71 P5.AP.JM.17083208
Level 2
The figure is made up of 2 triangles, ABC and ACD. The length of AD is thrice as much as the length of BC. AB is perpendicular to AD and BC. Find the area of figure ABCD.
2 m
Triangle Composite figure area Times as many
72 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
73 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
74 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
75 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
76 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
77 P6.PA.JM.18011231
Level 3
The figure is made of identical triangles.
  1. Complete the table for layers 5 and 10.
  2. If each small triangle has a height of 4 cm and a perpendicular base of 3 cm. Find the area of all the triangles at the 29th layer.
5 m
Repeated patterns Area Perimeter Triangle
78 P4.AN.JM.17092866
Level 3
The figure shows a rectangle ABCD. ∠BAC = 42° and ∠DAE = 72°.
  1. Name a line perpendicular to AD. Name a line perpendicular to $(A)$(D). Give your answer in letter. (Eg AB)
  2. Find ∠CAE.
  3. Find ∠ACE.
4 m
Rectangle Angles sum of triangle Overlapping angles
79 P4.AN.JM.17092858
Level 3
The figure shows 2 squares ABCD and CEGF, and a rectangle HIJC. ∠DCF = 34° and ∠ECJ = 40°.
  1. Name the line that is perpendicular to FC.
  2. Find ∠BCH.
  3. Find ∠HKC.
4 m
Square Rectangle Angles sum of triangle Overlapping angles

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