Level 3 PSLE
Six identical rectangular boxes can be stacked into a cupboard 0.9 m wide. Two arrangements are shown. The first arrangement in Figure A leaves a 42 cm gap at the top. The second one in Figure B leaves a 10 cm gap at the top and another gap at the side.
  1. In the arrangement shown in Figure B, what is the width of the gap at the side in m?
  2. What is the height of the cupboard in metres?
3 m
Level 3
The figure is not drawn to scale. It shows the net of a solid. It is made up of 4 identical rectangles and 2 identical squares. Line A is 30 cm long and Line B is 15 cm long.
  1. Find the volume of the solid.
  2. This solid is a cardboard carton containing small boxes of sweets. Each box of sweets is 3 cm by 2 cm by 1 cm. If all these small boxes of sweets in the carton occupy more than 75% of the carton's volume, what is the minimum number of small boxes of sweets in the carton?
4 m
Level 3
In the figure, not drawn to scale, shows a rhombus and a rectangle lined up between two poles. Find ∠z.
3 m
Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, 25 of it is filled. Find the height of the tank.
4 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