21 P6.AP.NK.21060429
Level 3 PSLE
The pattern on the tile ABCD shows squares of different sizes. AF = FE and AE = ED.
  1. What fraction of the tile ABCD is shaded?
  2. Figure 2 is made up of four such tiles. The area of the unshaded part of Figure 2 is 80 cm2. What is the total area of the shaded parts in Figure 2?
3 m
Square Tiling Overlapping area Fraction of a whole
22 P6.AP.TL.17090775
Level 3 PSLE
Six identical rectangular boxes can be stacked into a cupboard 0.9 m wide. Two arrangements are shown. The first arrangement in Figure A leaves a 42 cm gap at the top. The second one in Figure B leaves a 10 cm gap at the top and another gap at the side.
  1. In the arrangement shown in Figure B, what is the width of the gap at the side in m?
  2. What is the height of the cupboard in metres?
3 m
Length Rectangle Rectilinear figure Tiling Unit conversion Units equations
23 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
24 P5.AP.JM.17083170
Level 2
The figure is made up of similar rectangles. Each rectangle measures 5 cm by 2 cm. Find the perimeter of the figure.
3 m
Rectangle Rectilinear figure Tiling Composite figure perimeter
25 P5.AP.JM.17083116
Level 2
The figure is made up of identical rectangles. Find the area of the shaded rectangle.
3 m
Rectangle Rectilinear figure Tiling Composite figure area Units method
26 P4.AP.JM.17100252
Level 3
How many pieces of square grass carpets, each of side 4 m long, are needed to cover a rectangular field of length 48 m and breadth 25 m?
3 m
Square Tiling W Remainder
27 P4.AP.JM.17100253
Level 3
Brian wanted to cut small identical 3 cm by 2 cm rectangles from a rectangular cardboard measuring 26 cm by 18 cm. What is the maximum number of complete small rectangles Brian could cut? (Note: Brian could rotate the small rectangle.)
3 m
Rectangle Tiling Min-max
28 P4.AP.JM.17100255
Level 3
What is the maximum number of rectangles each measuring 3 cm by 2 cm that can be cut from a cardboard measuring 48 cm by 22 cm?
3 m
Rectangle Tiling Min-max
29 P4.AP.NK.23050816
Level 3
The diagrams show a rectangular cardboard X and a square Y.
Abel cut as many squares Y as he could from rectangular cardboard X.
The remaining part of the rectangular cardboard X is shown in Figure 1.
  1. What is the length of AB as shown in Figure 1?
  2. What is the greatest number of squares Y that Abe could cut from a rectangular cardboard X?
3 m
Square Rectangle Tiling W Remainder Min-max
30 P4.AP.JM.17100254
Level 3
What is the maximum number of squares of side 4 cm that can be cut from a rectangle measuring 81 cm by 74 cm?
3 m
Square Rectangle Tiling W Remainder Min-max
31 P4.AP.JM.17100256
Level 3
Adrian wants to cut some 3-cm squares from a piece of rectangular paper shown. What is the greatest number of squares he can cut out?
3 m
Square Rectangle Tiling W Remainder Min-max
32 P4.AP.JM.17100246
Level 3
A rectangular floor tile has a pattern formed by 3 identical small rectangles as shown. The length of the tile is 18 cm. What is the floor space we can cover with 50 such tiles?
3 m
Rectangle Tiling Units method
33 P4.AP.JM.17100245
Level 3
A rectangular floor tile has a pattern formed by 3 identical small rectangles as shown. The length of the tile is 18 cm. If we want to lay them side by side as shown to occupy a length of 324 cm, how many tiles do we need?
3 m
Rectangle Tiling Units method
34 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
35 P4.AP.JM.17100232
Level 3
The figure is made up of 6 identical rectangles with no overlapping parts. Each rectangle has a perimeter of 12 cm. Find the perimeter of the figure.
3 m
Rectangle Tiling Rectilinear figure Composite figure perimeter Units method
36 P4.AP.JM.17100231
Level 3
The figure shows 4 identical rectangles (not drawn to scale). The length of each rectangle is twice its breadth. Given that the breadth of each rectangle is 4 cm, find the perimeter of the figure.
3 m
Rectangle Tiling Rectilinear figure Composite figure perimeter Model Times-as-many Units method
37 P4.AP.JM.17100197
Level 3
A feature wall is covered by 10 identical small rectangular boards as shown. The height of the wall is 200 cm. What is the area of the feature wall?
3 m
Rectangle Tiling Rectilinear figure Units & parts Substitution
38 P6.AP.TL.17090819
Level 3 PSLE
The figure shows a rectangular grass patch and an L-shaped footpath. The width of the footpath is 100 cm. The footpath is tiled using 38 circular tiles of diameter 50 cm, following the pattern shown. Each tile is in contact with those next to it.
  1. What is the area of the footpath not covered by the tiles? Take π = 3.14.
  2. What is the perimeter of the grass patch?
4 m
Square Rectangle Circle Area Tiling
39 P6.AP.NK.21060427
Level 3 PSLE
The figure shows a right-angled triangle.
  1. Find the area of the triangle.
  2. Bruce wants to cut such triangles from a rectangular piece of cardboard 50 cm by 80 cm. At most, how many of such triangles can he cut?
4 m
Rectangle Right-angled triangle Tiling Min-max
40 P5.AP.NK.23012624
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
Square Rectangle Tiling Min-max W Remainder

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