Questions

From Worst to Best

151 P6.VO.NK.17080915

Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, ²₅ of it is filled. Find the height of the tank.

4 m

Attempt

Height of cuboid Filling tank Fraction of a whole Ratio to units Unit conversion Rectangle Units method

152 P6.VO.JC.19091413

Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.

How many small cubes does David have?
The volume of the tank is 504 cm³. If the large cubes took up ³₇ of the tank, What is the length of the edge of one small cube?

4 m

Attempt

Volume of cuboid Volume of cube Cube & cube root Filling up with cubes LCM F Multiplication Units method

153 P6.AN.NK.17051704

Level 3
The figure is not drawn to scale. ∠c and ∠a are in the ratio 1 : 3. ∠b and ∠d are in the ratio 3 : 2. If ∠a = 105°, find ∠d.

3 m

Attempt

Sum of angles in a quadrilateral Ratio to units Units method

154 P6.SP.TL.18012286

Level 3
A car uses 9 litres of petrol for every 50 km it travels at an average driving speed is 80 km/h. It uses 6 litres of petrol for every 70 km it travels when it average driving speed is 60 km/h. How much petrol will the car consume use for a journey which lasts 12 h if it travels at 80 km/h for 5 h and 60 km/h for the rest of the journey?

4 m

Attempt

Rate of 1 object DST triangle Journey by parts Unit conversion Duration Volume Units method

155 P6.FR.JC.19082905

Level 3
Bryan had some stickers. He gave ¹₅ of his stickers to John and bought 4 new stickers. After that, he gave ¹₃ of his remaining stickers to his brother and bought another 7 new stickers. In the end, Bryan had 55 stickers.