21 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
22 P6.AN.JC.23030117
Level 2 PSLE
A rectangular piece of paper is folded to form a trapezium ABCD. The two shaded triangles are identical. Find ∠x.
2 m
Right angle Rectangle Isosceles triangle Trapezium Angles on a straight line Angles sum of triangle Angles at a point Overlapping angles Folded figure
23 P5.AN.JM.17083145
Level 2
In the figure. ABDE is a parallelogram and ∠CDE = 106°. Find ∠ABC.
2 m
Equilateral triangle Parallelogram Angles at a point Interior angles
24 P5.AN.JM.17083255
Level 2
TUVW is a parallelogram. TWY is a straight line. Find ∠XUT.
2 m
Parallelogram Angles on a straight line Angles at a point Sum of angles in a quadrilateral
25 P4.AN.JM.17092860
Level 3
In the figure not drawn to scale, ∠AEB = 90° and ∠AEF = 122°. Given that ∠AED is three times as large as ∠DEF, find ∠AED.
3 m
Angles at a point Model Times-as-many Units method
26 P4.AN.JM.17092859
Level 3
In the figure, AE is perpendicular to BE and ∠CED = 102°. Given that ∠AED is three times as large as ∠BEC, find ∠AED.
3 m
Angles at a point Model Times-as-many Units method
27 P6.AN.NK.17050214
Level 3
In the figure, not drawn to scale, A and B are the centres of both circles respectively. Find ∠x.
3 m
Circle Angles at a point Angles sum of triangle
28 P6.AN.JC.23100208
Level 3 PSLE
ABCD and CFGE are identical parallelograms. HCB and EDC are identical right-angled triangles.
  1. Find ∠x.
  2. Find ∠y.
  3. Select the words that describe BHF in the statement:
    BHF (is/is not) a straight line because the sum of angles BHC and CHF (is/is not) 180° Give your answers in this format. (Eg is, is not)
3 m
Right-angled triangle Parallelogram Angles sum of triangle Angles at a point Interior angles
29 P6.AN.NK.21060931
Level 3 PSLE
EFG is an equilateral triangle and ABCD is a rhombus. DGH is a straight line. Find ∠z.
3 m
Angles on a straight line Vertically opposite angles Angles sum of triangle Equilateral triangle Rhombus Angles at a point
30 P6.AN.JC.23031302
Level 3 PSLE
ABCD and BDEF are rhombuses. CGD is a straight line.
  1. Find ∠DBG.
  2. Find ∠CDE.
3 m
Isosceles triangle Rhombus Angles sum of triangle Angles at a point
31 P6.AN.NK.17051717
Level 3
In the figure, ABE and DBC are right-angled triangles. EB is parallel to DC. Find
  1. ∠BCD
  2. ∠BED
3 m
Right-angled triangle Angles sum of triangle Angles at a point Alternate angles
32 P6.AN.NK.17051745
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
Isosceles triangle Rhombus Angles at a point Interior angles
33 P5.AN.JM.17083202
Level 2
In the figure, AB and CD are straight lines. ∠AOC is 54°. What is the sum of ∠a and ∠b?
3 m
Right angle Vertically opposite angles Angles at a point
34 P6.AN.NK.17081702
Level 3 PSLE
In the figure, WXYZ is a parallelogram and YZRS is a rhombus. ∠XYS = 90° and ∠YSZ = 24°. Find ∠WXY.
3 m
Isosceles triangle Parallelogram Rhombus Angles sum of triangle Angles at a point Interior angles
35 P5.AN.JM.17083233
Level 3
In the figure, BA // FE and BC // DE. Find
  1. ∠x
  2. ∠y
3 m
Angles at a point Alternate angles
36 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
37 P6.AN.NK.17050204
Level 3
In the figure, not drawn to scale, O is the centre of the circle. HOC, FDC and ODE are straight lines. Find ∠EDF.
3 m
Isosceles triangle Vertically opposite angles Angles at a point Corresponding angles Angle properties within a circle
38 P5.AN.JM.17083260
Level 3
In the figure, O is the centre of the circle and OABC is a rhombus. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Rhombus Angles sum of triangle Angles at a point Interior angles Angle properties within a circle
39 P6.AN.NK.21060916
Level 3 PSLE
In the figure, ABFG is a parallelogram and CDEF is a rhombus. GFE is a straight line. ∠BAG = 53°, ∠FBC = 27° and ∠DCE = 35°.
  1. Find ∠BFC.
  2. Find ∠BCD.
4 m
Isosceles triangle Parallelogram Rhombus Angles on a straight line Angles sum of triangle Angles at a point
40 P6.AN.NK.17050208
Level 3
In the figure, not drawn to scale, O is the centre of the circle. Given that the ratio of ∠OBC : ∠AOC is 3 : 11. Find ∠AOB.
4 m
Isosceles triangle Circle Angles at a point Ratio to units Units method

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