Level 2 PSLE
Anna has a square piece of paper FGHJ of side 21 cm. She cut along the dotted lines shown in Figure 1 to get one small square of area 9 cm2 and 8 identical right-angled triangles. Triangle KLM in Figure 2 is one such triangle. Find the length of KM.
2 m
Level 3
Find the area of the unshaded part.
2 m
Level 3
How many cubes of edge 2 cm can be cut from a cuboid measuring 18 cm by 12 cm by 10 cm?
3 m
Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
3 m
Level 3
Oscar had two identical wooden cuboid measuring 28 cm by 7 cm by 9 cm. He glued them together to form a solid as shown. He then painted the whole solid in white paint. After that, he cut the solid into 1-cm cubes.
  1. How many 1-cm cubes did he get?
  2. How many 1-cm cubes had none of its faces painted white?
3 m
Level 2
Figure A shows a rectangular sheet of paper. Nellie cut it into 22 identical triangles one of which is shown in Figure B. There was no paper left over. What was The area of the rectangular sheet of paper before it was cut?
2 m
Level 2
The figure is formed by 2 semicircles, 2 identical quarter circles and a square ABCD. The perimeter of square ABCD is 60 cm. What is the total area of the shaded parts? Express the answer in the nearest whole number. (Take π = 3.14)
2 m
Level 1
The figure is made up of a rectangle and a semi-circle. The diameter of the circle is 80 cm. Find the area of the shaded part. (Take π = 3.14)
2 m
Level 2
The figure shows a circle with parts of its region shaded. O is the centre of the circle. Line A is 14.3 cm and Line B is 15.8 cm. Find the difference between the shaded and unshaded areas.
2 m
Level 3
Machine X takes 5 minutes to cut 85 pieces of lumbers. Machine Y takes 15 minutes to cut 120 pieces of lumbers. Machine Z takes 10 minutes to cut 120 pieces of lumber.
  1. Which is the faster combination, X and Y or Y and Z? (Eg A, B)
  2. In 1 minute, how many more pieces of lumbers can be cut by the faster combination compared to the other combination?
3 m