Level 3
There are 20% as many green beads as red beads in May's collection of beads. The number of purple beads is 30% fewer than the number of red beads. There are 330 more purple beads than green beads.

1. Find the total number of beads in the collection.
2. What percentage are the number of red beads as compared to the number of purple beads? Leave your answer as a mixed number in its simplest form.

Level 3
Two identical pails C and D contained some water. Pail C was ¹₄ filled and Pail D was 1/5 filled. The ratio of the total mass of Pail C and the water in it to the total mass of Pail D and the water in it was 8 : 7. The total mass of the two pails and the water they contained was 3150 g. What is the mass of an empty pail?

Level 3
Abby, Becca, Clara and Demi jointly contributed to the cost of a present for their friend. Abby's contribution is ²₅ of the total contribution made by the four girls. The ratio of Demi's contribution to the total of Becca's and Clara's contribution is 4 : 1. What is the total contribution by the four girls if Becca's contribution is ¹₅ of Clara's contribution and the total amount contributed by Abby and Demi is $132?

Level 3
Tabitha purchased a bottle of rose syrup to make drinks. She used ³₇ of the liquid in January. She then used the remaining syrup in February and March in the ratio 3 : 7. Given that the amount of the rose syrup used in January was 0.18 ℓ more than that used on the February, how many millilitres of rose syrup did the bottle contain at first?

Level 3
In a container, there are candies of 3 colours, yellow, white and purple. There are 108 more white candies than purple candies. The number of purple candies is ¹₂ more than the yellow candies. Given that the number of purple candies is 24% of the total number of candies in the container, how many more white candies are there than yellow candies?

Level 3
There were some red, blue and green pens in a box. ¹₉ of the pens were blue. The ratio of the number of red pens to the number of green pens was 3 : 5. There were 288 fewer blue pens than green pens.

1. Find the ratio of the number of red pens to the number of blue pens to the number of green pens in the box.
2. How many green pens were there?

Level 3
During a survey, some people responded that they preferred badminton to other sports. The ratio of the number of women to the number of men who liked badminton was 3 : 1. The ratio of the number of people who liked badminton to those who disliked it was 3 : 1. If 20% of the people who did not like badminton were women, what was the ratio of the number of men to the number of women chosen for the survey?

Level 3
The ratio of saloon cars to the total number of cars on display in Ken's car shop was 2 : 7. ²₅ of the remaining bikes on display were family cars and the rest were electric cars and sports cars in the ratio of 10 : 3. If there were 16 more electric cars than saloon cars, how many sports cars were there?

Level 3
In a school, 0.8 of the girls and 0.3 of the boys take part in CCAs. There is an equal number of boys and girls who do not take part in CCAs. If 378 pupils do not take part in CCAs, how many more pupils take part in CCAs than those who do not take part in CCAs?

Level 3
The mass of 4 children, Mandy, Nellie, Peter and Richie were taken. Only 3 children can be weighed at one time. Mandy, Nellie and Peter weighed a total of 55 kg. Nellie, Peter and Richie weighed a total of 56 kg. Mandy, Peter and Richie weighed a total of 57 kg. Mandy, Nellie, and Richie weighed a total of 60 kg. What is the average mass of the 4 children?

Level 3
In the stationery shop, ¹₄ of the books sold were Math books. ¹₃ of the remaining books sold were English books. The ratio of the number of English books sold to the number of Chinese books was 7 : 6. The number of Science books sold was 56. How many books were sold altogether?

Level 3
There are some pupils in the zoo. ²₅ of them are girls, of whom 20% of them do not wear caps. ²₃ of the boys do not wear caps. What is the percentage of the pupils in the zoo who wear caps?

Level 3
At a school sports festival, ¹₃ of the participants were P5 and P6 students. ²₅ of the remaining participants were P3 and P4 students. The rest were P1 and P2 students in the ratio of 3 : 7 respectively. There were 208 fewer P1 students than the total number of P5 and P6 students. How many students were there at the school sports festival?

Level 3
Three women, Mrs Zhang, Mrs Lin and Mrs Yap went on a shopping spree. 30% of Mrs Zhang's spending is equal to ¹₅ of Mrs Lin's spending. Mrs Yap's spending is 40% more than Mrs Lin's. If Mrs Lin spends another $804, she will spend the same amount of money as Mrs Yap.

1. Find the ratio of Mrs Zhang's spending to Mrs Lin's to Mrs Yap's.
2. How much did Mrs Zhang spend?

Level 3
A crate contains some kiwis, apples and watermelons. 0.4 of the apples is equal to 80% of the kiwis. The number of watermelons is ¹₂ of the total number of kiwis and apples. If there are 44 more watermelons than kiwis, how many fruits are there in the crate altogether?

Level 3
28 kg of potatoes are sorted into 3 sizes; large, medium and small. The ratio by mass of the large to medium to small potatoes is 10 : 3 : 1. There are ⁴₅ as many large potatoes as medium potatoes. There are ³₄ as many small potatoes as large potatoes. There are 10 large potatoes per kilogram. Find the total number of small and medium potatoes.

Level 3
At a school carnival, each boy received 3 packets of sweets and each girl received 4 packets of sweets. Each accompanying adult received 2 packets of sweets. ²₇ of the people at the school carnival were adults. The ratio of the number of boys to the number of girls at the carnival was 5 : 8. Given that only 6601 packets of sweets were given away, how many people were there at the carnival?