41 P5.AP.JM.17083177
Level 3
The figure is made up a rectangle and a square.
  1. Find the perimeter of the figure.
  2. Find the area of the figure.
3 m
Square Rectangle Rectilinear figure Composite figure perimeter Composite figure area
42 P5.AP.NK.23041222
Level 3
Figure ABCDE has an area of 36 cm2. ADE and CDE are triangles.
  1. Find the area of the triangle ADE.
  2. Find the area of the shaded part.
3 m
Triangle Composite figure area Overlapping area
43 P5.AP.JM.17083139
Level 3
The figure, not drawn to scale, is made up of 2 triangles, AGH and EGH. AB is 12 of EF. CD is 23 of AB and the difference between EF and CD is 12 cm. Given that HG = 10 cm, find the area of the entire figure.
3 m
Triangle Composite figure area Overlapping area Fraction to units Repeated identity Units method
44 P5.AP.JM.17083243
Level 3
The figure is made up of a four-sided figure and a circle. The area of the four-sided figure is 37 of the area of the circle. Given that 13 of the circle is shaded and the area of the shaded part is 42 cm2, what is the difference between the area of the circle and the area of the four-sided figure?
3 m
Composite figure area Overlapping area Fraction to units Units method
45 P5.AP.JM.17083102
Level 3
The figure is made up of 2 overlapping squares. The area of the shaded part is 20 cm2. The length of the bigger square is 6 cm. Find the length of the smaller square.
3 m
Square Rectilinear figure Square & square root Composite figure area Overlapping area
46 P5.AP.JM.17083246
Level 3
The figure, not drawn to scale, is made up of two identical squares, X and Z and a rectangle Y. The ratio of the area X to the area of Y to the area of Z is 1 : 2 : 1. The ratio of the unshaded part of X to the unshaded part of Z is 2 : 3 respectively. Given that half of the area of X is shaded and the total area of all the shaded parts is 48 m2, what is the area of the whole figure?
3 m
Square Rectangle Rectilinear figure Composite figure area Overlapping area Ratio to units Units method
47 P5.AP.JM.17083116
Level 2
The figure is made up of identical rectangles. Find the area of the shaded rectangle.
3 m
Rectangle Rectilinear figure Tiling Composite figure area Units method
48 P5.AP.JM.17083201
Level 3
The figure is made up of 6 similar rectangles of length 20 cm. Find the area of the shaded parts.
3 m
Rectangle Rectilinear area Triangle Composite figure area Units method
49 P5.AP.JM.17083237
Level 3
The figure shows a star formed by 5 identical isosceles triangles and a regular Pentagon CEGIK (which is a 5-sided polygon with equal sides). Given that O is the centre of the star, Length OS = 11 cm and KC = CE = EG = GI = IK = 12 cm, Find the area of the star.
3 m
Isosceles triangle Composite figure area
50 P5.AP.JM.17083203
Level 3
The shaded figure is made up of 3 identical squares of side 10 cm and a triangle with a height of 36 cm. What is the area of the figure?
3 m
Square Triangle Composite figure area
51 P5.AP.JM.17083245
Level 3
The figure is made up of 3 similar overlapping squares of side 6 cm. The squares touched one another at Corners A, B, C, D and E. Jim shaded the parts where the squares overlapped each other.
  1. Find the area of the unshaded part of the figure.
  2. What fraction of the figure is the shaded part?
3 m
Square Composite figure area Overlapping area Fraction of a whole
52 P5.AP.NK.23012635
Level 3
Figure ABCD is made up of 3 identical rectangles and a square. The perimeter of the whole figure ABCD is 80 cm. What is the area of the figure ABCD?
4 m
Rectangle Rectilinear figure Tiling Composite figure area Units method
53 P5.AP.JM.17083195
Level 3
Mr Tan owned a rectangular piece of land, ABCD, as shown in the figure. A path of width 3 m was tiled around the pool and the garden. The area of the square pool was 196 m2 and the area of rectangular garden was 308m2. Find the area of the piece of land.
4 m
Square Rectangle Rectilinear figure Composite figure area
54 P5.AP.JM.17083115
Level 3
The figure is made up of a rectangle and a square. Find the area of the figure.
4 m
Square Rectangle Rectilinear figure Composite figure area
55 P5.AP.JM.17083193
Level 3
The figure consists of 2 squares of side 12 cm and 6 cm respectively. What is the area of the shaded triangle?
4 m
Square Triangle Composite figure area
56 P5.AP.JM.17083213
Level 3
ABFG and CDEF are squares. The area of CDEF is 121 cm2. Find the total shaded area in the figure.
4 m
Square Triangle Composite figure area
57 P5.AP.NK.23022712
Level 3
The rectangle is made up of some triangles. The three shaded triangles are identical. The perimeter of the rectangle is 84 cm. Its breath is 15 cm. Find the total area of the shaded triangles.
4 m
Rectangle Triangle Composite figure area
58 P5.AP.NK.23022719
Level 3
The shape, not drawn to scale, is made up of a square and some triangles. Find the shaded area.
4 m
Square Triangle Composite figure area
59 P5.AP.JM.17083220
Level 3
The figure is not drawn to scale. ABCD is a rectangle. M is the midpoint of AB and N is the midpoint of DC. Given that AE = FD = BG = HC and EF = GH = 4 cm, Find the area of the shaded part.
4 m
Rectangle Triangle Composite figure area
60 P5.AP.JM.17083190
Level 3
The figure shows a rectangle of area 108 cm2. Given that DE = EF = FC, find the total area of the shaded parts in the figure.
4 m
Rectangle Triangle Composite figure area

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