Level 3
In the figure, MNOP is a square and OPQ is an equilateral triangle. Find ∠a.
3 m
Level 3
The figure shows a rectangle ABCD being folded along AT. Given that ∠TAC = 18° find
  1. ∠y
  2. ∠z
3 m
Level 3
In the figure not drawn to scale, a piece of paper that is of parallelogram shape is folded at two comers P and Q as shown. Find ∠a.
3 m
Level 3
In the figure, ABC is parallel to DEF and DC cuts ∠BDE equally. Given that ∠ABD = 50° and ∠BGC = 105°, find
  1. ∠p
  2. ∠q
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
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
Level 3
The figure is made up of 2 triangles, NJM and KLM. Find the area of the shaded part in the figure.
3 m
Level 3
MNOP is a parallelogram and MPQ is an equilateral triangle. QPO is a straight line. Find ∠MON.
3 m
Level 3
In the figure, PR // SU and PT = QT. Find ∠QTR.
3 m
Level 3
In the figure, ABCD is a rectangle. E is a point on line AB. F and G are points on line DC. The total shaded area of triangles DEF and FBG is 112 cm2. AD = 14 cm and GC = 4 cm. Find the area of rectangle ABCD.
3 m
Level 3
In the figure, WXYZ is a rectangle. h = 20 cm, WX = 30 cm, XY = 24 cm. Find the area of the shaded parts.
3 m
Level 3
The figure shows a parallelogram. Find
  1. ∠x
  2. ∠y
  3. ∠z
3 m
Level 3
ABCD is a rectangle. Find the area of the shaded part.
3 m
Level 3
MNO and NOP are two identical equilateral triangles. MN = NY and PO = OZ.  Given that MP = 42 cm and YZ = 72 cm, find the total unshaded areas.
3 m
Level 3
The figure is made up of 2 squares of different sizes. Find the area of the shaded part.
3 m
Level 3
The figure, not drawn to scale, is made up of a triangle QRS, an equilateral triangle KLM and a trapezium NPRS. ∠SRP = 117°, ∠RPN = 63° and ∠PNS = 55°. Find the sum of ∠a, ∠b, and ∠c.
3 m
Level 3
The figure, not drawn to scale, is made up of an equilateral triangle KLM and a trapezium ABCD. Find the sum of ∠x, ∠y and ∠z
3 m
Level 3
The figure, that is not drawn to scale, is made up of 2 rectangles of the same breadth. What is the area of the shaded part?
3 m
Level 3
In the figure, PQRS is a rectangle where TS is a straight line. Find the areas of the shaded Triangle A and Triangle B.
3 m
Level 3
In the figure, not drawn to scale, JKL is an isosceles triangle, KLMN is a parallelogram and NKJ is a straight line. Find ∠NQP.
3 m