101 P4.AP.JM.17100182
Level 2
The rectangle and the square have the same perimeter. Find the length of the rectangle.
3 m
Square Rectangle Length
102 P4.AP.JM.17100114
Level 2
The figure is made up of two squares X and Y. The length of square X is equal to AO, and AO = OB. If the area of the shaded region is 9 cm2, find the length of square Y.
3 m
Length Square Square & square root Equal stage
103 P4.AN.JM.17092850
Level 3
The figure shows a square ABEF and a rectangle BCDE. ∠CFE = 38°.
  1. Find ∠BHF.
  2. Find ∠AGC.
3 m
Square Rectangle Vertically opposite angles Angles sum of triangle Exterior angle of a triangle
104 P4.AP.JM.17100145
Level 3
ABCD is a square made up of 2 squares and 2 rectangles. The squares have an area of 49 cm2 and 16 cm2 respectively. Find the area of ABCD.
3 m
Square Square & square root Rectangle Rectilinear figure
105 P4.AP.JM.17100236
Level 3
Figure A is a square with an area of 49 cm2. Figure B is a rectangle with breadth of 2 cm. Given that both figures have the same perimeter, find the area of Figure B.
3 m
Square Square & square root Rectangle Equal stage
106 P4.AP.JM.17100243
Level 3
A roll of wire can be bent to form either a rectangle (Figure A) or a square (Figure B). The breadth of the rectangle is 35 as long as its length. Given that Figure A has an area of 375 cm2, find the perimeter of Figure B.
3 m
Square Square & square root Rectangle Fraction to units Units method
107 P4.AN.JM.17092867
Level 3
The figure is made up of a square ABCD and a rectangle CEFG. ∠DCG is 75°. Find the sum of ∠BCG and ∠BAD.
3 m
Right angle Square Rectangle Overlapping angles
108 P4.AN.JM.17092868
Level 3
In the figure, TUVW is a square and WXYZ is a rectangle. ∠TWU = 45° and ∠VWZ = 74°. Find ∠k.
3 m
Right angle Square Rectangle Overlapping angles
109 P4.AP.JM.17100234
Level 3
The rectangle and square have the same area. The length of the rectangle is 4 times its breadth. What is the length of one side of the square?
3 m
Length Square Rectangle Square & square root Equal stage
110 P4.AN.NK.23041231
Level 3
The figure is made up of a square ABCD and a rectangle DEFG. ∠CDG = 69°. ∠x is twice of ∠y. Find ∠x.
3 m
Right angle Square Rectangle Overlapping angles Model Times-as-many Units method
111 P4.AN.JM.17092871
Level 3
The figure shows a piece of square paper ABCD folded at two of its corners B and D. Given that ∠CFD = 81° and ∠BEC = 78°, find ∠BCD.
3 m
Square Angles sum of triangle Overlapping angles Folded figure
112 P4.AP.NK.23050809
Level 3
Laura had 1 m of wire. She gave 0.64 m of the wire to Trevor and the remaining wire to Kathy. Trevor used the wire he received to form a square with no leftover. Kathy used the wire she received to form a triangle of equal sides, with no leftover. What was the difference in length between one side of the square and one side of the triangle?
3 m
Length Square Triangle More than or less than
113 P4.AP.JM.17100195
Level 3
A rectangular floor, 18 m by 9.5 m, is laid with rubber tiles at a cost of $29 per square metre.
  1. Find the cost of tiling the floor.
  2. Round off the answer in (a) to the nearest thousand dollars.
3 m
Rectangle Tiling W Round off Money
114 P4.AP.JM.17100247
Level 3
Figure A is a square with perimeter 64 m is folded into half as shown. What is the area of the new Figure B?
3 m
Folded figure Fraction of a whole
115 P4.AP.JM.17100248
Level 3
In the figure, ABCD is a square of area 81 cm2. What is the perimeter of the figure?
3 m
Square Triangle Composite figure perimeter
116 P4.AP.JM.17100201
Level 3
A square of 1 cm is cut from each corner of a rectangle. What is the perimeter of the figure?
3 m
Square Rectangle Rectilinear figure Composite figure perimeter
117 P4.AP.JM.17100164
Level 3
The figure is made up of rectangle ABGH and square CDEF. What is the total length of BC and GF?
3 m
Length Square Rectangle Rectilinear figure Composite figure perimeter
118 P4.AP.JM.17100206
Level 3
The figure is made up of 2 squares. The length of the smaller square is half the length of the bigger square. Given that the perimeter of the whole figure is 60 cm, find the length of the bigger square.
3 m
Length Square Rectilinear figure Composite figure perimeter Fraction to units Units method
119 P4.AP.JM.17100178
Level 3
The figure is made up of rectangle RSTU and squares PQYX and WYUV. The length of PQ is equal to the length of RS. The length of PX is twice the length of UV. Find the length of QR.
3 m
Length Square Rectangle Rectilinear figure Composite figure perimeter Equal stage Model Times-as-many Units method
120 P4.AP.JM.17100121
Level 2
Find the area of the shaded part.
3 m
Square Rectilinear figure Composite figure area

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