11 P6.AN.NK.21060924
Level 2 PSLE
ABCD is a trapezium, EA = EB and CBE is a straight line. Find ∠AEB.
2 m
Equilateral triangle Isosceles triangle Parallelogram Trapezium Angles sum of triangle Alternate angles
12 P6.AN.NK.21060929
Level 2 PSLE
ABCD is a trapezium with AB parallel to DC and AB = BC = BD.
Find ∠CBD.
2 m
Isosceles triangle Trapezium Angles sum of triangle Interior angles
13 P6.AN.NK.21060915
Level 2 PSLE
In the figure, ABCD is a rectangle. BD = BE, ∠BED = 40° and ∠EDA = 264°. Find ∠CDB.
2 m
Right angle Rectangle Isosceles triangle Angles at a point
14 P6.AP.TL.17090756
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
Square Isosceles triangle Composite figure area Cut & paste
15 P6.AP.TL.17090757
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
Isosceles triangle Right-angled triangle Circle Semicircle Composite figure area Cut & paste
16 P6.AP.JC.22050403
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
Length Isosceles triangle Right-angled triangle Overlapping area
17 P6.AG.JC.23030112
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
Algebra in 1 variable Algebra substitution Length Area perimeter Rectangle Isosceles triangle
18 P6.AN.NK.17051730
Level 3
ABCD is a square. QPC and BPD are straight lines. BA = BQ and ∠PBQ = 13°. Find
  1. ∠BAQ
  2. ∠DCQ
.
3 m
Right angle Square Isosceles triangle
19 P6.AN.NK.17052302
Level 3 PSLE
In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.
3 m
Square Equilateral triangle Isosceles triangle Right angle Angles sum of triangle
20 P6.AN.NK.17052307
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
Square Equilateral triangle Isosceles triangle

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