Level 3
Linda and Melody's total mass is 51 kg. Melody and Nicole's total mass is 81 kg. Nicole is three times as heavy as Linda. What is the average mass of the three friends?

Level 3
Lisa had 740 more candies than Anna. Lisa used ⁵₆ of her candies and Anna used ¹₂ of her candies. In the end, Lisa had 2 times as much as Anna. Find the number of candies Anna had at first.

Level 3
There were some cars, vans and buses. ²₃ of the total vehicles were cars and vans. There were 16 buses and thrice as many cars as vans. How many more cars than vans were there?

Level 3
Bryan's money was 3³₅ times his sister's money. After his mother gave him $44 and his sister $122, Bryan then had twice as much money as his sister. How much money did Bryan have at first?

Level 3
A fruit seller sells only soursops and avocados. The ratio of soursops to avocados is 5 : 4. A total of 68 fruits are added. The number of soursops becomes 2 times as many as before and the number of avocados becomes 4 times as many as before. How many fruits are there in the end?

Level 3
Jill spent ⁹₁₀ of her money on 20 muffins and 5 croissants. If each muffin costs twice as much as a croissant, how many croissants could Jill buy with the rest of her money?

Level 3
The number of banana puffs Caden baked was ⁴₇ of the total number of puffs. After baking another 98 banana puffs, the number of banana puffs became ⁶₇ of the total number of puffs. How many puffs did she bake at first?

Level 3
Yvonne and Anna have some pens. If Yvonne gives 45 pens to Anna, Anna will have 4 times the number of pens as Yvonne. If Anna gives 104 pens to Yvonne, Yvonne will have ¹₃ as many pens as Anna. How many pens does Yvonne have at first?

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.

Level 3
There were pink, yellow and blue stamps in a container. Sean put another 6 pink stamps and 10 blue stamps in the container, then the ratio of the number of yellow stamps to the number of blue stamps became 5 : 3. Then, he doubled the number of pink stamps and removed 28 blue stamps. The ratio of the number of pink stamps to yellow stamps became 2 : 1. He counted and found that there were a total of 62 stamps left in the container. Find the number of pink stamps that he had at the beginning.

Level 3
There were some grapefruits and durians in Container A and Container B. In Container A, the ratio of the grapefruits to the number of durians was 3 : 1. In Container B, the ratio of the number of grapefruits to the number of durians was 3 : 2. There were 2 times as many fruits in Container A as in Container B. After 56 durians were put into Container B, the ratio of the number of grapefruits to the number of durians in Container B became 1 : 2. How many fruits were there in Container A?

Level 3
A burger cost three times as much as a sandwich at a cafe. Mr Lim spent ¹₄ of his money on some sandwiches and half of the remaining sum on 2 burgers. He had $30 left.

1. What was the cost of 1 sandwich?
2. Mr Lim bought 5 burgers and 6 sandwiches. How much did he spend altogether?

Level 3
Tom is thinking of a Y-digit number.

1. It has '1' as one of the digits.
2. The digit '2' is in its hundreds place.
3. The value of the digit '5' is 50.
4. The digit in the thousands place is twice the digit in the hundreds place.
5. The digit in the thousands place is 2 times the digit in the ones place.

What number is he thinking of?

Level 3 PSLE
A crate filled with 35 mangosteens has a mass of 16.4 kg. The same crate when filled with 15 durians has a mass of 3.64 kg. The mass of 1 mangosteen is twice the mass of 1 durian. Find the mass of the crate when it is empty. Express the answer in g.

Level 3
A briefcase with 5 magazines in it has a mass of 2.58 kg. When 6 more magazines and 22 guide books are added, the mass becomes 4.28 kg. Each magazine has a mass 2 times as much as each guide book. Find the mass of the briefcase when it is empty. Express the answer in kg.

Level 3
Evelyn bought 50% more hair clips than Linda. Tammy bought 10% fewer hair clips than Evelyn. Evelyn and Linda gave Tammy some hair clips in the ratio 7 : 2. As a result, Tammy had twice as much hair clips as before. Given that Linda had 15 more hair clips than Evelyn in the end, how much hair clips did Evelyn give to Tammy?

Level 3
Mrs Lu had a total of 520 purple and yellow lilies in the ratio of 8 : 5. After she had given away 6 times as many purple lilies as yellow lilies, the number of purple and yellow lilies left was in the ratio of 10 : 9. How many more purple lilies than yellow lilies did she give away?

Level 3
A pen cost $1.50. A notebook cost $15.50 more than the pen. Clare spent $340 on such pens and notebooks. She bought twice as many pens as notebooks.

1. How many notebooks did Clare buy?
2. How much money did Clare spend on the pens?