Level 3 PSLE
The figure shows a right-angled triangle.
  1. Find the area of the triangle.
  2. Bruce wants to cut such triangles from a rectangular piece of cardboard 50 cm by 80 cm. At most, how many of such triangles can he cut?
4 m
Level 3
Three similar sections are cut away from an equilateral cardboard triangle ABC. Each side of the equilateral triangle is 56 cm. Find the perimeter of the remaining cardboard. (Take π = 3.14)
4 m
Level 3
Melvina folded a rectangular piece of paper, coloured on one side, to form Figure X as shown . She cut out the folded part A and B into the shape as shown in Figure Y. Find the area of Figure Y.
4 m
Level 3
Perry bought a piece of rope and cut it into 3 pieces. The third piece was 2.5 m longer than the first piece. The second piece was 2.42 m shorter than the third piece.
  1. If the first piece was 10.29 m, find the length of the rope before it was cut.
  2. How much did Perry pay if each metre of the rope was $2?
4 m
Level 3
In the figure. WXYZ is a rectangle. The ratio of the length of PX to the length of WX is 2 : 3. Q is the mid-point of XZ. The area of rectangle WXYZ is 192 cm2. What is the area of the shaded part?
4 m
Level 3
The diagram shows 3 identical circles embedded in a rectangle. Given that the length of the rectangle is 18 cm, find the total area of the shaded parts. Use calculator π. (Give the answer correct to 2 decimal places)
4 m
Level 3
Winnie had two rolls of ribbons of the same length but different designs. She cut the first roll of ribbon into equal pieces of length 36 cm and there were 7 hearts on each piece of ribbon and cut the second roll of ribbon into equal pieces of length 54 cm and there were 9 stars on each piece of ribbon as shown. After she finished cutting both rolls of ribbons, she counted that the total number of hearts was 84 more than the total number of stars. Find the length of one roll of ribbon in cm.
4 m
Level 3
A rectangular piece of paper, measuring 20 cm by 10 cm, is cut into 4 smaller identical pieces as shown in Figure A. They are then used to form a shape as shown in Figure B. What is the perimeter of the shape in Figure B?
4 m
Level 3
Fadil has a rectangular piece of paper measuring 42 cm by 20 cm as shown in Figure 1. He cuts out a square from the paper and shifts it to the side of the remaining piece of paper to create a new figure as shown in Figure 2. There is no overlapping of the 2 pieces of paper. Figure 2 has a perimeter of 168 cm. What is the area of the square that was cut out?
4 m
Level 3
After a rectangular piece of paper was cut into 18 squares of sides 4 cm each, a piece of L-shaped strip of paper was left as shown. Given that the length of the rectangular piece of paper is 26 cm, what is the perimeter of the rectangular piece of paper before it was cut?
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 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