Level 3
The figure shows two identical right-angled triangles overlapping each other. Find the area of the shaded part.
3 m
Level 3
Find the area of the following figure.
3 m
Level 3
The figure is made up of 3 similar overlapping squares of side 6 cm. The squares touched one another at Corners A, B, C, D and E. Jim shaded the parts where the squares overlapped each other.
  1. Find the area of the unshaded part of the figure.
  2. What fraction of the figure is the shaded part?
3 m
Level 3
The figure is made up of a square with a shaded part within it of 2 cm thickness throughout. Given that the figure has a total area of 49 cm2, find the area of the shaded part.
3 m
Level 3
A roll of wire can be bent to form a rectangle with designs within it of 3 cm width throughout (see given figure). The figure has a total area of 375 cm2. The breadth of the rectangle is 35 as long as its length. Find the area of the shaded parts.
3 m
Level 3
ABCD is a square of side 14 cm. The circle inside has an area of 154 cm2. What is the area of the shaded part?
3 m
Level 3
Two rectangles of length 14 cm and breadth 10 cm, are placed one on top of the other to form a shape as shown. What is the area of the shape?
3 m
Level 3
X and Y are identical squares. X overlaps Y partially as shown. What is the area of the shaded part?
3 m
Level 3
The figure is made up of 2 identical rectangles partially overlapping each other. Find the perimeter of the figure.
3 m
Level 3
A piece of paper had a length of 15 cm and breadth of 10 cm. Four identical squares with sides 2 cm were cut out from the corners as shown.
  1. What was the area of the paper before it was cut?
  2. What was the area of the paper after the four corners were cut?
4 m
Level 3
Two identical squares overlap each other to form the figure shown. A and B are the centres of squares X and Y respectively. What fraction of the figure is shaded?
3 m
Level 3
Three planks of different lengths, X,Y and Z are nailed together to make a frame as shown. Plank X has 3 holes which divide it into 4 equal parts. Plank Y has 4 holes which divide it into 5 equal parts and Plank Z has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank X is 120 cm long. What is the total length of Plank X, Plank Y and Plank Z?
3 m
Level 3
Adam used 4 similar rectangular strips to form a square. If the perimeter of the square is 64 cm, what is the perimeter of a rectangular strip of paper?
3 m
Level 3
The figure is formed using 4 identical rectangles. Its perimeter is 70 cm. Find its area.
3 m
Level 3
Stanley used 3 similar rectangles and 2 similar squares to make the figure shown (not drawn to scale).
  1. Find the area of A.
  2. Find the area of the figure.
3 m
Level 3
The figure is made up of 8 identical 3 cm squares and 2 identical rectangles. Find the area of the shaded rectangle.
3 m
Level 3
The figure is made up of 5 identical squares. The total area of the figure is 80 cm2. Find its perimeter.
3 m
Level 3
The figure is made up of 3 identical squares and a rectangle. The area of each square is 64 cm2. The breadth of the rectangle is 5 cm. Find the perimeter of the figure.
3 m
Level 3
The figure is made up of 3 rectangles A, B and C and square D. Rectangle A and Rectangle B are identical. Rectangle A has a breadth of 11 cm. The area of Square D is 81 cm2. What is the perimeter of Rectangle C?
3 m
Level 2
Figure A is made up of 2 identical squares. Figure B has the same perimeter as Figure A. Find the length of one square in Figure A.
3 m