Level 3 PSLE
ABCD is a square. The shaded parts X and Y are two squares with different areas. All the corners of squares X and Y lie either on the sides of square ABCD or on the line AC. If the area of the square is 360 cm2. Find the shaded area.
3 m
Level 3 PSLE
At first, Jack had some money. He spent 14 of it on a T-shirt and 25 of the remainder on a pair of shoes. After that, his parents gave him $240. The ratio of the total amount of money he had at the end to the amount of money he had at first was 5 : 4. How much money did Jack have at first?
4 m
Level 3
Three women, Mrs Zhang, Mrs Lin and Mrs Yap went on a shopping spree. 30% of Mrs Zhang's spending is equal to 15 of Mrs Lin's spending. Mrs Yap's spending is 40% more than Mrs Lin's. If Mrs Lin spends another $804, she will spend the same amount of money as Mrs Yap.
  1. Find the ratio of Mrs Zhang's spending to Mrs Lin's to Mrs Yap's.
  2. How much did Mrs Zhang spend?
4 m
Level 3
A crate contains some kiwis, apples and watermelons. 0.4 of the apples is equal to 80% of the kiwis. The number of watermelons is 12 of the total number of kiwis and apples. If there are 44 more watermelons than kiwis, how many fruits are there in the crate altogether?
4 m
Level 3
The total monthly incomes of 24 men is $51000. 58 of them earn the same monthly income each. Each of the remaining men earns 4 times as much monthly. Find the difference between the higher income and the lower income per month.
4 m
Level 3
28 kg of potatoes are sorted into 3 sizes; large, medium and small. The ratio by mass of the large to medium to small potatoes is 10 : 3 : 1. There are 45 as many large potatoes as medium potatoes. There are 34 as many small potatoes as large potatoes. There are 10 large potatoes per kilogram. Find the total number of small and medium potatoes.
4 m
Level 3
At a gathering, 13 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 5 : 7. Each boy is given 2 keychains and each girl is given 5 keychains. Each accompanying adult receives 6 keychains. Given that only 368 keychains are given away to boys and adults, how many more children are there than adults?
4 m
Level 3
The length of Bamboo Pole G is 14 of the length of Bamboo Pole H and the length of Bamboo Pole H is 13 of the length of Bamboo Pole I and 110 of the length of Bamboo Pole J. What fraction of the total length of the 4 planks is Bamboo Pole I?
3 m
Level 3 PSLE
At a swimathon, each swimmer completed either a 2-km route, a 4-km route or an 5-km route. 15 of the swimmers completed the 2-km route, 720 of the participants completed the 4-km route and the rest completed the 5-km route. For every 1 km a participant swam, $8 was donated to charity. A total of $12960 was donated to charity.
  1. What is the ratio of the number of swimmers who completed the 2-km route to the number who completed the 4-km route to the number who completed the 5-km route?
  2. What is the total number of swimmers at the swimathon?
4 m
Level 3
Two hours ago, a stallholder started his day with some durians and apples in the ratio of 5 : 2. There were 100 apples. Some of the durians were bought by Mrs Olivia. As a result, the number of durians became 35 of the apples.
  1. How many durians did the stallholder have left?
  2. How many durians must the stallholder buy in order to have an equal number of durians and apples?
4 m
Level 3 PSLE
Three girls used the same number of pearls to make necklaces. Dana used 25 of her pearls, Esther used 34 of hers and Fina used 23 of hers. They had a total of 1440 pearls at first. How many pearls did each girl use?
3 m
Level 3 PSLE
Ian had a total of 810 long and short rulers. After selling an equal number of both types, he had 13 of the long rulers and 16 of the short ones left. What was the total number of rulers left?
3 m
Level 3
Rael, Henry and Will shared $117. During a shopping trip, Rael spent 16 of his share, Henry spent 15 of his share and Will spent 12 of his share. Given that all three boys each spent the same amount of money, how much more money do Rael and Henry have than Will in the end?
3 m
Level 3 PSLE
Blake and Steve ran in a race. When Steve had completed the race, Blake had only run 58 of the distance. Steve's speed was 75 m/min faster than Blake's speed. Both of them did not change their speeds throughout the race. What was Blake's speed in m/min?
3 m
Level 3
Tickets for a theme park were sold at $83 and $117. All the tickets were completely sold out. The amount collected for the $117 tickets was $80145. Given that the number of $117 tickets was 17 of the number of $83 tickets, how much more money was collected from the sales of the $83 ticket than the $117 ticket?
3 m
Level 3 PSLE
Tickets for a zoo trip were sold to teachers and pupils at different prices as shown.
Price per ticket:
Teacher $20
Pupil $8
14 of the tickets sold were bought by teachers. The total amount of money collected from the sale of tickets to pupils was $416 more than the total amount collected from the sale of tickets to teachers. How much money was collected from the sale of tickets altogether?
3 m
Level 3
Henry had to paint some cartons. On the first day, the number of cartons he painted was 40% of the number of cartons that he had not painted. One week later, he painted another 100 cartons. As a result, the total number of painted cartons became 28 more than 12 of the total number of cartons. How many more cartons were unpainted than painted on the first day?
4 m
Level 3
Betty and Eva shared some stickers. Betty had 60% of what Eva had at first. Betty then gave Eva 37 of what she had. How many more percent did Eva have than Betty in the end? Correct the answer to 1 decimal place.
4 m
Level 3
At a zoo, there were 35 as many adults as children at first. After 46 adults left, there were 116 more children than adults remaining at a zoo. How many adults were at the zoo at first?
3 m
Level 3
Sean, Tim, Fred and Mark paid a total of $132 for a souvenir. Mark paid 38 of what the rest paid. Sean paid 20% of what the rest paid. Tim and Fred paid an equal amount of money. How much did Fred pay?
4 m