341 P5.AN.JM.17083247
Level 3
In the figure, ABCD is a square and AEFC is a rectangle. EC is a straight line and ∠ECF = 58°. Find ∠ECB.
3 m
Right angle Square Rectangle Overlapping angles
342 P5.AN.NK.23041252
Level 3
A rectangular piece of paper is folded to form the diagram.
  1. Find ∠a.
  2. Find ∠b.
3 m
Rectangle Triangle Right angle Angles on a straight line Overlapping angles Folded figure
343 P6.AN.NK.17052103
Level 3
In the figure, ABDE, CBJI, CDFG, EFHI and CBJI are straight lines. Find the value of ∠w + ∠x + ∠y + ∠z.
3 m
Angles sum of triangle Exterior angle of a triangle Sum of angles in a star
344 P5.AN.NK.23041254
Level 3
ABCD is a rectangular piece of paper. Corners C and D are folded upwards as shown. ∠CFG = 23° and ∠DFE = 16 °
  1. Find ∠CGF
  2. Find ∠DFC
3 m
Rectangle Triangle Right angle Angles on a straight line Overlapping angles Folded figure
345 P5.AN.JM.17083254
Level 3
In the figure, AC is parallel to ED and AF is parallel to BG. AFE is a straight line, ∠AFG = 96°. ∠FAB = 99° and the sum of ∠BCD and ∠DEF is 150°. Find
  1. ∠FGB
  2. ∠EDC
3 m
Interior angles Sum of angles in a quadrilateral
346 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
347 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
348 P5.AN.JM.17083263
Level 3
In the figure, PQST, PYWV, RQYX, XWUT and RSUV are straight lines. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Exterior angle of a triangle Sum of angles in a star
349 P4.AN.JM.17092851
Level 3
The figure shows a square ABCD. ∠BAE = 27°.
  1. Name the line of symmetry for the square ABCD.
  2. Find ∠AEC.
4 m
Square Angles sum of triangle Symmetry
350 P4.AN.JM.17092852
Level 3
The figure shows a square PQRS. ∠QST is 21° larger than ∠RST.
  1. Name the line of symmetry for the square PQRS.
  2. Find ∠QST.
  3. Find ∠QTS.
4 m
Square Angles sum of triangle Symmetry Model Comparison Units method
351 P4.AN.JM.17092853
Level 3
The figure shows a square JKLM. ∠LJN is twice as large as angle MJN.
  1. Name the line of symmetry tor the square JKLM.
  2. Find ∠LJN.
  3. Find ∠JNM.
4 m
Square Angles sum of triangle Symmetry Model Times-as-many Units method
352 P4.AN.JM.17092863
Level 3
The figure shows a square PQRS. SQUV is a rectangle. ∠SUV = 21°
  1. Name the line that is parallel with SQ.
  2. Find ∠RST.
  3. Find ∠QTS.
4 m
Square Rectangle Exterior angle of a triangle Alternate angles
353 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
354 P4.AN.JM.17092861
Level 3
The figure shows 2 squares JKLM and NJPQ. ∠LJN = 114°.
  1. Name the line that is parallel with JP.
  2. Find ∠RJP.
  3. Find ∠JRQ.
4 m
Square Exterior angle of a triangle Overlapping angles
355 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
356 P4.AN.JM.17092872
Level 3
The figure shows a piece of square paper ABCD folded at two of its corners A and C. ∠AED is 3 times as large as ∠ADE and ∠CDF is 6° smaller than ∠ADE. Find ∠ADC.
4 m
Square Angles sum of triangle Overlapping angles Model Comparison Model Times-as-many Units method
357 P6.AN.NK.17051721
Level 3
The figure is not drawn to scale. UVY is an equilateral triangle and XVW is an isosceles triangle. WVU and VXZ are straight lines and WU//ZY. ∠YVZ = 90° and ∠XYV = 56°.
  1. Find ∠WVZ.
  2. Find ∠VXW.
  3. Find ∠YXZ.
4 m
Equilateral triangle Isosceles triangle Angles on a straight line
358 P6.AN.NK.17051740
Level 3
The figure is not drawn to scale. BCEF is a square and ABF is an equilateral triangle. CDE is an isosceles triangle. AED is a straight line.
  1. Find ∠FAE.
  2. Find ∠CDE.
4 m
Square Equilateral triangle Isosceles triangle Angles on a straight line
359 P6.AN.NK.17051754
Level 3
In the figure, not drawn to scale, PQRS is a square. RLN, SLQ and RMN are straight lines. Find the value of ∠PMN.
4 m
Right angle Square Vertically opposite angles Angles sum of triangle
360 P5.AN.JM.17083146
Level 3
In the figure, JKLM is a parallelogram. Find ∠b.
4 m
Parallelogram

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