Level 3
In the figure, not drawn to scale, two rectangles, ABHI and GHJK overlap each other as shown. Given that AD // GF and CF // DE.
  1. Find ∠a.
  2. Find ∠b.
3 m
Level 2
The figure is made up of similar rectangles. Each rectangle measures 5 cm by 2 cm. Find the perimeter of the figure.
3 m
Level 3
A rectangle measures 20 cm by 16 cm. Its length and breadth are both increased by 25%. Find the percentage increase in its area.
4 m
Level 3
A square of 1 cm is cut from each corner of a rectangle. What is the perimeter of the figure?
3 m
Level 2
The figure is made up of two identical rectangles and a square. Find the perimeter of the figure.
3 m
Level 3
The figure, not drawn to scale, is made up of semicircles in a rectangle ABCD. XY is the common baseline for all the semi-circles.
  1. Find the length of AB.
  2. Using the calculator π, find the perimeter of the shaded parts. Give the answer correct to 2 decimal places.
3 m
Level 3
A rectangle is 25 cm long and 20 cm wide. Its length is now increased by 40% and its breadth is increased by 50%. Find the perimeter of the new rectangle.
4 m
Level 3
The figure is made up of rectangle ABGH and square CDEF. What is the total length of BC and GF?
3 m
Level 3
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m
Level 3
The length and the breadth of a rectangle are both decreased by 20%. By how many percentage will its area be decreased by?
4 m
Level 3
The figure is made up of rectangle RSTU and squares PQYX and WYUV. The length of PQ is equal to the length of RS. The length of PX is twice the length of UV. Find the length of QR.
3 m
Level 3
A thin wire, 132 cm long, is bent to form Figure 1 which consists of a square and a rectangle. If the wire does not overlap and the breadth of the rectangle is one third its length, what is the perimeter of the figure?
3 m
Level 3
A picture is mounted on a frame measuring 24 cm by 16 cm. It has a border of 4 cm around it. Find the area of the picture.
3 m
Level 3
The figure shows a rectangular field which measures 80 m by 46 m. There is one 2 m wide footpath surrounding the field. Find the area of the footpath.
3 m
Level 3
A swimming pool measures 18 m by 9 m. It is surrounded by a path which is 4 m wide as shown. What is the area of the path?
3 m
Level 3
Rectangle WXYZ is made up of 3 identical squares. Given that the perimeter of Rectangle WXYZ is 80 cm, find the total area of the unshaded parts.
3 m
Level 3
A rectangular piece of paper was folded as shown. Find ∠EGI.
3 m
Level 3
The figure is made up of two shaded triangles within a rectangle. Find the area of the unshaded part.
3 m
Level 3
Find the area of the figure.
3 m
Level 3
In the figure, ABCD is a rectangle and BDE is an isosceles triangle. Given that BD = BE, ∠BED = 55° and ∠ADE = 253°, find ∠ DBC.
3 m