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 PSLE
In Figure 1, WXYZ is a rectangular piece of paper. After 4 identical triangles are cut out from the paper, the remaining paper is shown in Figure 2. The area of the remaining paper is 186 cm2.
  1. What is the area of each triangle that was cut out?
  2. The perimeter of Figure 2 is 36 cm longer than the perimeter of Figure 1. What is the perimeter of each triangle?
5 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 PSLE
A small circle with centre O has been cut from a circular piece of cardboard with the same centre. The radius of the small circle is 8 cm.
The remaining cardboard is then cut into four equal parts along the dotted lines as shown in Figure 1. The four parts are rearranged to form a new shape in Figure 2.
  1. Find the area of the new shape.
  2. Find the perimeter of the new shape. (Take π = 3.14)
5 m
Level 3
The length of a plank is 3 m 2 cm long. Annie cut the plank into 3 pieces. The length of the first piece of the plank is 50 cm. The length of the second piece of the plank is 1 m shorter than the third piece. What is the length of the third piece of plank?
3 m
Level 2
A string of length 45 cm was cut into 9 equal pieces. Jack joined 5 pieces back to back together. How long was the string joined together?
4 m
Level 3
Tammy had 250 cm of ribbon. She used 180 cm of it to tie a present. She cut the rest of the ribbon equally into 10 shorter pieces. How long was each shorter piece of ribbon?
4 m
Level 3
Mr Lee had a piece of ribbon which was 2 m 85 cm long. He used 65 cm of the ribbon to tie a box of cupcakes and cut the remaining ribbon into 5 equal pieces. What was the length of each piece of ribbon?
4 m
Level 3
Jane bought 150 cm of yarn. She used 65 cm of it for decoration. She cut the remaining length of yarn into 5 cm pieces. How many pieces of yarn did she get?
4 m