501 P4.AP.JM.17100274
Level 3
Mr lmran had a rectangular garden with a perimeter of 48 m. The length of the garden was twice its breadth. He decided to build a pebbled pathway with a width of 2 m around the garden. Find the area of the pebbled pathway .
4 m
Rectangle Model Times-as-many Units method
502 P6.AP.TL.17090793
Level 3
The figure shows a rectangular park which consists of 1 pavilion in a semi-circle shape and a pond. 4 quarter circles make up the shape of the pond. The length and breadth of the rectangle are 80 m and 44 m respectively.
  1. Find the perimeter of the pond.
  2. Find the area of the shaded part. (Take π = 3.14).
4 m
Rectangle Circumference Semicircle Quarter circle Composite figure perimeter Composite figure area
503 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
504 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
505 P4.FR.JM.17101720
Level 3
A snail is climbing to the top of a wall. It starts from the bottom of the wall and after climbing 25 of the height of the wall, it begins to rain. During the rain, the snail slips down 2 m. When the rain stops, the snail climbs up the remaining 710 of the height of the wall to reach the top of the wall. Find the height of the wall.
4 m
F Addition & subtraction Fraction to units Length Units method
506 P4.AP.JM.17100270
Level 3
The figure is made up of 4 identical rectangles, A, B, C and D. The perimeter of rectangle A is 72 cm.
  1. What is the breadth of rectangle B?
  2. Find the area of rectangle C.
4 m
Length Rectangle Rectilinear figure Units method
507 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
508 P6.AP.TL.17090838
Level 3
In the figure. WXYZ is a rectangle. The ratio of the length of PX to the length of WX is 2 : 3. Q is the mid-point of XZ. The area of rectangle WXYZ is 192 cm2. What is the area of the shaded part?
4 m
Rectangle Triangle Cut & paste Ratio to units
509 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
510 P6.AP.TL.17090839
Level 3
The diagram shows 3 identical circles embedded in a rectangle. Given that the length of the rectangle is 18 cm, find the total area of the shaded parts. Use calculator π. (Give the answer correct to 2 decimal places)
4 m
Rectangle Triangle Circle Semicircle Quarter circle Composite figure area Cut & paste
511 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
512 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
513 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
514 P5.AP.NK.23022717
Level 3
In the figure, PQRS is a rectangle with a perimeter of 84 cm. PU, PR, TU and TR are straight lines. The length of PQ is twice the length of QR.
  1. What is the area of rectangle PQRS?
  2. Given that the area of triangle TRU is 91 cm2
    , find the area of triangle SPU.
4 m
Rectangle Triangle Composite figure area Times as many Units method
515 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
516 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
517 P6.AP.NK.21060422
Level 3 PSLE
The figure shows a path of width 3 m in a rectangular park of length 42 m. The outline of the path is made up of quarter circles with centre A, semicircles with centre D and straight lines. AB = CD.
  1. What is the width of the rectangular park?
  2. Find the area of the path. Take π = 3.14.
4 m
Length Rectangle Semicircle Quarter circle Composite figure area Boomerang
518 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
519 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
520 P4.AP.NK.23050841
Level 3
The figure is made up of 4 rectangles. The lengths and breadths of each rectangle are in whole numbers. Find the area of the shaded rectangle.
4 m
Length Rectangle Rectilinear figure Common factors

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