61 P6.AP.TL.17090717
Level 2
In the figure, the circle is touching each of the two squares at exactly four points, if the area of the bigger square is 100 cm2, find the area of the smaller square.
2 m
Square Circle Radius Cut & paste
62 P6.AP.TL.17090718
Level 2
The figure consists of 2 squares and a circle. If the length of the bigger square is 10 cm, what is the area of the shaded part?
2 m
Square Circle F Multiplication Cut & paste
63 P6.RD.JC.17031303
Level 3 PSLE
In the figure not drawn to scale, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB : BC is 3 : 1.
  1. What fraction of square ACEG is shaded?
  2. If the length of the square is 96 cm, find the unshaded area in cm2.
3 m
Fraction to units Ratio to units Area Perimeter Square Cut & paste
64 P6.AP.TL.17090709
Level 2
Find the perimeter of the shaded parts. (Take π = 3.14)
2 m
Square Circle
65 P6.AP.TL.17090716
Level 2
The circles are not drawn to scale. The small circle is with radius a and the big circle is with radius A. The ratio of a to A is 4 : 7. If the area of the small circle is 169π cm2, find A. Express the answer in mixed number.
2 m
Square & square root Circle Mixed numbers Ratio to units Units method
66 P6.AN.NK.21060908
Level 2 PSLE
In the figure ABCD is a square, AB = BE and ∠BAE = 75°. Find ∠BCE.
2 m
Right angle Square Isosceles triangle Angles sum of triangle
67 P6.FR.JC.17050718
Level 2
The figure is made up of a rectangle and a square. 79 of the square is unshaded and 16 of the rectangle is shaded. What fraction of the figure is shaded?
2 m
Fraction of a whole Fraction to units Area perimeter Square Rectangle Overlapping area Repeated identity Units table
68 P6.AP.TL.17090721
Level 2
A rectangle is placed in a circle with O as the centre. Use the calculator value of π to find the shaded part of the circle. Correct the answer to 1 decimal place.
2 m
Rectangle Square & square root Triangle Circle area Fraction of a whole D Place values D Round off
69 P6.AP.TL.17090729
Level 2
The figure shows a circle. O is the centre and the diameter XOY is 42 cm long. Each of the shaded part is formed by the radius of the big circle and 2 identical quarter arcs. Find the total area of the shaded parts in the figure. (Take π = 227)
2 m
Square Quarter circle
70 P6.AP.TL.17090726
Level 2
5 identical quarter circles were cut out from a square cardboard of length 18 cm. Find the area of the 5 quarter circles. Leave the answer in terms of π.
2 m
Square Quarter circle Length
71 P6.AP.TL.17090730
Level 2
The figure, not drawn to scale, consists of a rectangle ABFG, a square BCDF, and 2 identical quadrants AGE and BFD. AG = 8 cm and FG = 4 cm. Find the shaded area. (Take π = 227)
2 m
Square Rectangle Quarter circle Cut & paste
72 P6.AP.TL.17090728
Level 2
The figure is made up of 2 identical circles with centres O and L. OKLM is a square of sides 10 cm. Find the area of the shaded part.
2 m
Square Circle area Quarter circle
73 P6.AP.TL.17090715
Level 2
W, X, Y and Z are mid-points of the sides of the square. If the area of the square is 100 cm2, what is the area of the unshaded triangles? Leave your answer in mixed number.
2 m
Square Triangle Composite figure area Mixed numbers F 4 operations
74 P6.RD.JC.16010108
Level 3
This figure is not drawn to scale. It is made up of 3 squares. The ratio of the area of the smallest square to the largest square is 2 : 9 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest square?
3 m
Fraction of a whole Ratio to units Area perimeter Square Overlapping area Unchanged total Units table
75 P6.RD.TL.17042603
Level 3
The square is divided into 4 parts, W, X, Y and Z. W and X form 12 of the square. The area of Y is double of the area of Z, while the ratio of the area of X to the area of W is 1 : 3. What fraction of the square is the sum of the area of X and Y? Leave the answer(s) in the simplest form.
3 m
Fraction to units Ratio to units Area perimeter Square Times as many Unchanged total Units table Units manipulation
76 P6.RA.TL.17042609
Level 3
The figure is made up of two squares and a triangle. The ratio of the area of Triangle X to that of Square Z is 11 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 3. If the difference between areas of Triangle X and Square Y is 464 cm2, what is the area of Square Z?
3 m
Ratio to units Area Perimeter Unchanged total Units table
77 P6.AP.TL.17090738
Level 2 PSLE
The shaded figure is formed using 3 squares and 3 equilateral triangles. The length of the straight line PQ is 15 cm. Find the perimeter of the shaded figure.
2 m
Square Equilateral triangle Composite figure perimeter
78 P6.AN.NK.21060914
Level 2 PSLE
In the figure, EFGH is a square, FJKL is a rectangle and ∠GFL = 249°. Find ∠ EFJ.
2 m
Right angle Square Rectangle Angles at a point Overlapping angles
79 P6.AP.TL.17090743
Level 2
The figure is formed by 6 identical squares with 4 similar semi-circles cut out from it. Each square has a side of 14 cm. Find the perimeter of the shaded figure. Express the answer in terms of π.
2 m
Square Circumference Semicircle Composite figure perimeter
80 P6.AP.TL.17090742
Level 2
The figure is formed by 5 identical squares with 3 similar semi-circles cut out from it. Each square has a side of 14 cm. Find the perimeter of the shaded figure. Leave the answer in terms of π.
2 m
Length Square Circumference Semicircle Composite figure perimeter

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