles properties within a circle Times as many Units method

174 P6.SP.JC.17081502

Level 3
A rectangular tank measuring 120 cm by 50 cm by 100 cm is 50% filled with water. 10 identical pails of water that are completely filled are then scooped out from it. The water level drops to 45 cm. The remaining amount of water in the tank is later poured into a container that contains 40 litres of water. The water is then drained out through a tap found at the bottom of the container at 10 litres per minute.

What is the capacity of each pail?
How long did it take to drain the water from the container completely? Answer in terms of minutes.

5 m

Attempt

Rate 1 object Unit conversion Volume Volume of cuboid Height of cuboid Filling tank Volume transfer Percent of a whole Units method

175 P6.SP.JC.21061119

Level 3 PSLE
The figure shows taps A and B and an empty tank. At 2 p.m., tap A was turned on. Water flowed into the tank from tap A at a rate of 3.8 litres per minute. After 5 minutes, tap B was turned on. At 2.15 p.m., the tank was half filled with water.