Level 3
Andy had 4 times as much money as Julian. After Andy spent $164 and Julian spent $38, Julian had thrice as much money as Andy. How much did Andy and Julian have altogether at first?
4 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
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
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
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
Level 3
There are a total of 904 goats, cows, chickens and ducks at a farm. The number of chickens was 324 more than the number of goats. The total number of cows and ducks was 2 times the number of goats.
  1. How many cows and ducks were there at the farm?
  2. The total number of legs for all the cows and ducks was 910. How many cows were there in the farm?
5 m