551 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
552 P6.PA.JC.17111327
Level 3
The three diagrams show the highest number of intersections obtained from 2, 3 and 4 lines respectively.
  1. What is the highest number of segments for 10 straight lines?
  2. What is the maximum number of intersections obtained from 30 straight lines?
  3. What is the maximum number of regions obtained by using 40 straight lines?
5 m
Square numbers Sum of consecutive
553 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
554 P6.PA.JC.17111328
Level 3
Squares of sides 2 cm are arranged to create a pattern as shown.
  1. Find the number of squares needed for Figure 20.
  2. Find the area of Figure 10.
  3. Find the perimeter of Figure 40.
5 m
Equal intervals Sum of consecutive Times sum of consecutive Area Perimeter Square
555 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
556 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
557 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
558 P6.AP.TL.17090773
Level 3
The figure shows a square that is cut out from a big triangle. The area of the triangle and that of the square are whole numbers. Both the height and the base of the triangle are equal. If the shaded area is 73 cm2, find
  1. The length of the square
  2. The base of the triangle
3 m
Length Square Square & square root Triangle Guess & check
559 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
560 P3.AP.JM.17102352
Level 3
Thomas formed Figure A by using 6 identical rectangles.
  1. Find the area of Figure A.
  2. Thomas then added 3 identical squares to form Figure B as shown. Find the area of Figure B.
4 m
Square Rectangle Rectilinear figure Composite figure area

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