101 P6.AP.NK.21060426
Level 3 PSLE
A path of length 28 m is completely covered with identical tiles, following the pattern shown. The width of the path is 70 cm. How many tiles were used to cover the entire path?
3 m
Rectangle Tiling Unit conversion
102 P6.AP.NK.21060428
Level 3 PSLE
Figure 1 shows a square tile made up of 2 grey squares, A and B and 2 identical white rectangles C. The length of 1 side of square A is twice the length of 1 side of square B.
  1. What fraction of the square tile in Figure 1 is grey?
  2. Figure 2 shows a wall laid with square tiles. The wall is 9 m by 9 m and is completed covered with square tiles. Find the total area of the wall covered by grey squares.
3 m
Square Rectangle Cut & paste Tiling Fraction of a whole
103 P6.AP.TL.17090772
Level 3
The figure is made up of 16 square tiles. What fraction of the figure is shaded? Give the answer in the simplest form.
3 m
Square Triangle Tiling Fraction of a whole F Simplest form
104 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
105 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
106 P6.AP.TL.17090780
Level 3
In the diagram shown, 23 identical rubber balls were placed between two walls with equally spaced gaps between them. The first rubber ball and the last rubber ball were touching the front wall and last wall respectively. Given that the distance between the two walls was 399 cm and that the radius of a rubber ball was 7 cm. Find the length of the gap between any two adjacent rubber balls as shown.
3 m
Length Circle Circumference Distance apart
107 P6.AP.TL.17090779
Level 3
Tom built a car using two identical wheels of radius 2.9 cm each as shown. The distance between the centres of the two wheels is 59.2 cm. He rolled the car from one end of the room to the other end touching walls at both ends. The distance between the two walls is 11.2 m. How many complete revolutions did each wheel make? Take π = 3.14.
3 m
Circle Circumference Unit conversion Distance apart
108 P6.AP.TL.17090778
Level 3
One part of a car wheel was stained with paint on its surface. The diagram showed the tyre marks made by the car wheel when the vehicle moved through a certain distance. Find the radius of the car wheel. Round off the answer to 2 decimal place. (Take π = 227)
3 m
Circumference Distance apart Units & parts
109 P6.AP.TL.17090781
Level 3
The figure is formed by a circle and an isosceles triangle XYZ. The diameter of the circle is 56 cm. Find the difference in area between the two shaded parts. (Take π = 227)
3 m
Isosceles triangle Semicircle Circle area
110 P6.AP.TL.17090782
Level 3
The figure shows 4 identical circles in a square, WXYZ. The area of the square is 16 cm2. Find the area of the shaded part. (Take π = 3.14)
3 m
Length Square & square root Circle area
111 P6.AP.TL.17090769
Level 3 PSLE
LOPQ is a rectangular cardboard with LQ = 7 cm. Two quarter circles have been cut from it as shown. The remaining cardboard, which is the shaded part, has an area of 56 cm2. Using π = 227, find the length of MN.
3 m
Length Rectangle Quarter circle Composite figure perimeter
112 P6.AP.TL.17090791
Level 3
The figure, not drawn to scale, is made up of semicircles in a rectangle ABCD. XY is the common baseline for all the semi-circles.
  1. Find the length of AB.
  2. Using the calculator π, find the perimeter of the shaded parts. Give the answer correct to 2 decimal places.
3 m
Length Rectangle Semicircle Composite figure perimeter D Place values D Round off
113 P6.AP.TL.17090783
Level 3
Find (a) the perimeter and (b) the area of the figure. (Take π = 227)
3 m
Square Semicircle Composite figure perimeter Composite figure area
114 P6.AP.TL.17090786
Level 3
The figure is not drawn to scale. It is made up of 2 concentric circles. O is the centre of the circles. OA is 7cm and OF is 5cm. OA, OB, OC, OD and OE cut the circles into 5 identical parts. Find the area of the shaded part. (Take π = 3.14)
3 m
Circle Circle area Composite figure area
115 P6.AP.TL.17090789
Level 3
A garden path is to be cemented at $14 per m?. The inner circle has a radius of 60 m and the track is 30 m wide. What is the cost of cementing the track? Round off the answer to the nearest $1000. (Take π = 3.14)
3 m
Circle Circle area Composite figure area W Round off Money
116 P6.AP.TL.17090788
Level 3
The figure is not drawn to scale. It has 4 big semicircles with diameter 100 cm each and 5 small semicircles with diameter 48 cm. What is the area of the shaded figure? Take π = 3.14
3 m
Circle area Semicircle Composite figure area
117 P6.AP.TL.17090784
Level 3 PSLE
In the figure, the square LMNO is made up of two parts, X and Y. The part, X, is formed by a semicircle and the line LM. The perimeter of X is 36 cm and the perimeter of the shaded part, Y, is 64 cm.
  1. Find the perimeter of the square LMNO.
  2. Find the area of the shaded part Y. (Take π =227)
3 m
Square Semicircle Composite figure area Units & parts Elimination
118 P6.AP.TL.17090795
Level 3
The figure shown is formed by cutting out three identical quadrants from three identical squares. Find the area of the figure. (Take π = 227)
3 m
Square Quarter circle Composite figure area
119 P6.AP.TL.17090797
Level 3
In the figure, WXYZ is a rectangle. h = 20 cm, WX = 30 cm, XY = 24 cm. Find the area of the shaded parts.
3 m
Rectangle Triangle Composite figure area
120 P6.AP.TL.17090802
Level 3
MNO and NOP are two identical equilateral triangles. MN = NY and PO = OZ.  Given that MP = 42 cm and YZ = 72 cm, find the total unshaded areas.
3 m
Equilateral triangle Composite figure area

5 per page

10 per page

20 per page

Symbols

STUDENT
Navigations
Contact Us
Members
Links