Level 3
The capacity of a tank is 5 ℓ 50 mℓ. The capacity of a mug is 110 of the capacity of the tank. The difference in capacity between the 2 containers is . Express your answer in mℓ.
Level 3
The figure, not drawn to scale, shows an empty tank measuring 20 cm by 15 cm by 15 cm. Water flows from Tap A at a rate of 300 mℓ per minute and from Tap B at a rate of 180 mℓ per minute. Tower X and Tower Y have a base area of 20 cm2 and 30 cm2 respectively. Water is drained out of the container at a rate of 130 mℓ per minute. Find the height of the water level after 13 minutes.
Level 3
The figure, not drawn to scale, shows an empty tank measuring 20 cm by 15 cm by 15 cm. Water flows from Tap A at a rate of 300 mℓ per minute and from Tap B at a rate of 180 mℓ per minute. Tower X and Tower Y have a base area of 20 cm2 and 30 cm2 respectively. Water is drained out of the container at a rate of 130 mℓ per minute. Find the height of the water level after 13 minutes.
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.
Level 3
There are a total of 260 pieces of 10-cent coins, 20-cent coins and 50-cent coins in Joey's piggy bank. 25 of these coins are 10-cent coins. The number of 50-cent coins is thrice the number of 20-cent coins.
How many 50-cent coins are there?
What is the total value of the 50-cent coins in Joey's piggy bank?
Level 3
The figure shows 2 tanks, Tank X and Tank Y. Tank X is completely empty while Tank Y is filled with water to the brim. Water from Tap A flows in at a rate of 1.2 litres per minute while water drains from Tap B at a rate of 0.72 litres per minute. Both taps are turned on at the same time. After some time, the heights of the water level in both tanks became the same.
Find the time taken for the heights of the water level to be the same in both tanks.
Find the height of the water level at that point of time.
Level 3
The figure shows 2 tanks, Tank X and Tank Y. Tank X is completely empty while Tank Y is filled with water to the brim. Water from Tap A flows in at a rate of 1.2 litres per minute while water drains from Tap B at a rate of 0.72 litres per minute. Both taps are turned on at the same time. After some time, the heights of the water level in both tanks became the same.
Find the time taken for the heights of the water level to be the same in both tanks.
Find the height of the water level at that point of time.
Level 3 Caden bought 4 staplers and 3 notebooks for $42. One stapler cost 8 times as much as one notebook. Find the total cost of 2 staplers and 8 notebooks.
Level 3
A tank containing some water and 7 identical stones has a mass of 1 kg 235 g. When the 7 stones were taken out, the mass of the tank of water became 759 g. Find the mass of each stone.
(Give the answer in grams.)
Level 3
Andy and Luke took part in a 24-km marathon. Andy ran half the distance at a speed of 10 km/h and jogged the rest of the way at a speed of 8 km/h. Luke ran half his total time at 12 km/h and jogged the rest of the time at 6 km/h. If they started the marathon at 7.30 a.m., at what time would each of them finish?
Level 3
Jareth wants to make butter cookies using the recipe. To make 20 cookies, you need 125 g of butter, 200 g of flour and 50 g of sugar. He has 500 g of butter, 250 g of sugar and 1 kg of flour. What is the greatest number of cookies he can make?
Level 3
Rachel cuts a piece of string into two pieces. The first piece is 4 m 24 cm long and the second piece is 4 m 3 cm long. What is the difference in the lengths of the two pieces of string? Give the answer in cm.
Level 3
A bookcase has 5 shelves. The first three shelves are 460 cm long each. The next two shelves have a total length of 2 m 45 cm. Find the total length of the 5 shelves. (Give the answer in metres and centimetres.)
Level 3
During a triathlon practice, John swam 1300 m, cycled 30 km 50 m and ran 5 km 20 m. What was the total distance he covered during the triathlon practice? Give the answer in km and m.
Level 3
Mrs Lee has a piece of lace that measures 5 m 40 cm. She uses 224 cm to decorate a curtain and another 110 cm to decorate another curtain. How much of the lace has she left? Give the answer in cm and m.
