Level 3
A pail with a capacity of 24 ℓ was full of water. Some of the water was transferred into an empty rectangular tank of capacity 18 ℓ. 56 of the rectangular tank is now filled with water. What fraction of the pail is now filled with water?
Level 3
Lucy paid a total of $550 for a brooch, a necklace and a watch.
She spent 35 of her money on the brooch. The necklace cost 3 times as much as the watch. How much did she pay for the necklace?
Level 3
The figure is not drawn to scale. It shows a container made of two connected cubical tanks, A and B. Tank A is sealed at the top and completely filled to the brim. Tank B is 35 filled with 129600 mℓ of water. The height of the water level in Tank B is 1 cm higher than that in Tank A. The height of Tank B is 60 cm. Water is then drained from the container and the height of the water level from the base falls to 30 cm.
What is the capacity of Tank B?
What is the volume of water in the tank now in litres?
Level 3
The figure is not drawn to scale. It shows a container made of two connected cubical tanks, A and B. Tank A is sealed at the top and completely filled to the brim. Tank B is 35 filled with 129600 mℓ of water. The height of the water level in Tank B is 1 cm higher than that in Tank A. The height of Tank B is 60 cm. Water is then drained from the container and the height of the water level from the base falls to 30 cm.
What is the capacity of Tank B?
What is the volume of water in the tank now in litres?
Level 3
After 20 minutes into a race, Daniel has run 58 of the route while Piolo has covered only 38 of the distance. Daniel runs at the same average speed throughout the race and Piolo's average speed is 60 m/min slower than Daniel's. If Piolo wants to finish the race at the same time as Daniel, by how many percent should he increase his average speed by for the remaining part of the race? Round off the answer to the nearest whole number.
Level 3
Tina paid a total of $210 for a shirt, a pair of socks and a pair of shoes. She spent 27 of her money on the pair of socks. The pair of shoes cost 4 times as much as the shirt. How much more did she pay for the pair of shoes than the shirt?
Level 3
Jake took part in a 25-km cycling race. There was a water refill station at half the distance of the race.
Jake stopped at the water refill station to refill his water bottle. How many kilometres was he away from the starting point to the water refill station?
After passing the water refill station, Jake cycled 710 of the remaining distance and stopped. How many metres was he away from the finishing point?
Level 3
During the school holidays, Vanessa spent 18 of her day outside playing with her friends and 5 hours on playing board games. The rest of her time was spent in the house. How many hours did he spend in the house that day?
