Level 3
Daniel had to solve some Science questions during a 3-week school holidays. At the end of the first week, the ratio of the number of questions solved to the number of questions unsolved was 3 : 7. At the end of the second week, Daniel solved another 36 questions and the number of unsolved questions became ¹₄ of the total number of questions. How many questions did Daniel need to solve on the third week to complete his assignment?

Level 3
Janet wanted to finish reading a 231-page book by the end of the week. On Monday she read ³₇ of the book and by Friday the ratio of the number of pages read to the total number of pages was 9 : 11. Find the number of pages Janet would need to read during the weekend in order for her to complete the entire book.

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
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
David, Ethan and Tim have some marbles. The ratios of their marbles are as follows:

David : (David + Ethan + Tim) = 1 : 5
Ethan : (David + Tim) = 1 : 3

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
Jeanne's school organized a trip to Japan. At first, the ratio of the number of boys to the number of girls who planned to participate in the trip was 7 : 5. On the day of registration, 52 girls decided to withdraw and 52 more boys decided to join in. In the end, the number of girls who participated became 20% of the total participants for the trip. How many more boys than girls would visit Japan in the end?

Level 3
Molly, Nellie and Olivia had a sum of money. The amount of money Molly had was ⁴₅ of the amount of money Nellie had. The ratio of the amount of money Nellie had to the total amount of money Olivia and Nellie had was 3: 8. After Olivia gave $15 to Nellie, she had as much money as Nellie. How much more money did Olivia have than Molly in the end?

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.

1. What was the ratio of the number of red marbles to the number of blue marbles to the number of green marbles at first?
2. How many marbles were in the box in the end?

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
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
Titus bought some custard and apple pastry puffs in the ratio of 7 : 6. After Titus's classmates ate an equal number of the two types of pastry puffs, there were 35% fewer apple than custard pastry puffs. In the end, there were 165 pastry puffs left. How many pastry puffs of each type were eaten?

Level 3
Betty had an equal number of $2 and $10 notes. After spending 43 pieces of $10 and 19 pieces of $2 notes, the ratio of the $2 notes to $10 notes left was 5 : 1. Find the value of the notes left.

Level 3
Fiona had an equal number of $5 and $10 notes. After spending 40 pieces of $10 and 16 pieces of $5 notes, the ratio of the $5 notes to $10 notes left was 4 : 1. Find the value of the notes at first.

Level 3
At first, Xandy, Yoko and Zach had some sweets in the ratio 5 : 3 : 4 respectively. Xandy had 190 sweets. Then he gave all his sweets to Yoko and Zach. After receiving the sweets from Xandy, Yoko and Zach had the same number of sweets. How many sweets did Yoko receive from Xandy?

Level 3
Container A and Container B had some liquid in the ratio 7 : 5. After 48 litres of liquid was transferred from A to B, the amount of liquid in Container B became 3 times as much as in Container A. How much liquid were there in the two tanks in all?

Level 3
Amanda and Joe have some books in the ratio 3 : 7. Amanda has 72 less books than Joe. How many books must Joe give to Amanda so that they will have the same number of books?

Level 3
Emma and Peter had a total of $47. After Emma spent ³₇ of her money and Peter spent $2, the ratio of Emma's money to Kenneth's money became 1 : 2. How much money had Peter at first?

Level 3 PSLE
Allie had a total of 225 pink and blue beads. She used 45 pink beads and 60% of the blue beads. After that, the ratio of the number of pink beads to blue beads Allie had was 1 : 2.

1. What fraction of her blue beads did Allie use? Give your answer in the simplest form.
2. How many beads did Allie have in the end?