Level 3
The figure is formed by 4 identical shaded rectangles and an unshaded square. The area of the unshaded square is 49 cm2. Find the total area of the 4 shaded rectangles.
4 m
Level 3 PSLE
The figure shows a path of width 3 m in a rectangular park of length 42 m. The outline of the path is made up of quarter circles with centre A, semicircles with centre D and straight lines. AB = CD.
  1. What is the width of the rectangular park?
  2. Find the area of the path. Take π = 3.14.
4 m
Level 3
The figure, not drawn to scale, is made up of a square and three rectangles. The square has an area of 81 cm2. What is the area of Rectangle X?
4 m
Level 3
The figure, not drawn to scale, is made up of 2 squares and 2 rectangles. What is the area of Rectangle A?
4 m
Level 3
ABFG is a square. The length of CD is 35 of BF and the area of BCDE is 864 cm2. Given BC = EF, Find the area of the shaded parts.
4 m
Level 3
The figure is made up of 4 rectangles. The lengths and breadths of each rectangle are in whole numbers. Find the area of the shaded rectangle.
4 m
Level 3
12 similar strips of paper were glued to form a new long strip of paper of length 135 cm. The first and second strip were glued together to form an overlapped length of 3 cm as shown. This was consistent for the rest of the remaining strips of paper. Find the length of each original strip of paper.
4 m
Level 3
The figure, not drawn to scale, shows Square X and Square Y inside Square ABCD. The area of Square Y is 49 cm2 and the area of Square ABCD is 144 cm2.
  1. Find the length of one side of Square X.
  2. Find the perimeter of the shaded region.
4 m
Level 3
Six identical rectangular parcels are packed into a rectangular box with a width of 80 cm. The top view of two possible arrangements are shown below. The first arrangement shown leaves gaps of 23 cm and 15 cm. The second arrangement shown leaves a 34 cm gap. What is the length of the other gap in the second arrangement?
4 m
Level 3
Figure A is a rectangle with an area of 192 cm2. The breadth of the rectangle is 34 as long as its length. Figure B is a square. Given that both figures have the same perimeter, find the area of Figure B.
4 m