Level 3
Rachel had 2060 mℓ more orange juice than Yvonne. After Rachel gave Yvonne 550 mℓ of orange juice, the ratio of Rachel's orange juice to Yvonne's orange juice became 5 : 2. How much orange juice did Rachel have at first? Give your answer in millilitres.
Level 3
There were some packets and bottles. A packet weighed 3 kg and a bottle weighed 2 kg more. The total weight of the packets was 35 kg heavier than the total weight of the bottles. The number of packets and bottles were in the ratio 5 : 2. What was the total weight of the packets and the bottles?
Level 3
The number of boys to the number of girls in Primary 4 Kindness was 4 : 7. The number of boys to the number of girls in Primary 4 Joy was 4 : 7. Both classes had the same number of boys. When 18 girls from Primary 4 Kindness joined Primary 4 Joy, the ratio of the number of boys to the number of girls in Primary 4 Kindness became 2 : 3. Find the total enrolment of both classes.
Level 3
During one test, points were awarded for questions answered as shown.
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 8 : 4 : 2. If Tiffany was awarded 300 points, how many questions are there in all?
Level 3
During one test, points were awarded for questions answered as shown.
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 8 : 4 : 2. If Tiffany was awarded 300 points, how many questions are there in all?
Tim has 42 marbles more than Ethan. In the end, Tim gives away all he has to Ethan and David so that both Ethan and David end up with the same number of marbles, how many marbles has Ethan received from Tim?
Level 3
In a bakery, the prices of pastries are listed as follow:
The ratio of the number of scones sold to the number of puffs sold was 4 : 3. The ratio of the number of muffins sold to the number of puffs sold was 8 : 7. The bakery collected $80 more on the sales of muffins than the sales of scones.
How many scones were sold?
How much did the bakery collect from the sales of the pastries?
Level 3
In a bakery, the prices of pastries are listed as follow:
The ratio of the number of scones sold to the number of puffs sold was 4 : 3. The ratio of the number of muffins sold to the number of puffs sold was 8 : 7. The bakery collected $80 more on the sales of muffins than the sales of scones.
How many scones were sold?
How much did the bakery collect from the sales of the pastries?
Level 3
There were 182 red, blue and green marbles in a box. 26 green marbles were removed from the box and the ratio of the number of red marbles to the number of blue marbles to the number of green marbles became 4 : 3 : 5. Then some yellow marbles were added and the ratio of the number of green marbles to the number of yellow marbles was 13 : 9.
What was the ratio of the number of red marbles to the number of blue marbles to the number of green marbles at first?
Level 3
Janet had some pencils, erasers and rulers. The ratio of the number of pencils to the number of erasers was 5 : 1. After giving away 16 erasers, the ratio of the number of rulers to the number of erasers was 4 : 1. Janet bought another 184 rulers. As a result, there were an equal number of pencils and rulers. How many erasers did she have at first?
Level 3
The ratio of the number of scones to the number of muffins in a bakery was 2 : 3. After 4 scones and 8 muffins were packed into each box, there were a total of 7 scones and 1 muffin left. Find the total number of scones and muffins in the bakery at first.
Level 3
Howard and Sam had some money at first. Howard received 4 times as much money as Sam every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If Sam had $1500 at first and Howard had $1900 at the end of those 2 fortnights, what was the ratio of Howard's money to the total amount of money at first?
