731 P5.AP.JM.17083211
Level 3
Belle painted a letter 'N' on a piece of rectangular cardboard that has a length of 15 cm. The ratio of the length to the breadth of the cardboard is 5 : 4. Both triangles were identical. What area of the cardboard was painted?
5 m
Rectangle Triangle Composite figure area Ratio to units Units method
732 P6.AP.JC.22040803
Level 3 PSLE
A small circle with centre O has been cut from a circular piece of cardboard with the same centre. The radius of the small circle is 8 cm.
The remaining cardboard is then cut into four equal parts along the dotted lines as shown in Figure 1. The four parts are rearranged to form a new shape in Figure 2.
  1. Find the area of the new shape.
  2. Find the perimeter of the new shape. (Take π = 3.14)
5 m
Quarter circle Circle area Composite figure perimeter Composite figure area Cut & paste
733 P5.AP.JM.17083235
Level 3
ABCD is a rectangle which has a breadth of 8 cm. It is divided into 4 triangles. Triangle X is 110 of the area of the rectangle and 13 the area of Triangle Z. Triangle Y has an area of 12 cm2.
  1. Find the area of the rectangle.
  2. Find the perimeter of the rectangle.
5 m
Rectangle Triangle Composite figure area Fraction of a whole
734 P6.AP.TL.17090841
Level 3
The figure is made up of a right-angled triangle ABC and two semicircles with AB and BC as their diameters respectively. The two semicircles and the line AC meet at D as shown. AB = 12 cm. BC = 16 cm and AC = 20 cm. (Take π = 3.14)
  1. Find the perimeter of the shaded region. Correct the answer to 2 decimal places.
  2. Find the area of the shaded region.
5 m
Right-angled triangle Circumference Semicircle Composite figure perimeter Composite figure area Overlapping area D Place values D Round off
735 P5.AP.JM.17083147
Level 3
Some identical rectangular tiles are arranged to form a big rectangle as shown. The length of each tile is 36 cm. Find the area of the shaded part.
5 m
Rectangle Tiling Units & parts
736 P6.AP.TL.17090851
Level 3
In the figure, not drawn to scale, WXYZ is a rectangle with a length of 45 cm and a width of 22 cm. The area of the quadrilateral ABCD is 75 cm2. Find the ratio of the shaded area to the unshaded area.
5 m
Rectangle Triangle Composite figure area Overlapping area Finding ratio R Simplest form
737 P5.AP.JM.17083149
Level 3
Mr Chen used some identical rectangular tiles and black square tiles to decorate part of a floor as shown. The length of each tile is 34.5 cm.
  1. Find the width of each tile.
  2. Find the total area of the shaded regions.
5 m
Square Rectangle Tiling Units & parts
738 P5.AP.JM.17083241
Level 3
In the figure, not drawn to scale, Triangle ABC and DEF are identical right-angled triangles. Find the unshaded area of the figure.
5 m
Right-angled triangle Overlapping area
739 P6.AP.TL.17090852
Level 3
The rectangle is divided into four parts A, B, C and D. The ratio of Part A to Part B is 5 : 3 and the ratio of Part B to Part C is 2 : 1.
  1. Find the ratio of Part A to Part B to Part C.
  2. Given that Part D is 26 cm2 , find the area of the rectangle.
5 m
Rectangle Finding ratio Ratio to units Repeated identity Units table

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