Level 3
Study the pattern. Each figure is made up of identical squares.
  1. What fraction of Figure 1 is shaded? Express your answer in the simplest form.
  2. What is the number of shaded squares in Figure 4?
  3. What is the number of unshaded squares in Figure 8?
4 m
Level 3
The square on the right has the same perimeter as the rectangle on the left. Find the area of the square.
3 m
Level 3
Figure A is a square with a perimeter of 56 cm. Figure B is a rectangle with breadth of 7 cm. Given that both figures have the same area, find the perimeter of Figure B.
3 m
Level 3
The same amount of paint can be used to paint either a square (Figure A) or a rectangle (Figure B). Figure A has a perimeter of 64 cm while Figure B has a breadth of 8 cm. Find the perimeter of Figure B.
3 m
Level 3
The figure is made up of a square and a rectangle. The side of the square is 9 cm. The perimeter of the figure is 108 cm. What is the length of the rectangle?
3 m
Level 3
The figure is made up of Squares A and B and Rectangle C. Find the length of Square A.
3 m
Level 3
The diagram shows square X and rectangle Y. The length of rectangle Y is 9 cm longer than its breadth. The breadth of rectangle Y is the same as the length of square X. The perimeter of square X is 56 cm. Find the area of rectangle Y.
3 m
Level 3
A square of side 6 cm has the same perimeter as a rectangle. Find the area of the rectangle if the length of the rectangle is twice the breadth of the rectangle.
3 m
Level 3
The figure is made up of a shaded rectangle inside a square. The length of the square is 10 cm and its area is 5 times the area of the shaded rectangle. What is the breadth of the shaded rectangle if its length is 12 the length of the square?
3 m
Level 3
The figure shows 2 squares ABCD and BECF. ∠GCF is twice as large as ∠GCB.
  1. Name the line that is parallel to AC.
  2. Find ∠FGC.
3 m