241 P4.AN.JM.17092805
Level 3
In the figure, ∠ACB = 90°. ∠ACD is 36° more than ∠BCD.
  1. What line is perpendicular to AC?
  2. Find ∠ACD.
3 m
Right angle Model Comparison Units method
242 P4.AN.JM.17092807
Level 3
In the figure, BC is a straight line. ∠ADB = 90°, ∠EDF is equal to ∠FDC but 24° more than ∠ADE.
  1. What line is perpendicular to BC?
  2. Find ∠EDF.
3 m
Right angle Equal stage Model Comparison Units method
243 P4.AN.JM.17092831
Level 3
HJKM is made up of two squares. What is ∠HLJ?
3 m
Right angle Square
244 P4.AN.JM.17092830
Level 3
In the figure, STUV is a square. Find ∠b.
3 m
Right angle Square
245 P4.AN.JM.17092832
Level 3
In the figure, WXYZ is a rectangle. Find ∠a.
3 m
Right angle Rectangle
246 P4.AN.NK.23041234
Level 3
The figure shows a rectangle. What is the missing number?
∠x + ∠y = _____
3 m
Right angle Rectangle
247 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
248 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
249 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
250 P6.AN.NK.17081611
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
Square Equilateral triangle Isosceles triangle Right angle Angles sum of triangle
251 P4.AN.JM.17092839
Level 3
In the figure, EC is a straight line. ∠BDC = 42°, ∠ADE is 18° larger than ∠ADB. Find ∠ADE.
3 m
Angles on a straight line Model Comparison Units method
252 P4.AN.JM.17092840
Level 3
In the figure, EC is a straight line. ∠ADB is twice as large as ∠BDC but 20° less than ∠ADE. Find ∠ADE.
3 m
Angles on a straight line Model Comparison Model Times-as-many Units method
253 P6.AN.NK.17052102
Level 3
The figure is not drawn to scale. Find the sum of ∠FAC + ∠FBD + ∠ACF + ∠DFC.
3 m
Angles sum of triangle
254 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
255 P4.AN.JM.17092855
Level 3
The figure shows a rectangle EFGH. ∠GFH = 46° and ∠GHJ = 31°. Find
  1. ∠FHJ
  2. ∠GJH
3 m
Rectangle Angles sum of triangle
256 P6.AN.NK.17050206
Level 3
In the figure, not drawn to scale, PQR is an equilateral triangle and P is the centre of the circle. Find ∠PRS.
3 m
Equilateral triangle Isosceles triangle Angles sum of triangle Angle properties within a circle
257 P4.AN.JM.17092854
Level 3
The figure shows 2 squares ABCD and BECF. ∠GCF is twice as large as ∠GCB.
  1. Name the line that is parallel to AC.
  2. Find ∠FGC.
3 m
Square Angles sum of triangle Model Times-as-many Units method
258 P6.AN.NK.17051735
Level 3
The figure is not drawn to scale. ABCD is a rhombus and ∠BCF is 98°. BDF, CGF, EGD are straight lines. Find ∠DFG.
3 m
Isosceles triangle Circle Rhombus Angles sum of triangle
259 P6.AN.NK.17081612
Level 2 PSLE
In the figure, LMNP is a rectangle and PON is a straight line. ∠LPM = 28° and ∠MON = 80° , find ∠PMO.
2 m
Rectangle Angles on a straight line Angles sum of triangle
260 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

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