Level 3
A sum of $728 is divided among a group of people. 78 of the people receive $4 each, 13 of the remainder receive $3 each and the rest receive $2 each. How many people are there altogether?
4 m
Level 3
Andrew, Bryan and Charlie had the same number of marbles. Charlie gave 0.5 of his marbles to Bryan. Then Bryan gave 0.25 of his marbles to Andrew. Finally, after Bryan gave 30 marbles to Charlie, he had the same number of marbles as Charlie. How many marbles did Charlie have at first?
5 m
Level 3
Tickets for a drama performance were sold to senior citizens, adults and children at different prices as shown.
14 of the tickets sold were bought by senior citizens and 13 of them were bought by adults. The rest were bought by children.
  1. What fraction of the tickets sold that were bought by children?
  2. A total amount of $2240 was collected from the sale of the tickets. How many children bought the tickets?
4 m
Level 3 PSLE
At John's fruit stall, 34 of the apples were red and the rest were green. He sold 12 of the total number of apples. 56 of the apples sold were red. 10 green apples were left. How many red apples did John sell?
4 m
Level 3
Wendy had a total of 406 violet and pink beads. She used 35 of her violet beads and bought another 38 pink beads. The number of pink beads she had then became 13 the number of violet beads. How many less pink beads than violet beads did she have at first?
4 m
Level 3
Brandon bought 54 more erasers than Liam and Liam bought 15 erasers more than Raeann. The total number of erasers Brandon and Liam bought was 4 times the number of erasers Raeann bought.
  1. How many erasers does Brandon need to give Liam so that they have the same number of erasers?
  2. How many erasers did all three of them have altogether?
4 m
Level 3
Ethan had a total of 350 apples and lemons. He sold 13 of the lemons and bought another 14 apples. In the end, the number of apples he had was 14 the number of lemons. How many more lemons than apples did he have at first?
4 m
Level 3
Jaslyn had some $10 notes and some $5 notes. 47 of the notes were $10 notes and the rest were $5 notes. After Jaslyn had spent $450 worth of $5 notes and 14 of $10 notes, she had 34 of the notes left. Find the number of $5-notes Jaslyn had left.
4 m
Level 3
Oscar had some apricot shortbreads and apple shortbreads. 49 of the number of apricot shortbreads was equal to 18 of the number of apple shortbreads. After Oscar made 279 more apricot shortbreads, the number of apricot shortbreads was 54 of the number of apple shortbreads. How many shortbreads did he have altogether in the end?
4 m
Level 3 PSLE
Sandra made some biscuits to sell. 34 of them were chocolate biscuits and the rest were almond biscuits. After selling 210 almond biscuits and 56 of the chocolate biscuits, she had 15 of the biscuits left. How many biscuits did Sandra sell?
4 m
Level 3
Ryan had $200 more than Riordan at first. Ryan gave $70 to Riordan. As a result, Riordan has 56 as much money as Ryan. How much money had each of them at first?
  1. Ryan
  2. Riordan
4 m
Level 3
There are three times as many chickens as sheep in a farm. There are 390 legs altogether. Given that a chicken has 2 legs and a sheep has 4 legs, how many chickens are there?
4 m
Level 3
Xavier invited 12 more boys than girls to his birthday party. 23 of the boys and 57 of the girls turned up at the party. A total of 30 children who were invited did not turn up. How many children did he invite?
4 m
Level 3
Yesterday, Ivan had 56 more marbles than Daniel. Today, Ivan gave Daniel 58 of his marbles. As a result, he has half as many marbles as Daniel now. How many marbles did Ivan have yesterday?
4 m
Level 3
Xavier had 66 marbles. He packed them into packets of 4 or 6. There were 4 more packets of 4 than packets of 6. How many packets of marbles were there in the end?
4 m
Level
There are some trucks and motorbikes. There are 9 more motorbikes than trucks. The total number of truck wheels is 20 more than the total number of motorbike wheels.
  1. How many motorbikes are there?
  2. How many more trucks are needed in order to get a total of 172 wheels?
4 m
Level 3
A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: canoeing, rugby or fencing. 57 of them voted for either canoeing or rugby. 25 of them for either rugby or fencing. 48 of them voted for rugby. How many students took part in the survey?
4 m
Level 3
There are 2 groups of workers in a factory. There are 5 more workers in the first group than the second group. Each worker in the first group makes 4 toys in a minute but each worker in the second group makes only 3 toys in a minute. Both groups make a total of 4140 toys in an hour.
  1. How many workers are there in the first group?
  2. How many workers are there in the second group?
4 m
Level 3
Daniel's age is 19 of his uncle's. His uncle will be 41 years old in 5 years' time. In how many years' time will Daniel's age be 37 of his uncle's?
4 m
Level 3
Mr Poh is 30 years older than his son. 5 years from now, his son will be 13 of his age while his daughter will be 35 of his son's age. Express his daughter's present age as a fraction of Mr Poh's present age. Leave your answer in its simplest form.
4 m