Level 3
A room has dimensions 252 cm by 125 cm. Tiles with dimension 20 cm by 12 cm were arranged on the floor. What is the maximum number of complete tiles that can be placed on the floor?
4 m
Level 3
Figure ABCD is made up of 3 identical rectangles and a square. The perimeter of the whole figure ABCD is 80 cm. What is the area of the figure ABCD?
4 m
Level 3
In the figure, a rectangular piece of paper measuring 26 cm by 18 cm is folded at the Corner D in such a way that BD is 13 of its breadth. Find the area of Triangle ABD.
4 m
Level 3
Given that BC is longer than ED by 10 cm and CD = 42 cm. BC is 25 of AB and the total area of Triangle AHF and Triangle CHD is 1323 cm2. Find the area of the unshaded triangles.
4 m
Level 3
Melvina folded a rectangular piece of paper, coloured on one side, to form Figure X as shown . She cut out the folded part A and B into the shape as shown in Figure Y. Find the area of Figure Y.
4 m
Level 3
A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.
4 m
Level 3
A piece of paper is folded as shown. The ratio of ∠a to ∠b is 3 : 2.
  1. Find ∠a.
  2. Find ∠c.
4 m
Level 3
Mr Tan owned a rectangular piece of land, ABCD, as shown in the figure. A path of width 3 m was tiled around the pool and the garden. The area of the square pool was 196 m2 and the area of rectangular garden was 308m2. Find the area of the piece of land.
4 m
Level 3
The figure is made up of a rectangle and a square. Find the area of the figure.
4 m
Level 3
The rectangle is made up of some triangles. The three shaded triangles are identical. The perimeter of the rectangle is 84 cm. Its breath is 15 cm. Find the total area of the shaded triangles.
4 m
Level 3
The figure is not drawn to scale. ABCD is a rectangle. M is the midpoint of AB and N is the midpoint of DC. Given that AE = FD = BG = HC and EF = GH = 4 cm, Find the area of the shaded part.
4 m
Level 3
The figure shows a rectangle of area 108 cm2. Given that DE = EF = FC, find the total area of the shaded parts in the figure.
4 m
Level 3
In the figure, PQRS is a rectangle with a perimeter of 84 cm. PU, PR, TU and TR are straight lines. The length of PQ is twice the length of QR.
  1. What is the area of rectangle PQRS?
  2. Given that the area of triangle TRU is 91 cm2
    , find the area of triangle SPU.
4 m
Level 3
ABCD is a rectangle. BC is 48 cm and AB is twice of BC. Find the area of Triangle CXY.
4 m
Level 3
Six identical rectangular parcels are packed into a rectangular box with a width of 80 cm. The top view of two possible arrangements are shown below. The first arrangement shown leaves gaps of 23 cm and 15 cm. The second arrangement shown leaves a 34 cm gap. What is the length of the other gap in the second arrangement?
4 m
Level 3
In the figure, Rectangle PQRS is made up of 8 identical rectangles. OR = 16 cm and SU = UY. Find the area of Triangle SQU.
4 m
Level 3
The ratio of the area of Rectangle A to that of Rectangle B to that of Rectangle C is 5 : 4 : 3. 310 of Rectangle A and 16 of Rectangle C are shaded. The shaded area is 36 cm2. Find the total unshaded area of the figure.
4 m
Level 3
The figure shows overlapping a rectangle. Find the area of the shaded part.
4 m
Level 3
The figure, not drawn to scale, is made up of Rectangle A and Rectangle B overlapping each other. The area of Rectangle A is 34 the area of Rectangle B. Given that 14 of Rectangle A is shaded. What fraction of the total area of the figure is unshaded?
5 m
Level 3
Belle painted a letter 'N' on a piece of rectangular cardboard that has a length of 15 cm. The ratio of the length to the breadth of the cardboard is 5 : 4. Both triangles were identical. What area of the cardboard was painted?
5 m