Level 3
Hannah bought 2014 m of cloth. She used 34 m to make a cushion cover. She used 13 of the remaining cloth to make curtains. How much more cloth did she use to make the curtains than the cushion cover?
4 m
Level 3
Kimberly bought 16 15 m of cloth. She used 25 m to make a cushion cover. She used 12 of the remaining cloth to make curtains. How much more cloth did she use to make the curtains than the cushion cover?
3 m
Level 3
Mr Tan wants to put all 27 boys and 72 girls into groups for an activity. There are more girls than boys in each group. Each group must have the same number of boys. Each group must also have the same number of girls.
  1. What is the greatest number of groups Mr Tan can form with these conditions?
  2. How many children are in each group?
4 m
Level 3
The number of silver crayons is twice the number of blue crayons. The number of blue crayons is 14 more than the number of gold crayons. The total number of crayons is 138. The cost of each silver crayon is $3.80 and the cost of each gold crayon is $1.50. The total cost of all the crayons is $374.20.
  1. Find the number of gold crayons.
  2. Find the cost of a blue crayon.
5 m
Level 3
A rectangular tank measuring 60 cm by 50 cm by 40 cm was filled with water to a height of 28 cm at first. After 8 completely filled identical jugs of water were poured into the tank, the new water level in the tank became 32 cm.
  1. Find the volume of water in each jug in cubic centimetres.
  2. How much more water would be needed to fill the tank completely? (Give your answer in litres.)
5 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
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
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 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
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
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
Mr Lee organised a lucky draw event. He spent $382.20 on some toys and pouches. He bought 6 more pouches than toys. A toy costs $14.70 and a pouch costs $4.90. How many pouch did Mr Lee buy?
5 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
Chris runs 100 metres for 5 times. The average time taken for his first three runs is 14.5 seconds. He aims to have an average timing of 12.8 seconds for his five runs.
  1. What is the average time he needs to take for his 4th and 5th run in order to achieve his aim?
  2. If he runs 3 seconds faster in one of the five runs, what would be his average time for the five runs?
5 m
Level 3
At first, there were 410 more men than women at an exhibition. At lunch time, a total of 250 men and women left the exhibition. There were as many men as women who left the exhibition. In the end, there were 3 times as many men as women who remained behind. How many men were at the exhibition at first?
4 m
Level 3
In a class of 21, a bag of lollipops were shared equally. 14 of the students gave up their share to be shared equally amongst the rest. As a result, the remaining students received extra 4 lollipops each. How many lollipops were there in the bag at first?
4 m
Level 3
Andrew had a number of oranges. He could pack all his oranges equally into 25 boxes. If he packed 3 fewer oranges in each box, he would be able to pack all his oranges equally into 30 boxes. How many oranges did Andrew have altogether?
4 m
Level 3
Nick, Warren and Paul bought some biscuits. After Nick ate 25 of his biscuits, Warren ate 34 of his biscuits and Paul ate 12 biscuits, each of them had the same number of biscuits left. Nick had 63 less biscuits than Warren at first.
  1. How many biscuits did Nick have at first?
  2. How many biscuits did the 3 of them buy altogether?
4 m
Level 3
In a seminar room, chairs were arranged in rows of 12. During a workshop, 32 chairs were added to accommodate the number of people. The chairs were rearranged to form rows of 11. As a result, there were 7 more rows.
  1. How many chairs were there in the extra 7 rows?
  2. How many chairs were there in the seminar rom in the end?
4 m