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
Mr Lim has three pieces of rope of length 80 cm, 140 cm and 180 cm. He wishes to cut the three pieces of rope into smaller pieces of equal length with no remainder.
  1. What is the greatest possible length of each of the smaller pieces of rope?
  2. How many of the smaller pieces of rope of equal length can he get?
4 m
Level 3
Roger had some rope with a total length of 24 m. He used 23 of the rope to tie a wooden structure for outdoor cooking and 34 of the remaining rope to strengthen the pegs for his tent. How much rope did he have left? Give your answer in meters.
4 m
Level 3
John wants to cover a floor measuring 80 cm by 100 cm with square tiles of the same size. Given that he uses only whole tiles, find
  1. the largest possible length of the side of each tile.
  2. the number of tiles that are needed to cover the floor.
4 m
Level 3
What is the shortest length which can be divided into 2 cm, 4 cm or 8 cm portions without any remainder?
4 m
Level 3
Alyson, Clara and Joyce were each given a piece of string of equal length. Alyson cut hers into equal lengths of 2 m, Clara cut hers into equal lengths of 3 m, and Joyce cut hers into equal lengths of 5 m. If there were no remainder in each case, find the shortest length of string given to each of them.
4 m
Level 3
The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.
  1. What is the radius of each quarter circle?
  2. What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.
5 m
Level 3
The total length of 3 ribbons and 6 wires is 300 cm. The length of a wire is 13 of the length of the ribbon. What is the total length of the 6 wires?
4 m
Level 3
Tanya takes 6 minutes to jog 1 round on the track while Joel takes 9 minutes to jog 1 round. Both of them started jogging around the track in the same direction and at the same time. How long would it take for them to meet each other for the first time at the starting point?
4 m
Level 3
Red, blue and green cloths are sold in 40 cm, 70 cm and 100 cm long respectively. Ron wanted to buy equal length of each color. What is the least number of rolls of each color he must buy?
  1. Red cloth
  2. Blue cloth
  3. Green cloth
4 m