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.
4 m
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.
4 m
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.
4 m
Level 3
Yvonne will be 36 years old in 3 years' time. Now, Tina's age is 23 of Yvonne's age. What was Tina's age when she was 4 years less than 80% of Yvonne's age?
4 m
Level 3
In October, the ratio of boys and girls in a school's rifle club was 4 : 7. In November, 68 new members joined the club. As a result, the ratio of boys to girls in the club became 4 : 3. There were 64 boys in the club in October. How many of the new members were girls?
4 m
Level 3
At first, Tina had 23 as many stickers as Esther. After Tina bought another 8 stickers and Esther lost 5 stickers, Tina had 45 as many stickers as Esther. Find the number of stickers Tina had at first.
3 m
Level 3 PSLE
There were 95 oranges and apples altogether. After 23 of the oranges and half of the apples were sold, there were a total of 40 oranges and apples left. What fraction of the fruits were oranges at first? Give the answer in its simplest form.
3 m
Level 3 PSLE
Ann had some identitical cuboids with square base and height, h. She then stacked the cuboid to form the 2 towers. The figure shows the front view and the side views of the 2 towers.
  1. Find h.
  2. Find the volume of the cuboid.
4 m
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?
4 m
Level 3 PSLE
Ruth bought some lollipops and gave half of it to Asher. Asher bought some sweets and gave half of it to Ruth. Ruth ate 17 sweets and Asher ate 31 lollipops. The ratio of Ruth's sweets to lollipops became 1 : 5 and the ratio of Asher's sweets to lollipops became 1 : 3. How many sweets did Asher buy?
4 m