591 P5.AP.NK.23041257
Level 3
The figure shows overlapping a rectangle. Find the area of the shaded part.
4 m
Rectange Triangle Composite figure area Overlapping area
592 P4.AP.JM.17100283
Level 3
The diagram shows a rectangle RSUP, which is made up of square RSTQ and rectangle QTUP. Figure X, Y and Z are squares and the area of square Z is 1 m2. The area of square X is 23 of the shaded area in rectangle QTUP and QA = AT. Find the unshaded area of rectangle QTUP.
4 m
Square Rectangle Triangle Composite figure area Units method
593 P6.AP.JC.22040804
TRY FOR FREE
Level 3 PSLE
The figure is made up of three rectangles. A straight line drawn across the rectangles, divides the figure into two parts: shaded and unshaded.
  1. The perimeter of the shaed part is 8 cm longer than the perimeter of the unshaded part. What is the length of AB?
  2. What is the area of the shaded part?
4 m
Attempt
Rectangle Rectilinear figure Triangle Composite figure perimeter Composite figure area More than or less than Units & parts Elimination
594 P6.AN.NK.17052109
Level 3
Figure UWXYZ is not drawn to scale. Find ∠a.
5 m
Vertically opposite angles Angles sum of triangle Exterior angle of a triangle
595 P6.AN.NK.17051751
Level 3
In the figure, ∠LRV is a right-angled isosceles triangle. LV//NU , ∠TQP = 49°, ∠RTS = 40° and ∠PSQ = 57°. Find
  1. ∠LVR
  2. ∠QNU
  3. ∠SUT.
5 m
Isosceles triangle Vertically opposite angles Angles sum of triangle Corresponding angles
596 P4.AP.NK.23050842
Level 3
Figure A is a rectangular piece of paper measuring 36 cm by 20 cm. James folded the paper along the dotted line to form Figure B. What is the area of the shaded part of the paper?
4 m
Rectangle Triangle Overlapping area Folded figure
597 P5.AN.JM.17083162
Level 3
In the figure, ABCD is a trapezium and ADEH is a rhombus. AD is parallel to BC and DE = DF. HDC and DGF are straight lines. ∠DAH = 38° and ∠GDH = 47°. Find
  1. ∠ADC
  2. ∠DFE
5 m
Isosceles triangle Rhombus Trapezium Angles on a straight line
598 P6.AN.NK.17052304
Level 3
In the figure, not drawn to scale, ABCD is a square, CDE is an equilateral triangle, CEFG is a rhombus, and BC = EC. Find
  1. ∠EFG
  2. ∠AEB.
5 m
Square Equilateral triangle Isosceles triangle Rhombus Interior angles
599 P5.AN.JM.17083168
Level 3
In the figure, given that FBDE is a rhombus and ACE is a triangle, find
  1. ∠x
  2. ∠y
5 m
Triangle Rhombus Angles on a straight line Angles sum of triangle Alternate angles
600 P6.AN.NK.17050213
Level 3
In the figure, O Is the centre of the circle and AE is parallel to BC. DF = DE, ∠OAB = 56° and ∠FED = 48°. Find
  1. ∠CBG.
  2. ∠BCD.
5 m
Isosceles triangle Circle Vertically opposite angles Angles sum of a triangle Exterior angle of a triangle Alternate angles Interior angles

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