Level 2
The figure is formed by a circle and an isosceles triangle where PQ = PR. The radius of the circle is 14 cm. Find the area of the shaded part. (Take π = 227)
2 m
Level 2
The figure shows a parallelogram WXVZ and an isosceles triangle UZV. WZV and UZV are straight lines. Given that ∠XYZ = 118°, what is the value of ∠ZUV?
2 m
Level 3
In the figure, ABC and ADE are right-angled isosceles triangles. BD = CE = 2 cm. The shaded area is 22 cm2. Find the length of AC.
2 m
Level 3 PSLE
The figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
  1. Find the length of AE in terms of w. Give your answer in the simplest form.
  2. Find the total area of the figure when w = 16.
3 m
Level 2
Find the unknown angles.
  1. angle x
  2. angle y
2 m
Level 2
The figure shows a right-angled triangle and an isosceles triangle. Find ∠p.
2 m
Level 3
ABCD is a square. QPC and BPD are straight lines. BA = BQ and ∠PBQ = 13°. Find
  1. ∠BAQ
  2. ∠DCQ
.
3 m
Level 3 PSLE
In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.
3 m
Level 3
In the figure, ABDC is a square and QM = QP = QN. Given that RP = PS, RPN = 50° and MN is parallel to AB and it is perpendicular to PQ. Find ∠RPS.
3 m
Level 3 PSLE
In the diagram, LMNP is a square and YX = YW = YZ. XZ is parallel to LP and it is perpendicular to WY. If ∠XWK is 105°, find ∠KWZ.
3 m