Level 3
Recca took 5 hours to travel from Country A to Country B at 60 km/h. Then he travelled from Country B to another country at 1.5 times his original speed. 40% of the distance from Country A to Country B is equal to 13 of the distance from Country B to the next country. Find the average speed for the whole journey and express it in mixed number.
5 m
Level 3
Ivory had 4 times as many cards as erasers. After she used 105 cards and 7 erasers, there were twice as many erasers as cards.
  1. How many cards did Ivory have in the end?
  2. How many erasers did Ivory have at first?
4 m
Level 3
In the figure, PQRS is a rectangle with a perimeter of 84 cm. PU, PR, TU and TR are straight lines. The length of PQ is twice the length of QR.
  1. What is the area of rectangle PQRS?
  2. Given that the area of triangle TRU is 91 cm2
    , find the area of triangle SPU.
4 m
Level 3
Eric had an equal number of cream scones, strawberry scones and vanilla scones. After he ate 28 cream scones, some strawberry scones and vanilla scones, there were 55 scones left. The number of strawberry scones he ate was thrice the number of vanilla scones he ate. The number of strawberry scones left was 22 more than the number of cream scones left. How many cream scones were there at first?
4 m
Level 3
Triangle ABC and Triangle DBC share the same base BC. The height of Triangle ABC is 4 times the height of Triangle DBC. Given that DE is 4 cm and BC is 13 cm, Find the area of the shaded part.
4 m
Level 3
Fanny and Gillian collected some stamps. If Fanny gave Gillian 52 stamps, both would have an equal number of stamps. If Gillian gave Fanny 40 stamps, Fanny would have 5 times as many stamps as Gillian. Find the number of stamps each of them had.
  1. Fanny?
  2. Gillian?
4 m
Level 3
ABCD is a rectangle. BC is 48 cm and AB is twice of BC. Find the area of Triangle CXY.
4 m
Level 3
There were some pears, guavas and mangoes. The number of pears was three times the number of guavas. The total number of pears and guavas was half of the number of mangoes. There were 180 fruits altogether. All the mangoes were sold at 6 for $20. How much money was collected from the sale of the mangoes?
4 m
Level 3 PSLE
Wendy spent 16 of her money on a dress and 3 belts. The dress cost 2 times as much as each belt. Wendy spent 34 of her remaining money on a watch. She spent $160.65 more on the watch than on the 3 belts.
  1. What fraction of Wendy's money was spent on each belt?
  2. How much money did Wendy have at first?
5 m
Level 3
There were 1870 books in a book shop. There were 6 times as many storybooks as assessment books. There were an equal number of assessment books and manuals. There were half as many non-fiction books as storybooks.
  1. How many assessment books were there?
  2. How many storybooks were there?
4 m
Level 3
At a funfair, there were 13 as many boys as girls and 25 as many adults as children. If there were 24 more adults than boys at the funfair, find the total number of people at the funfair.
4 m
Level 3
Elyse, Yoko and Shannon had a sum of money. Elyse and Yoko had $112 altogether. Yoko and Shannon had $272 altogether. The amount that the three girls had in total was 7 times the amount that Yoko had. How much did Yoko have?
4 m
Level 3
Jane painted a grey square on rectangle ABCD as shown. The length of BC is twice of EC. The length of AD is 12 of AB. Find the area of the unpainted part of the rectangle ABCD.
4 m
Level 3
The figure is made up of identical rectangles. The length of the rectangle is twice of its breadth. The area of the figure is 256 cm2. What is the perimeter of the figure?
4 m
Level 3
The figure, not drawn to scale, is made up of 3 squares, A, B and C. The length of one side of square A is twice the length of one side of square B. The length of one side of square B is twice the length of one side of square C. If the length of square B is 16 cm, find the area of the shaded parts of the figure.
4 m
Level 3
At a race, 37 of the number of boys is equal to 25 of the number of girls. The number of adults at the race is thrice the number of children. The number of coupons given to each adult, boy and girl at the race is 4, 3 and 2 respectively. The total number of coupons given at the race is 7980.
  1. What is the total number of coupons given to the adults?
  2. What is the number of girls at the race?
5 m
Level 3
Melanie, Oprah and Andy shared $4590 among themselves. Oprah and Andy shared 49 of the money equally. After Oprah gave away some of her money to Melanie, Andy had 3 times as much money as Oprah. How much money did Oprah give to Melanie?
5 m
Level 3
49 children attended a giveaway. 17 of the children were girls and the remaining children were boys. Each girl received a $7 voucher and each boy received a $9 voucher. What was the total value of vouchers given away?
4 m
Level 3
Pinpin bought 1500 stickers and Don bought 2840 stickers. After Don used 25 times as many stickers as Pinpin, he was left with twice as many stickers as Pinpin. How many stickers did each of them have in the end?
  1. Pinpin
  2. Don
5 m
Level 3
Pauline bought 200 blue and red balloons for a party. The number of red balloons was 35 times as many as the number of blue balloons. Pauline used 13 times as many red balloons as blue balloons and was left with twice as many red balloons as blue balloons. How many balloons did Pauline have in the end?
5 m