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.
In the arrangement shown in Figure B, what is the width of the gap at the side in m?
What is the height of the cupboard in metres?
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.
In the arrangement shown in Figure B, what is the width of the gap at the side in m?
Level 3
The figure shows a tank 45 filled with water. The tank is made up of two cuboids. The top cuboid has a square base of length 10 m and a height of 16 m. The bottom cuboid has a square base of length 5 m and height 12 m. Find the height of the water level from the base of the container.
Level 3
The figure shows a tank 45 filled with water. The tank is made up of two cuboids. The top cuboid has a square base of length 10 m and a height of 16 m. The bottom cuboid has a square base of length 5 m and height 12 m. Find the height of the water level from the base of the container.
Level 3
In the diagram shown, 23 identical rubber balls were placed between two walls with equally spaced gaps between them. The first rubber ball and the last rubber ball were touching the front wall and last wall respectively. Given that the distance between the two walls was 399 cm and that the radius of a rubber ball was 7 cm. Find the length of the gap between any two adjacent rubber balls as shown.
Level 3
In the diagram shown, 23 identical rubber balls were placed between two walls with equally spaced gaps between them. The first rubber ball and the last rubber ball were touching the front wall and last wall respectively. Given that the distance between the two walls was 399 cm and that the radius of a rubber ball was 7 cm. Find the length of the gap between any two adjacent rubber balls as shown.
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.
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.
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.
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
How many small cubes does David have?
The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
How many small cubes does David have?
The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
Level 3
The figure shows a rectangle with 2 identical semicircles and quadrants within It. The length of the rectangle is 10 cm. Find the area of the shaded part. (Take π = 3.14)
Level 3
The figure shows a rectangle with 2 identical semicircles and quadrants within It. The length of the rectangle is 10 cm. Find the area of the shaded part. (Take π = 3.14)
