Questions

From Worst to Best

116 P6.RD.TL.16010172

Level 3
Rael, Peter and Zane had a total of 839 erasers. The ratio of Peter's erasers to Zane's erasers was 4 : 3 at first. Rael and Peter each gave away ¹₂ of their erasers. Given that the three boys had 502 erasers left, how many erasers did Rael have at first?

4 m

Video Attempt

117 P6.VO.NK.17081503

Level 3
A rectangular tank, 80 cm by 50 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5: 2. If ²₃ of the pail is filled with water, find

the volume of the pail.
the minimum number of such pails to fill the tank.

4 m

Attempt

Volume of cuboid Filling tank Min-max Fraction of a whole Ratio to units Units method

118 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

119 P6.RD.TL.16010167

Level 3
The total volume of water in Watering Can A, Watering Can B and Watering Can C was 205 mℓ. I poured out half the volume of water from Watering Can A, doubled the amount of water in Watering Can B and added 55 mℓ of water into Watering Can C. The ratio of the volume of water in Watering Can A to Watering Can B to Watering Can C is now 5 : 4 : 8. Find the total volume of water in the three watering cans now.

4 m

Attempt

Ratio to units Volume Times as many All change Units table Working backwards

120 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.