81 P6.AP.JC.17050717
Level 2
The biggest circle has a diameter of 28 cm. Find the total area of the shaded parts. (Take π as 3.14)
2 m
Circle area Semicircle Cut & paste
82 P6.AP.TL.17090756
Level 2
The figure is formed using four identical isosceles triangles. AGD, AFB, BEC and CHD. ABCD is a square where E, F, G and H are midpoints of its sides. Given FJ = CJ, HK = BK and AD = 14 cm, find the total area of the shaded parts.
2 m
Square Isosceles triangle Composite figure area Cut & paste
83 P6.AP.TL.17090757
Level 2
The figure is formed by a circle and an isosceles triangle where PQ = PR. The radius of the circle is 14 cm. Find the area of the shaded part. (Take π = 227)
2 m
Isosceles triangle Right-angled triangle Circle Semicircle Composite figure area Cut & paste
84 P6.AP.TL.17090760
Level 2
The figure is made up of 4 identical circles where W, X, Y and Z are the centres of the circles. Each circle has a radius of 7 cm. Find the area of the shaded region. (Take π = 227)
2 m
Circle Circle area Composite figure area Cut & paste
85 P6.AP.NK.21060430
Level 3 PSLE
Two rectangular mats, each 6 m by 4 m, are place on the floor of a rectangular room as shown. The mats overlap. The area of the floor covered by the overlap is 5.6 cm2. Find the area of the floor not covered by the mats.
2 m
Rectangle Overlapping area
86 P6.AP.NK.21060431
Level 3 PSLE
Figure ABCDE has an area of 42 cm2. ABD and CBE are straight lines. Find the area of the shaded triangle BDE.
2 m
Triangle Composite figure area Overlapping area
87 P6.AP.NK.21060432
Level 3 PSLE
In the figure, ABC and XZY are identical right-angled triangles. The total area of the shaded parts is 96 cm2. Find the area of the unshaded part.
2 m
Right-angled triangle Composite figure area Overlapping area
88 P6.AP.JC.22050403
Level 3
In the figure, ABC and ADE are right-angled isosceles triangles. BD = CE = 2 cm. The shaded area is 22 cm2. Find the length of AC.
2 m
Length Isosceles triangle Right-angled triangle Overlapping area
89 P6.AP.TL.17090785
Level 3
Two identical right-angled triangles overlap each other as shown. Find the area of the shaded part.
2 m
Rectangle Right-angled triangle Overlapping area
90 P6.AP.TL.17090759
Level 2 PSLE
The shaded figure is formed by two identical circles with centres at A and C. ABCD is a square and the length of AB is 7 cm. Find the perimeter of the shaded figure. (Take π = 227)
2 m
Square Circle Circumference Composite figure perimeter Overlapping area
91 P6.AP.TL.17090758
Level 2
X, Y and Z are centres of three identical circles. The length of XY is 7.2 m. XY, YZ and XZ are equal in length. Find the shaded area of the figure. (Take π = 3.14) Correct to 2 decimal places.
2 m
Triangle Circle Composite figure area Overlapping area D Place values D Round off
92 P6.AP.TL.17090761
Level 2
The figure, not drawn to scale, is made up of 3 circles. The ratio of the area of the smallest circle to the largest circle is 2 : 5 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest circle?
2 m
Circle Overlapping area Fraction to units Ratio to units Unchanged total Units table
93 P6.AP.TL.17090762
Level 2
In the figure, the ratio of the area of Circle X to Circle Y to Circle Z is 2 : 3 : 9. If 13 of X is shaded, what is the ratio of the shaded part to the unshaded part to the total figure?
2 m
Circle Overlapping area Fraction of a whole Finding ratio Ratio to units Repeated identity Units table
94 P6.AP.TL.17090768
Level 3
The perimeter of the figure formed by 3 squares, A, B and C, is 54 cm. The length of Square C is 12 the length of Square B. The length of Square A is twice the length of Square B. Find the area of Square A.
3 m
Length Square Fraction to units Times as many Units method
95 P6.AP.TL.17090804
Level 3
The figure shows a rectangular piece of paper with 3 rectangular stickers pasted on it. The stickers have a width of 13 cm each. Find the area of the region that is not covered by the stickers.
3 m
Rectangle Rectilinear figure Composite figure area
96 P6.AP.TL.17090803
Level 3
In the figure, the unshaded rectangle WXYZ has a perimeter of 20 cm. A square is constructed on each of its sides. If the total area of the squares is 80 cm2, find the area of the unshaded rectangle.
3 m
Square Rectangle Rectilinear figure Composite figure area
97 P6.AP.TL.17090771
Level 3
Rectangle WXYZ is made up of an unshaded rectangle, an unshaded square and two shaded rectangles. The area of the square is 25 cm2 and the perimeter of the unshaded rectangle is 78 cm. What is the total area of the 2 shaded rectangles?
3 m
Length Square Square & square root Rectangle Rectilinear figure Composite figure area
98 P6.AP.TL.17090774
Level 3
The figure is made up of 7 identical rectangles.
  1. Find the perimeter of the figure.
  2. Find the shaded area.
3 m
Rectangle Triangle Fraction of a whole
99 P6.AP.JC.22051401
Level 2 PSLE
The figure shows a right-angled triangle, ABC, drawn on a grid.
  1. ABD is a right-angled triangle with the same area as triangle ABC. Identify point D on the grid.
  2. ADE is an equilateral triangle. Identify point E on the grid such that it does not overlap with triangle ABC.
  3. Find the ratio of the area of triangle ABC to the area of triangle ADE.
3 m
Equilateral triangle Isosceles triangle Right-angled triangle Grid dots Equal stage Finding ratio
100 P6.AP.JC.17100101
Level 2 PSLE
Two figures R and S are shown in the square grid.
  1. Which figure has a bigger area?
  2. Which figure has a bigger perimeter?
  3. Which angle is bigger? ∠a or ∠b
3 m
Grid square Rhombus Estimation of an angle

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