Level 3
A rectangular block is sprayed grey on all the six faces before it is cut into 36 identical cubes as shown in the diagram. The total surface area of the 36 individual cubes is 576 cm2 more than the surface area of the original block that is sprayed grey. What is the volume of the rectangular block?
4 m
Level 2
A lace was cut into two pieces as shown. What was the original length of the lace? Give the answer in m and cm.
2 m
Level 3 PSLE
A rectangular block A was cut along the dotted line into two smaller rectangular blocks of equal height, B and C, as shown. The volume of C is 1400 cm3 more than that of B.
  1. What is the height of each block?
  2. Pete packed 6 of block C such that they fit exactly into a box with a square base. The box has the same height as C. At most, how many of block B can be packed into such a box?
4 m
Level 3
A square of 1 cm is cut from each corner of a rectangle. What is the perimeter of the figure?
3 m
Level 3 PSLE
LOPQ is a rectangular cardboard with LQ = 7 cm. Two quarter circles have been cut from it as shown. The remaining cardboard, which is the shaded part, has an area of 56 cm2. Using π = 227, find the length of MN.
3 m
Level 3
The figure is not drawn to scale. It is made up of 2 concentric circles. O is the centre of the circles. OA is 7cm and OF is 5cm. OA, OB, OC, OD and OE cut the circles into 5 identical parts. Find the area of the shaded part. (Take π = 3.14)
3 m
Level 3
The figure is made up of a right-angled isosceles triangle XYZ and a semicircle. XY = YZ and the diameter of the semicircle is 28 cm. Find the area of the shaded part of the figure.
3 m
Level 3
A piece of wire was 5 m long. Henry cut out part of the wire and bent it into 3 squares of different sizes as shown. What was the length of the wire left? (Give your answer in m and cm.)
4 m
Level 3
The figure is made up of a circle, 4 identical semi-circles and a square of side 14 cm. O is the centre of the circle. What is the area of the shaded figure?. (Take π = 227)
3 m
Level 3
The figure is made up of two identical squares, ABCD and WXYZ. The area of each square is 100 cm2. Point A is the centre of Square WXYZ. Find the unshaded area.
3 m