41 P4.AN.JM.17092841
Level 2
The figure is made up of 2 squares. ∠ABX = 35° and ∠EBY = 50°. Find ∠XBY.
2 m
Square Angles on a straight line
42 P4.AN.JM.17092848
Level 2
In the figure, PQ is perpendicular to ST. ∠RTU = ∠PTS. Given that angle UTQ = 26°, find ∠RTQ.
2 m
Angles on a straight line
43 P4.AN.JM.17092842
Level 2
ABCD is a square and CEFG is a rectangle. Find ∠x + ∠y.
2 m
Right angle Square Rectangle
44 P4.AN.JM.17092849
Level 2
In the figure, PQ is perpendicular to ST. ∠RTU = ∠PTS. Given that ∠STU is 3 times as large as angle RTS, find ∠RTQ.
2 m
Angles on a straight line Model Times-as-many Units method
45 P4.AN.JM.17092857
Level 2
The figure shows a square ABEF and a rectangle BCDE. ∠ADE = 38°. Find ∠DAE.
2 m
Square Rectangle Angles sum of triangle
46 P4.AN.JM.17092809
Level 2
In the figure, AB is perpendicular to BC. ∠ABD = 52° and ∠CBE = 76°. Find ∠EBD.
2 m
Right angle Overlapping angles
47 P4.AN.JM.17092865
Level 2
In the figure, PQRS is a square. ∠PSU = 50° and ∠TSR = 75°. Find ∠TSU
2 m
Right angle Square Overlapping angles
48 P4.AN.NK.23041230
Level 2
The figure (not drawn to scale) is made up of 2 rectangles. Find ∠m.
2 m
Right angle Rectangle Overlapping angles
49 P4.AN.NK.23041233
Level 2
The figure is made up of 2 rectangles, ABCD and EFGC. Given that ∠DCG is 142°,
  1. find ∠x.
  2. find ∠y.
2 m
Right angle Rectangle Overlapping angles
50 P4.AN.NK.23041232
Level 2
Square ABCD is folded as shown in the diagram. Find ∠x.
2 m
Right angle Square Overlapping angles Folded figure
51 P4.AN.JM.17092870
Level 2
The figure shows a piece of square paper ABCD folded at two of its corners A and C. Given that ∠ADE = 12° and ∠CDF = 15°, find ∠ADC.
2 m
Right angle Square Overlapping angles Folded figure
52 P4.AN.JM.17092869
Level 2
Pauline has a piece of square paper. She folded it along the dotted line as shown. Find ∠g.
2 m
Right angle Square Overlapping angles Folded figure
53 P4.AN.NK.23041228
Level 2
A piece of rectangular paper ABCD was folded as shown. ∠FCB = 58°. Find ∠ECF.
2 m
Right angle Rectangle Overlapping angles Folded figure
54 P4.AN.NK.23041229
Level 2
A rectangular piece of paper is folded at one of its corners as shown. Find ∠y.
2 m
Right angle Rectangle Overlapping angles Folded figure
55 P4.AN.JM.17092846
Level 2
The figure shows a piece of rectangular paper ABCD folded at two of its corners C and D. Given that ∠DFE = 21° and ∠CFG = 15°, find ∠CFD.
2 m
Rectangle Overlapping angles Angles on a straight line Folded figure
56 P4.AN.JM.17092873
Level 2
What is 23 of a complete turn?
2 m
Angle properties within a circle Fraction of a whole
57 P4.AN.JM.17092817
Level 2
Thomas made a half turn in an anti-clockwise direction. Then he made a quarter turn in the clockwise direction. He is now facing the playground. Is he facing Block 345 at first? Give your answer as Yes = Y and No = N.
2 m
Compass Working backwards
58 P4.AN.JM.17092806
Level 3
The figure is not drawn to scale. ∠ABC is a right angle. ∠x is twice of ∠y. Find ∠x.
3 m
Right angle Model Times-as-many Units method
59 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
60 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

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