Level 3
The figure shows a square ABEF and a rectangle BCDE. ∠CFE = 38°.
  1. Find ∠BHF.
  2. Find ∠AGC.
3 m
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
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
Level 3
The breadth of a rectangle is 14 as long as its length. The area is 100 cm2, find its perimeter.
3 m
Level 3
The figure shows a rectangle EFGH. ∠EHJ = 64° and ∠FHG = 34°. Find
  1. ∠FHJ
  2. ∠EFH
3 m
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
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
Level 3
The length of a rectangle is 4 times its breadth. The area is 64 cm2, find its perimeter.
3 m
Level 3
In the figure, TUVW is a square and WXYZ is a rectangle. ∠TWU = 45° and ∠VWZ = 74°. Find ∠k.
3 m
Level 3
The area of a rectangle is 72 cm2. Given that its length is twice its breadth, find its perimeter.
3 m
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
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
Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners D. ∠DFE = 67°. Find ∠CED.
3 m
Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners D. ∠DEF = 16°. Find ∠DEC.
3 m
Level 3
The figure shows a piece of rectangular paper ABCD folded at two of its corners C and D. ∠DFE is 6° larger than ∠CFG but it is half the size of ∠CFD. Find ∠CFD.
3 m
Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners A. ∠AEB is 4 times as large as ∠AEF. Find ∠AEB.
3 m
Level 3
The area of the shaded part in the rectangle is 40 cm2. Find the perimeter of the rectangle.
3 m
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
Level 3
A rectangular piece of paper, not drawn to scale, is folded as shown. What is the area of the piece of paper?
3 m
Level 3
A square of 1 cm is cut from each corner of a rectangle. What is the perimeter of the figure?
3 m