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

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