81 P4.AN.JM.17092831
Level 3
HJKM is made up of two squares. What is ∠HLJ?
3 m
Right angle Square
82 P4.AP.JC.18012093
Level 3
The figure is made up of a rectangle and a square of side 7 cm. Find the area of the shaded part.
3 m
Square Rectangle Equal stage
83 P4.AN.JM.17092830
Level 3
In the figure, STUV is a square. Find ∠b.
3 m
Right angle Square
84 P4.AP.JM.17100170
Level 3
A square has the same perimeter as the rectangle shown. Find the area of the square.
3 m
Square Rectangle Equal stage
85 P4.AP.JM.17100186
Level 3
The figure shows a big square of side 14 cm. Four small 3 cm squares are cut out from the four corners of the big square. Find
  1. the perimeter of the figure,
  2. the area of the remaining figure.
3 m
Square Rectangle Composite figure perimeter Composite figure area
86 P4.PA.JM.17092426
Level 3
Study the table carefully.
  1. How many dots are there in Figure 5?
  2. How many dots are there in Figure 10?
  3. If there are 36 dots, what is the figure number?
4 m
Square numbers Table
87 P4.AP.JM.17100187
Level 3
The figure shows a big rectangle measuring 14 cm by 10 cm. Four small squares of side 2 cm are cut out from the four corners of the big rectangle. Find
  1. the perimeter of the figure,
  2. the area of the remaining figure.
3 m
Square Rectangle Composite figure perimeter Composite figure area
88 P4.PA.JM.17092428
Level 3
Darryl was drawing a pyramid-like structure as shown. It consists of shaded and unshaded rectangles. The rest of the structure follows the same pattern.
  1. How many shaded rectangles are there in Row 9?
  2. In which row would there be 37 rectangles?
  3. Darryl had drawn a total of 144 rectangles. How many shaded rectangles were there in the drawing?
4 m
Repeated patterns Square numbers Units method
89 P4.AP.JM.17100188
Level 3
The figure shows a rectangle of breadth 10 cm and 4 similar squares of side 4 cm. The area of the shaded part is 286 cm2.
  1. What is the length of the rectangle?
  2. What is the perimeter of the rectangle?
3 m
Length Square Rectangle Composite figure perimeter
90 P4.PA.NK.23042605
Level 3
The patterns are made up of identical shaded and identical unshaded squares.

  1. Find the total number of squares in Pattern 4.
  2. Find the number of unshaded squares in Pattern 4.
  3. Which Pattern Number has a total of 100 squares?
4 m
Square numbers
91 P4.PA.JM.17092427
Level 3
Study the pattern. Each figure is made up of identical squares.
  1. What fraction of Figure 1 is shaded? Express your answer in the simplest form.
  2. What is the number of shaded squares in Figure 4?
  3. What is the number of unshaded squares in Figure 8?
4 m
Equal intervals Square numbers Fraction of a whole
92 P4.AP.JM.17100167
Level 3
The square on the right has the same perimeter as the rectangle on the left. Find the area of the square.
3 m
Square Rectangle Equal stage
93 P4.AP.JM.17100184
Level 3
Figure A is a square with a perimeter of 56 cm. Figure B is a rectangle with breadth of 7 cm. Given that both figures have the same area, find the perimeter of Figure B.
3 m
Square Rectangle Equal stage
94 P4.AP.JM.17100191
Level 3
The same amount of paint can be used to paint either a square (Figure A) or a rectangle (Figure B). Figure A has a perimeter of 64 cm while Figure B has a breadth of 8 cm. Find the perimeter of Figure B.
3 m
Square Rectangle Equal stage
95 P4.AP.JM.17100185
Level 3
The figure is made up of a square and a rectangle. The side of the square is 9 cm. The perimeter of the figure is 108 cm. What is the length of the rectangle?
3 m
Length Square Rectangle Rectilinear figure
96 P4.AP.JM.17100193
Level 3
The figure is made up of Squares A and B and Rectangle C. Find the length of Square A.
3 m
Length Square Rectangle Units method
97 P4.AP.JM.17100183
Level 3
The diagram shows square X and rectangle Y. The length of rectangle Y is 9 cm longer than its breadth. The breadth of rectangle Y is the same as the length of square X. The perimeter of square X is 56 cm. Find the area of rectangle Y.
3 m
Length Square Rectangle Equal stage Model Comparison
98 P4.AP.JM.17100175
Level 3
A square of side 6 cm has the same perimeter as a rectangle. Find the area of the rectangle if the length of the rectangle is twice the breadth of the rectangle.
3 m
Square Rectangle Equal stage Model Times-as-many Units method
99 P4.AP.JM.17100192
Level 3
The figure is made up of a shaded rectangle inside a square. The length of the square is 10 cm and its area is 5 times the area of the shaded rectangle. What is the breadth of the shaded rectangle if its length is 12 the length of the square?
3 m
Square Rectangle Fraction of a whole Model Times-as-many
100 P4.AN.JM.17092854
Level 3
The figure shows 2 squares ABCD and BECF. ∠GCF is twice as large as ∠GCB.
  1. Name the line that is parallel to AC.
  2. Find ∠FGC.
3 m
Square Angles sum of triangle Model Times-as-many Units method

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