Level 3
The figure is not drawn to scale. It has three parallel lines and two isosceles triangles. ∠x and ∠y are in the ratio of 3 : 5 respectively. Find ∠x + ∠y + ∠z.
3 m
Level 3
In the figure, ABCD is a trapezium. AZB is an isosceles triangle with AZ = BZ. AY and BX are straight lines. Find ∠DAZ.
3 m
Level 3
The figure is not drawn to scale. VWXY is a parallelogram. WZ and XZ are straight lines. UX = UW, ∠UWX = 57° and ∠UWV = 41°. Find the difference between ∠a and ∠b.
3 m
Level 3
In the figure, not drawn to scale, QSTU and PRUV are rhombuses. Given that ∠TSR = 116° and ∠QPV = 124°, find
  1. ∠PVR
  2. ∠RWQ.
3 m
Level 3 PSLE
In the figure, EFGH is a trapezium. P is a point on EH such that PG = GH. ∠EFG = 62° and ∠FEP = 110°. Find LPGF.
3 m
Level 3
The figure is not drawn to scale. ACDE is a trapezium and AC//ED. Given that AE = AB, ∠EAB = 76° and ∠ACD = 100°.
  1. Find ∠CDE.
  2. Find ∠ABE.
  3. Find ∠BED.
3 m
Level 3
The figure shows 3 identical isosceles triangles X, Y and Z, one more isosceles triangle, W, and a rhombus, C. What is the value of a?
3 m
Level 3
In the figure, not drawn to scale, O is the centre of the semi circle and OABC is a rhombus. ∠OCD = 32°. Find
  1. ∠x
  2. ∠y.
3 m
Level 3
The figure is formed by a circle and an isosceles triangle XYZ. The diameter of the circle is 56 cm. Find the difference in area between the two shaded parts. (Take π = 227)
3 m
Level 3
In the figure, not drawn to scale, shows a rhombus and a rectangle lined up between two poles. Find ∠z.
3 m
Level 3 PSLE
In the figure, WXYZ is a parallelogram and YZRS is a rhombus. ∠XYS = 90° and ∠YSZ = 24°. Find ∠WXY.
3 m
Level 3
In the figure, not drawn to scale, ACDE is a parallelogram and ABF is an isosceles triangle. EFCB is a straight line. ∠CDE = 100°, ∠ACF = 54° and ∠CAB = 12°. Find ∠EAF.
3 m
Level 3
Two corners of a square are folded as shown in the figure. Find ∠ABC.
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, WXYZ is a rectangle. h = 20 cm, WX = 30 cm, XY = 24 cm. Find the area of the shaded parts.
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, 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
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