151 P4.AP.JM.17100265
Level 3
Two identical squares overlap each other to form the figure shown. A and B are the centres of squares X and Y respectively. What fraction of the figure is shaded?
3 m
Square Overlapping area Fraction of a whole
152 P4.AN.JM.17092872
Level 3
The figure shows a piece of square paper ABCD folded at two of its corners A and C. ∠AED is 3 times as large as ∠ADE and ∠CDF is 6° smaller than ∠ADE. Find ∠ADC.
4 m
Square Angles sum of triangle Overlapping angles Model Comparison Model Times-as-many Units method
153 P4.AP.JM.17100272
Level 3
Adam used 4 similar rectangular strips to form a square. If the perimeter of the square is 64 cm, what is the perimeter of a rectangular strip of paper?
3 m
Square Rectangle Rectilinear figure Units method
154 P4.AP.JM.17100189
Level 3
Stanley used 3 similar rectangles and 2 similar squares to make the figure shown (not drawn to scale).
  1. Find the area of A.
  2. Find the area of the figure.
3 m
Square Rectangle Rectilinear figure
155 P4.AP.JM.17100168
Level 3
The figure is made up of 8 identical 3 cm squares and 2 identical rectangles. Find the area of the shaded rectangle.
3 m
Square Rectangle Rectilinear figure Units method
156 P4.AP.JM.17100163
Level 3
The figure is made up of 5 identical squares. The total area of the figure is 80 cm2. Find its perimeter.
3 m
Square Square & square root Rectilinear figure Composite figure perimeter
157 P4.AP.JM.17100235
Level 3
The figure is made up of 3 identical squares and a rectangle. The area of each square is 64 cm2. The breadth of the rectangle is 5 cm. Find the perimeter of the figure.
3 m
Square Square & square root Rectangle Rectilinear figure
158 P4.AP.JM.17100241
Level 3
The figure is made up of 3 rectangles A, B and C and square D. Rectangle A and Rectangle B are identical. Rectangle A has a breadth of 11 cm. The area of Square D is 81 cm2. What is the perimeter of Rectangle C?
3 m
Square Square & square root Rectangle Rectilinear figure
159 P4.AP.JM.17100141
Level 2
Figure A is made up of 2 identical squares. Figure B has the same perimeter as Figure A. Find the length of one square in Figure A.
3 m
Length Square Rectangle Rectilinear figure Composite figure perimeter Equal stage
160 P4.AP.JM.17100224
Level 3
The figure is made up of three identical squares of side 8 cm.
  1. Find the area of the figure.
  2. Find the perimeter of the figure.
3 m
Square Tiling Rectilinear figure Composite figure perimeter Composite figure area

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