Level 3
The figure is made up of four small squares. Linda had painted part of one square white and the rest of the figure grey. The perimeter of the white part is 38 cm and the perimeter of the grey part is 72 cm. Find the area of one small square.
4 m
Level 3
The figure, not drawn to scale, is made up of Rectangle A and Rectangle B overlapping each other. The area of Rectangle A is 34 the area of Rectangle B. Given that 14 of Rectangle A is shaded. What fraction of the total area of the figure is unshaded?
5 m
Level 3
The table shows the prices of tickets for a concert performance for an adult ticket and a child ticket. 14 of the tickets sold were for adults. The total amount of money collected from sale of the child tickets was $230 more than the total amount collected from the sale of adult tickets.
  1. How many child tickets were sold?
  2. How much money was collected from the sale of all the tickets?
5 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
Contestants in a quiz were awarded certificates based on their scores. A total of 312 points were awarded. 18 of the contestants received the Certificate of Distinction. 45 of the remaining contestants received the Merit Certificate and the rest received the Participation Certificate. How many contestants received the Certificate of Distinction?
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
Mindy, Jake and Donald shared a sum of money. The amount received by Jake was 23 the amount of money received by Donald. After Mindy had given $48 to Jake and $27 to Donald, Jake gave $3 to Donald. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Mindy and Jake had at first.
5 m
Level 3
Sandy, Tina and Vivian baked some tarts. Sandy and Tina baked 34 of the tarts. Tina and Vivian baked 35 of the tarts. Sandy and Vivian baked 520 tarts altogether.
  1. What fraction of the tarts did Sandy and Vivian bake altogether?
  2. How many tarts did the three girls bake in total?
5 m
Level 3
An equal number of sweets were distributed to 9 girls and 11 boys. Each girl then gave 23 of her share of sweets to the boys. As a result, each boy received 72 more sweets.
  1. How many sweets did each girl have left?
  2. Find the total number of sweets each boy had after receiving more sweets from the girls.
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
Belle painted a letter 'N' on a piece of rectangular cardboard that has a length of 15 cm. The ratio of the length to the breadth of the cardboard is 5 : 4. Both triangles were identical. What area of the cardboard was painted?
5 m
Level 3
Miki, Natalie and Ollie each had some beads and decided to play a game with their beads. In round 1, Miki lost 12 of her beads to Natalie. In round 2, Natalie lost 12 of her total number of beads to Ollie. In round 3, Ollie lost 12 of her total number of beads to Miki. In the end, Miki, Natalie and Ollie had 124, 88 and 68 beads respectively. How many beads did Natalie have at first?
5 m
Level 3
Some identical rectangular tiles are arranged to form a big rectangle as shown. The length of each tile is 36 cm. Find the area of the shaded part.
5 m
Level 3
Mr Chen used some identical rectangular tiles and black square tiles to decorate part of a floor as shown. The length of each tile is 34.5 cm.
  1. Find the width of each tile.
  2. Find the total area of the shaded regions.
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