601 P6.AP.TL.17090836
Level 3
In the figure, WXYZ and XYML are squares. P and N are centres of square WXYZ and PQRS respectively. O is the centre of XY. If WL = 56 cm, take π = 227 and find
  1. the perimeter of the shaded region,
  2. the area of the shaded region.
4 m
Square Circumference Circle area Semicircle Composite figure perimeter Composite figure area
602 P4.AP.NK.23050802
Level 3
The figure is made up of Rectangle X and Square Y. Their total area is 73 cm2. The area of Rectangle X is 23 cm2 greater than Square Y. Find the area of Square Y.
4 m
Square Rectangle Rectilinear figure More than or less than Units method
603 P5.AP.NK.23012632
Level 3
The figure is made up of 3 different squares. Find the area of the shaded parts.
4 m
Square Triangle Composite area figure
604 P4.AP.NK.23050803
Level 3
The figure is made up of Square A and Rectangle B. The length of Square A is 4 cm. The area of Rectangle B is 6 times the area of Square A. What is the area of Rectangle B?
4 m
Square Rectangle Rectilinear figure Times as many Units method
605 P5.AP.NK.23022713
Level 3
The figure, not drawn to scale, is made up of identical small squares and big squares. The length of the small and big squares are 10 cm and 20 cm respectively. Find the area of the shaded parts.
4 m
Square Rectilinear area Triangle Composite figure area
606 P5.AP.JM.17083192
Level 3
The figure is made up of 6 identical triangles. Given that the perimeter of Square EFGH is 72 cm, Find the area of the whole figure.
4 m
Square Triangle Composite figure area
607 P4.AP.JM.17100120
Level 3
A, B, C and D are identical rectangles. What is the perimeter of the shaded part?
4 m
Length Square Rectangle Rectilinear figure
608 P6.AP.NK.21060421
Level 3 PSLE
The figure is formed by two identical circles at W and Y. WYXZ is a square and the length of XY is 14 cm. (Take π = 3.14)
  1. Find the perimeter of the unshaded part.
  2. Find the total area of the shaded parts.
4 m
Square Circle area Circumference Composite figure perimeter Composite figure area
609 P5.AP.JM.17083194
Level 3
4 identical right-angled triangles are used to form a square as shown.
  1. What is the area of square ABCD?
  2. What is the length of Square ABCD?
4 m
Square Right-angled triangle Composite figure area
610 P4.AP.NK.23050835
Level 3
The figure shows a square frame that is made up of 4 identical rectangles. The length of each rectangle is three times of its breadth. The perimeter of the frame is 96 cm. Find the shaded area.
4 m
Length Square Rectangle Rectilinear figure Times as many
611 P5.AP.NK.23012633
Level 3
The figure shows a big square that is made up of a small square with area 16 cm2 and 8 right-angled triangles with a base of 3 cm.
  1. Find the height of each triangle.
  2. Find the area of the big square.
4 m
Square Right-angled triangle Composite figure area
612 P4.AP.NK.23050836
Level 3
4 identical rectangles are arranged as shown. XY is 13 cm and the unshaded area Square ABCD is 81 cm2. Find the breadth of the rectangle.
4 m
Length Square Rectangle Square & square root Rectilinear figure
613 P4.AP.NK.23050837
Level 3
The figure is formed by 4 identical shaded rectangles and an unshaded square. The area of the unshaded square is 49 cm2. Find the total area of the 4 shaded rectangles.
4 m
Length Square Rectangle Square & square root Rectilinear figure
614 P4.AP.NK.23050839
Level 3
The figure, not drawn to scale, is made up of a square and three rectangles. The square has an area of 81 cm2. What is the area of Rectangle X?
4 m
Length Square Rectangle Square & square root Rectilinear figure
615 P4.AP.NK.23050840
Level 3
The figure, not drawn to scale, is made up of 2 squares and 2 rectangles. What is the area of Rectangle A?
4 m
Length Square Rectangle Square & square root Rectilinear figure
616 P5.AP.JM.17083210
Level 3
ABFG is a square. The length of CD is 35 of BF and the area of BCDE is 864 cm2. Given BC = EF, Find the area of the shaded parts.
4 m
Square Composite figure area Fraction to units Units method
617 P5.AP.JM.17083226
Level 3
The diagram shows a park which comprises the picnic area and the fountain area. The cost of building the picnic area covering the whole area of Square ABCD is $20 per square metre and the cost of fencing the fountain area is $12 per metre. Given that FH is 250 m, AB is 38 of GK and FE is 150 m, find
  1. the cost of building the picnic area.
  2. the cost of fencing the fountain.
4 m
Composite figure area Money Fraction to units Units method
618 P4.AP.JM.17100242
Level 3
The figure, not drawn to scale, shows Square X and Square Y inside Square ABCD. The area of Square Y is 49 cm2 and the area of Square ABCD is 144 cm2.
  1. Find the length of one side of Square X.
  2. Find the perimeter of the shaded region.
4 m
Length Square Square & square root
619 P6.AP.JC.23031301
Level 3 PSLE
Tom designed a logo as shown. The logo is made up of 2 small identical quarter circles, a large quarter circle and 2 straight lines drawn inside a square of side 42 cm. The radius of each small quarter circle is 14 cm.
  1. What is the perimeter of the shaded part?
  2. What is the area of the shaded part?
4 m
Square Quarter circle Composite figure perimeter Composite figure area Boomerang
620 P4.AP.JM.17100239
Level 3
Figure A is a rectangle with an area of 192 cm2. The breadth of the rectangle is 34 as long as its length. Figure B is a square. Given that both figures have the same perimeter, find the area of Figure B.
4 m
Square Square & square root Rectangle Fraction to units Equal stage Units method

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