21 P5.AN.NK.23041249
Level 2
The figure is made up of ten identical isosceles triangles. O is the centre of the figure. Find ∠OJK.
2 m
Isosceles triangle Angles at a point
22 P5.AN.NK.23041248
Leve 2
The diagram is not drawn to scale. Given that RST and QSP are straight lines and QRS is an isosceles triangle, find ∠a.
2 m
Isosceles triangle Vertically opposite angles Angles sum of triangle Angles at a point
23 P5.AN.JM.17083137
Level 2
The figure shown is not drawn to scale. ABC is an isosceles triangle and XY is a straight line. Find ∠a.
2 m
Isosceles triangle Angles on a straight line Exterior angle of a triangle
24 P5.AN.JM.17083238
Level 2
The figure is made up of a rhombus ABCD and a trapezium BEFC. DCF is a straight line and ∠BDC = 41°. Find ∠p.
2 m
Rhombus Trapezium Isosceles triangle Angles sum of triangle Corresponding angles
25 P5.AP.JM.17083221
Level 2
The figure is made up of 6 identical isosceles triangles. Find the area of the figure.
2 m
Isosceles triangle Composite figure area
26 P5.AN.JM.17083175
Level 2
In the figure, JKLM is a trapezium, KMN is a straight line, KL = ML, ∠KLM = 106° and ∠JMN = 75°. Find ∠KJM.
2 m
Isosceles triangle Trapezium Angles on a straight line Angles sum of triangle Alternate angles
27 P5.AN.JM.17083205
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
Isosceles triangle Parallelogram Vertically opposite angles Angles sum of triangle Interior angles
28 P5.AN.JM.17083140
Level 2
Find the unknown angles.
  1. angle x
  2. angle y
2 m
Isosceles triangle Angles sum of triangle Sum of angles in a quadrilateral
29 P5.AN.JM.17083253
Level 2
The figure shows a right-angled triangle and an isosceles triangle. Find ∠p.
2 m
Right angle Isosceles triangle Right-angled triangle Sum of angles in a quadrilateral
30 P5.AN.JM.17083126
Level 3
The figure shows two isosceles triangle ABC and ABD. Given that ∠ADB = 50° and ∠ACB = 84°, what is the value of ∠DAC?
3 m
Isosceles triangle
31 P5.AN.JM.17083264
Level 3
AB = BE and AB = BC. Given that ∠DAB is 28° and ∠ADE is 92°, find ∠EAD.
3 m
Isosceles triangle Exterior angle of a triangle
32 P5.AN.JM.17083121
Level 3
In the figure, MNOP is a square and OPQ is an equilateral triangle. Find ∠a.
3 m
Right angle Equilateral triangle Isosceles triangle Angles sum of triangle Exterior angle of a triangle
33 P5.AN.NK.23041250
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
Rectangle Isosceles triangle Angles at a point Alternatte angles
34 P5.AN.JM.17083139
Level 3
In the figure, PR // SU and PT = QT. Find ∠QTR.
3 m
Isosceles triangle Angles sum of triangle Alternate angles
35 P5.AN.JM.17083258
Level 3
In the figure, O is the centre of the circle. ∠ABD is 90°. Find ∠x.
3 m
Right angle Angles sum of triangle Isosceles triangle Angle properties within a circle
36 P5.AP.JM.17083237
Level 3
The figure shows a star formed by 5 identical isosceles triangles and a regular Pentagon CEGIK (which is a 5-sided polygon with equal sides). Given that O is the centre of the star, Length OS = 11 cm and KC = CE = EG = GI = IK = 12 cm, Find the area of the star.
3 m
Isosceles triangle Composite figure area
37 P5.AN.JM.17083171
Level 3
ABCD is a rhombus. ADE is an equilateral triangle. Find
  1. ∠EAB
  2. ∠ABD
4 m
Equilateral triangle Isosceles triangle Rhombus
38 P5.AN.JM.17083118
Level 3
In the diagram shown, ABC is a right-angled triangle and AB = BC = AD. Find
  1. ∠DAC
  2. ∠ADB
4 m
Isosceles triangle Right-angled triangle Angles sum of triangle
39 P5.AN.JM.17083161
Level 3
In the figure, ABCD is a rhombus and ACE is a straight line. Find ∠BEC.
4 m
Isosceles triangle Rhombus Exterior angle of a triangle
40 P5.AN.JM.17083225
Level 3
In the figure, PQ = PS, ∠QPS = 34° and ∠TRS = 15°. Find
  1. ∠x
  2. ∠y
4 m
Isosceles triangle Angles on a straight line Angles sum of triangle Exterior angle of a triangle

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