Level 2
The perimeter of an isosceles triangle is (6k + 21) cm. The longest side is (2k + 7) cm. Find the length of one of the equal sides.
2 m
The figure is not drawn to scale. ∠PQR is a quadrant. Find ∠QRN.
2 m
Level 1
In the figure, ABCD is a square. CEF and AEF are isosceles triangles and ∠BAE = 25°. Find ∠AFE.
2 m
Level 2
The figures X and Y, are two identical isosceles triangles. Both figures contain a square of a different size. Given that the area of the square in Figure Y is 360 cm2, find the area of the square in Figure X.
2 m
Level 2
XYZ and OYZ are isosceles triangles. XY = XZ, OY = OZ, ∠XYO = 18° and ∠YOZ = 80°. Find ∠a.
2 m
Level 2
The figure is formed using four identical isosceles triangles. AGD, AFB, BEC and CHD. ABCD is a square where E, F, G and H are midpoints of its sides. Given FJ = CJ, HK = BK and AD = 14 cm, find the total area of the shaded parts.
2 m
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 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