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 3
Given that BC is longer than ED by 10 cm and CD = 42 cm. BC is 25 of AB and the total area of Triangle AHF and Triangle CHD is 1323 cm2. Find the area of the unshaded triangles.
4 m
Level 3
The table shows the rates charged for the use of water in a country.
  1. Mr Ong and his family used 30 units of water in May. How much did they pay for the usage of water in May?
  2. Mrs Syariah and her family paid $162.70 for the usage of water in June. How many units of water did they use in June?
5 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
Level 3
Gabby had five times as many pencils as staplers. After giving away 20 pencils and selling 47 pencils, she found out that she had four times as many pencils as staplers left.
  1. How many pencils did Gabby have at first?
  2. How many pencils and staplers did Gabby have altogether at first?
4 m
Level 3
The average weekly number of soft toys produced by Factory X and Y is 3486. The average weekly number of soft toys produced by Factory X and Z is 6586. If Factory Y produced 27 as many soft toys as Factory Z each week, how many soft toys does Factory X produce weekly?
5 m