Level 3
The figure shows Square X and Square Y inside Square ABCD. The area of Square Y is 49 cm2 and the area of Square ABCD is 81 cm2.
  1. Find the length of AE
  2. Find the area of the shaded region.
4 m
Level 3
The figure is made up of 2 different squares. The perimeter of the shaded part is 64 cm and the area of the shaded part is 135 cm2. Find the area of the unshaded square.
4 m
Level 3
The diagram shows a rectangle RSUP, which is made up of square RSTQ and rectangle QTUP. Figure X, Y and Z are squares and the area of square Z is 1 m2. The area of square X is 23 of the shaded area in rectangle QTUP and QA = AT. Find the unshaded area of rectangle QTUP.
4 m
Level 3
Jane painted a grey square on rectangle ABCD as shown. The length of BC is twice of EC. The length of AD is 12 of AB. Find the area of the unpainted part of the rectangle ABCD.
4 m
Level 3 PSLE
A square, not drawn to scale, is made up of four triangles A, B, C and D. The area of A is 110 the area of the square while the area of B is 16 the area of the square.
  1. The total areas of A and B is 240 cm2. What is the length of each side of the square?
  2. What fraction of the square is Area of D?
5 m