121 P4.AP.JM.17100231
Level 3
The figure shows 4 identical rectangles (not drawn to scale). The length of each rectangle is twice its breadth. Given that the breadth of each rectangle is 4 cm, find the perimeter of the figure.
3 m
Rectangle Tiling Rectilinear figure Composite figure perimeter Model Times-as-many Units method
122 P4.AP.NK.23050845
Level 3
Two rectangular mats, each 4 m by 6 m are placed on the floor as shown. The mats overlap and the area of the floor covered by the overlap is 8.4 m2. Find the length of AB.
3 m
Length Rectangle Rectilinear figure Overlapping area
123 P4.AP.NK.23050843
Level 3
The area of a rectangular sheet of paper ABCD is 108 cm2. It is then folded at a corner as shown below in Figure 2. Given that AD = 9 cm and AE = 4 cm.
  1. Find the length of CD.
  2. Find the perimeter of the unshaded part AEBCD.
3 m
Rectangle Triangle Overlapping area Folded figure
124 P4.FR.PR.17102409
Level 3
A construction worker welded 3 pipes of length 2 m 10 cm each together. This new pipe was only 35 of the length he needed. How long was the pipe he needed?
4 m
Fraction to units Length Unit conversion Model Part-whole Units method
125 P4.AP.JM.17100271
Level 3
5 poles are placed along the breadth of a rectangular field. The space between 2 poles is 50 m. If 10 poles are placed along the length of the rectangular field in the similar way, what is the perimeter of the rectangle? Give the answer in meters.
3 m
Rectangle Unit conversion Intervals
126 P4.FR.JM.17101732
Level 3
111 of a pole was painted red. 411 of it was painted blue. The remaining 30 cm of the pole was painted green.
  1. What fraction of the pole was painted green?
  2. What was the length of the pole?
4 m
F Addition & subtraction Fraction to units Length Units method
127 P4.DE.NK.22120623
Level 3
Perry bought a piece of rope and cut it into 3 pieces. The third piece was 2.5 m longer than the first piece. The second piece was 2.42 m shorter than the third piece.
  1. If the first piece was 10.29 m, find the length of the rope before it was cut.
  2. How much did Perry pay if each metre of the rope was $2?
4 m
D 4 operations Money Length Model Comparison
128 P4.FR.JM.17101690
Level 3
A rectangle is 15 cm long and 12 cm wide. 34 of the rectangle is shaded green and the rest is shaded blue. What is the area of the rectangle that is shaded blue?
4 m
F Addition & subtraction Fraction to units Length Area Perimeter Units method
129 P4.DE.NK.22120624
Level 3
The total length of a string, a rope and a ribbon is 42.7 m. The ribbon is 14 m longer than the string. The rope is 5 times as long as the string. Find the difference in length between the rope and the ribbon.
4 m
D 4 operations Length Times as many Model Comparison Model Times-as-many Units method
130 P4.FR.JM.17103186
Level 3
A piece of lace is 5 m long. April cuts 35 of the lace to tie a curtain. She then divides the remaining lace into 2 pieces; one piece is twice as long as the other. What is the length of the longer piece in metres?
4 m
Fraction to units F 4 operations Money Times as many Model Part-whole Units method
131 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
132 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
133 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
134 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
135 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
136 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
137 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
138 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
139 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
140 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

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