141 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
142 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
143 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
144 P4.AP.NK.23050833
Level 3
The figure is a square that is made up of 3 identical rectangles. The square has an area of 36 cm2. Find the perimeter of the shaded rectangle.
4 m
Length Square Rectangle Square & square root Units method
145 P4.WN.JC.17100407
Level 3
There are 42 boxes of cakes. 3 of these boxes are without ribbons. The ribbon used for each box is 12 cm long.
  1. How many of the boxes are with ribbons?
  2. What is the total length of the ribbons used for the boxes? (Give the answer in meters and centimeters.)
4 m
W 4 operations Length Unit conversion Model Part-whole
146 P4.AP.NK.23050831
Level 3
Figure ABCD is made up of eight identical rectangles. Each rectangle has a length of 18 cm.
  1. Find the perimeter of Figure ABCD.
  2. Find the area of Figure ABCD
4 m
Length Rectangle Rectilinear figure Tiling Units method
147 P4.WN.JM.17102325
Level 3
The length of a rope is 25 m longer than a string. The length of a wire is 13 m shorter than the rope. The total length of the rope, the wire and the string is 58 m. What is the length of the rope?
4 m
W 4 operations Length Model Comparison Units method
148 P4.AP.NK.23050832
Level 3
Ling Ling used 6 identical squares in Figure A to make a rectangular card as shown in Figure B. The perimeter of Figure A was 80 cm. What was the length of the card?
4 m
Length Square Rectangle Rectilinear figure Tiling Units method
149 P4.AP.JM.17100276
Level 3
The figure is made up of a square and a rectangle. It has an overall perimeter of 74 cm. The breadth of the rectangle is 34 as long as the length of the square. Given that the length of the rectangle is 16 cm, find the area of the whole figure.
4 m
Square Rectangle Rectilinear figure Composite figure area Fraction to units Units method
150 P4.AP.JM.17100277
Level 3
The figure is made up of 1 small square, 1 big square and 1 rectangle. It has an overall perimeter of 120 cm. The length of the rectangle is 4 times as long as its breadth. Find the area of the whole figure.
4 m
Square Rectangle Rectilinear figure Composite figure area Model Times-as-many Units method
151 P4.AP.JM.17100278
Level 3
The figure is formed from 2 rectangles and a square. The length of Rectangle R is twice that of Square S. The breadth of Rectangle R is 13 its length.
  1. Find the area of Rectangle T.
  2. Find the perimeter of the whole figure.
4 m
Square Rectangle Rectilinear figure Composite figure perimeter Composite figure area Fraction of a whole Model Times-as-many
152 P4.AP.JM.17100228
Level 3
The figure not drawn to scale is made up of a square and a rectangle. It has an overall perimeter of 56 cm. The length of the square is 23 as long as the length of the rectangle. Given that the breadth of the rectangle is 5 cm, find the area of the whole figure.
4 m
Square Rectangle Rectilinear figure Composite figure area Fraction to units Units method
153 P4.AP.NK.23050846
Level 3
The figure, not drawn to scale, is made up of 3 identical small squares within a larger square of length 12 cm. The perimeter of the unshaded portion of the figure is 40 cm. What is the area of the shaded portion of the figure?
4 m
Length Square Rectilinear figure Composite figure area
154 P4.AP.NK.23050826
Level 3
The figure shows Square X and Square Y inside Square ABCD. The area of Square Y is 49 cm2 and the area of Square ABCD is 81 cm2.
  1. Find the length of AE
  2. Find the area of the shaded region.
4 m
Length Square Square & square root Rectilinear figure Composite figure area
155 P4.AP.NK.23050825
Level 3
Jane painted a grey square on rectangle ABCD as shown. The length of BC is twice of EC. The length of AD is 12 of AB. Find the area of the unpainted part of the rectangle ABCD.
4 m
Square Rectangle Rectilinear figure Composite figure area Fraction to units Times as many Repeated identity Units table
156 P4.AP.JM.17100284
Level 3
After a rectangular piece of paper was cut into 18 squares of sides 4 cm each, a piece of L-shaped strip of paper was left as shown. Given that the length of the rectangular piece of paper is 26 cm, what is the perimeter of the rectangular piece of paper before it was cut?
4 m
Square Rectangle Tiling W Remainder
157 P4.AP.JM.17100281
Level 3
The figure is made up of identical rectangles. The length of the rectangle is twice of its breadth. The area of the figure is 256 cm2. What is the perimeter of the figure?
4 m
Square & square root Rectangle Rectilinear figure Times as many Units method
158 P4.AP.NK.23050838
Level 3
The figure, not drawn to scale, is made up of 3 squares, A, B and C. The length of one side of square A is twice the length of one side of square B. The length of one side of square B is twice the length of one side of square C. If the length of square B is 16 cm, find the area of the shaded parts of the figure.
4 m
Length Square Overlapping area Times as many
159 P4.WN.JM.17102336
Level 3
Mr Lim has three pieces of rope of length 80 cm, 140 cm and 180 cm. He wishes to cut the three pieces of rope into smaller pieces of equal length with no remainder.
  1. What is the greatest possible length of each of the smaller pieces of rope?
  2. How many of the smaller pieces of rope of equal length can he get?
4 m
HCF Min-max Length
160 P4.FR.JM.17101711
Level 3
Roger had some rope with a total length of 24 m. He used 23 of the rope to tie a wooden structure for outdoor cooking and 34 of the remaining rope to strengthen the pegs for his tent. How much rope did he have left? Give your answer in meters.
4 m
Fraction of a whole F 4 operations Length Remainder concept Branching

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