Level 3
Last Saturday, Jack withdrew an equal number of $10-notes and $50-notes from the bank. After spending 58 pieces of $10-notes and 10 pieces of $50-notes, the ratio of the remaining $10-notes to $50-notes became 2 : 5.
  1. How many $10-notes had he left?
  2. What was the total value of the notes which Jack withdrew from the bank?
4 m
Level 3
There were 360 males and 400 females queueing up for a fan meeting. The ratio of the number of males to the number of females who left the queue was in the ratio 1 : 2. As a result, the ratio of the number of females became four times as many as the number of males who remained in the queue. How many people left the queue?
4 m
Level 3
Hannah went shopping with 4 times the amount that Kelly brought. The ratio of the amount of money Kelly spent to the amount of money Hannah spent was 2 : 3. In the end, Kelly and Hannah had $12 and $108 respectively. How much did Kelly spend?
4 m
Level 3
Adam and Bryan have a total of $220.
Adam spends 13 of his money and
Bryan spends $30 of his money.
The ratio of Adam's money to Bryan's money becomes 5 : 2.
  1. How much does Bryan have at first?
  2. How much does Adam have in the end?
3 m
Level 3
There was an equal number of tables and chairs in the morning. At noon, some tables were added and some chairs were removed, resulting in the number of tables being increased by 20% while the number of chairs decreased by 30%. At 7 p.m. the number of tables increased by 50%. If a total of 32 tables were added during the day, how many more tables than chairs were there in the end?
4 m
Level 3
Mrs. Ben made 248 more white chocolate cookies than dark chocolate cookies. After she gave away 57 of the white chocolate cookies and 13 of the dark chocolate cookies, there were an equal number of white chocolate cookies and dark chocolate cookies left. How many white chocolate cookies did she give away?
3 m
Level 3
Ming Huat had 255 watermelons and 240 oranges at first. He used 35 of the watermelons and 34 of the oranges. He then bought some more oranges. In the end, 18 of the fruits he had left were watermelons. How many oranges did he buy?
3 m
Level 3
A shop had 30 violins and some guitars. During a sale. 13 of the violins and 15 of the guitars were sold. 64 guitars were left unsold.
  1. How many violins were sold?
  2. How many violins and guitars were sold altogether?
3 m
Level 3
Andy, Benjamin and Caleb had a total of 698 cards at first. After a week, the number of Andy's cards became 3 times the number of cards he had at first. The number of Benjamin's cards decreased by 138. Caleb had half as many cards as he had at first. In the end, the three boys had the same number of cards.
  1. How many cards did Caleb have at first?
  2. What was the total number of cards that the three boys had in the end?
5 m
Level 3
Madam Naz made pies for sale. 45% of the pies were chicken pies and the rest were potato and sardine pies in the ratio 3 : 1. If a customer bought 75% of the chicken pies and all of the sardine pies, what percentage of the potato pies must Madam Naz sell for her to maintain the original percentage of chicken pies at first? Leave your answer in mixed numbers.
5 m
Level 3
Tim's and Natalie's monthly allowances were the same at first. Tim's allowance increased by 50% while Natalie's increased by 20%. Given that Tim's allowance would increase by another 20% if he had received $300 more from his father, find the difference in the children's monthly allowances.
5 m
Level 3
Rachel had 3 times as much money as Paul. After Rachel spent 12 of her money and Paul spent 35 of his money, they had a total of $1615 left.
  1. How much money did Rachel and Paul have altogether at first?
  2. Paul spent 35 of his remaining money on a pair of headphones. What fraction of his original amount of money did he spend on the pair of headphones?
5 m
Level 3
Leonard had $80 more than his sister. After Leonard spent 25% of his money and his sister spent 75% of her money, they still had $420 left altogether.
  1. How much did Leonard have left in the end?
  2. Express the amount of money his sister had left as a fraction of the amount of money Leonard had in the end. (Give your answer in the simplest form)
5 m
Level 3
Abigail and Charlie received $656 in total from their father. After Abigail spent 25 of her money and Charlie deposited 511 of his money into his savings account, Abigail had thrice as much money as Charlie.
  1. Find the amount of money Abigail received from her father.
  2. If Charlie' savings increased by 25% after the deposit, how much was Charlie' savings in the bank in the end?
5 m
Level 3
A shop owner had three boxes, containing a total of 1500 plastic cups. The number of plastic cups in Box A to the total number of plastic cups was 3 : 10. He sold 330 plastic cups from Box B and sold 13 of the plastic cups in Box C. The number of plastic cups left in Box B to the number of plastic cups left in Box C was 3 : 1. How many plastic cups were there in Box B at first?
5 m
Level 3
25 of the crayons in a bag were red and the rest were blue and yellow. 20% of the blue crayons and 12% of the yellow crayons were thrown away. There was an equal number of blue and yellow crayons left. If there were 352 blue and yellow crayons left,
  1. what was the number of red crayons?
  2. what was the total number of crayons in the bag at first?
5 m
Level 3
The ratio of Yvette's money to Linda's money was 1 : 3. After Yvette spent thrice as much as Linda, Yvette and Linda had $6 and $42 left respectively. Find the amount of money each of the girls have at first.
  1. Yvette
  2. Linda
5 m
Level 3
Faith baked a total of 350 muffins and puffs. After giving away 80% of the puffs and 75% of the muffins, she was left with twice as many puffs as muffins. Find the number of puffs Faith gave away.
4 m
Level 3
There are 200 more teachers in School X than in School Y. After 25% of the teachers left School X and 50% of teachers left School Y, the number of teachers who remained in School X is thrice that of the number of teachers in School Y. Find the number of teachers in School X at first.
4 m
Level 3
There are 25% more red crayons than blue crayons in a bag. After John removed 40% of the red crayons and increased the number of blue crayons by 10%, there are now 70 fewer red crayons than blue crayons. Find the number of blue crayons at first.
4 m