91 P6.PA.JC.17111305
Level 3
Some patterns of shaded and unshaded small triangles is given. The unshaded triangles are those which have at least one side on the edge of the big triangle. All of the other small triangles are shaded. The table below shows numbers of small triangles.
  1. Find the total number of triangles in Pattern 80.
  2. Find the number of shaded triangles in Pattern 40.
  3. Find the number of unshaded triangles in Pattern 50.
3 m
Repeated patterns Square numbers
92 P6.AP.TL.17090750
Level 2
The shaded figure is made up of 4 quarter arcs of radius 12 cm. Find its area. (Take π = 3.14)
2 m
Right-angled triangle Circle area Quarter circle Composite figure area
93 P6.AP.TL.17090756
Level 2
The figure is formed using four identical isosceles triangles. AGD, AFB, BEC and CHD. ABCD is a square where E, F, G and H are midpoints of its sides. Given FJ = CJ, HK = BK and AD = 14 cm, find the total area of the shaded parts.
2 m
Square Isosceles triangle Composite figure area Cut & paste
94 P6.AP.TL.17090757
Level 2
The figure is formed by a circle and an isosceles triangle where PQ = PR. The radius of the circle is 14 cm. Find the area of the shaded part. (Take π = 227)
2 m
Isosceles triangle Right-angled triangle Circle Semicircle Composite figure area Cut & paste
95 P6.AP.NK.21060431
Level 3 PSLE
Figure ABCDE has an area of 42 cm2. ABD and CBE are straight lines. Find the area of the shaded triangle BDE.
2 m
Triangle Composite figure area Overlapping area
96 P6.AG.JC.15051409
Level 2 PSLE
Jasmine had a piece of ribbon 17p cm long. She formed a triangle, with sides measuring p cm, 5p cm and 30 cm, with part of the wire.
  1. Express the length of the remaining ribbon in terms of p in the simplest form.
  2. Jasmine used the remaining ribbon to form a rectangle of length 3p cm. If p = 8, what was the breadth of the rectangle?
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area perimeter Rectangle
97 P6.SP.TL.18012222
Level 2
Tony drove a distance of 15 km in 10 minutes.
  1. What was his speed in km/h?
  2. How long will it take him to cover 360 km at this speed? Express the answer in hours.
3 m
DST triangle Average speed Unit conversion Duration
98 P6.AP.NK.21060432
Level 3 PSLE
In the figure, ABC and XZY are identical right-angled triangles. The total area of the shaded parts is 96 cm2. Find the area of the unshaded part.
2 m
Right-angled triangle Composite figure area Overlapping area
99 P6.SP.TL.18012224
Level 2
A van covers a distance of 45 km in 25 minutes.
  1. At what speed is it travelling?
  2. How long will it take to cover a distance of 36 km?
3 m
DST triangle Average speed Unit conversion Duration
100 P6.AP.JC.22050403
Level 3
In the figure, ABC and ADE are right-angled isosceles triangles. BD = CE = 2 cm. The shaded area is 22 cm2. Find the length of AC.
2 m
Length Isosceles triangle Right-angled triangle Overlapping area

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