81 P6.AN.JC.23030117
Level 2 PSLE
A rectangular piece of paper is folded to form a trapezium ABCD. The two shaded triangles are identical. Find ∠x.
2 m
Right angle Rectangle Trapezium Angles on a straight line Angles sum of triangle Angles at a point Overlapping angles Folded figure
82 P6.AP.TL.17090744
Level 2 PSLE
Anna has a square piece of paper FGHJ of side 21 cm. She cut along the dotted lines shown in Figure 1 to get one small square of area 9 cm2 and 8 identical right-angled triangles. Triangle KLM in Figure 2 is one such triangle. Find the length of KM.
2 m
Length Square Square & square root Right-angled triangle Composite figure area
83 P6.AN.NK.17050212
Level 2
In the figure, not drawn to scale, O and C are the centres of the circles. AC is a straight line. Find ∠z.
2 m
Circle Exterior angle of a triangle Sum of angles in a quadrilateral
84 P6.AN.NK.17051713
Level 2
Find the sum of ∠m, ∠n, ∠p, ∠l and ∠k.
2 m
Angles sum of triangle Sum of angles in a quadrilateral
85 P6.AN.NK.17051714
Level 2
In the figure, ABC and XYZ are equilateral triangles and ∠BGX = 84°. Find ∠CHZ.
2 m
Equilateral triangle Angles on a straight line Sum of angles in a quadrilateral
86 P6.AP.TL.17090713
Level 2 PSLE
In the figure, ABDF and BCEF are rectangles and CDE is a straight line. AB = 6 cm, AF = 8 cm and BF = 10 cm. Find the length of BC.
2 m
Length Rectangle Right-angled triangle Composite figure area
87 P6.AP.TL.17090751
Level 2
The figure is not drawn to scale. Given that GL = GP, NM = 18 cm and the area of GHJK is 45 cm2, find the area of the shaded parts.
2 m
Triangle Composite figure area
88 P6.AP.TL.17090714
Level 2 PSLE
In the figure, MN = 7 cm, NO = 9 cm, OP = 3 cm and PM = 11 cm. ∠MNO and ∠OPM are right angles. Find the area of the figure MNOP.
2 m
Right-angled triangle Composite figure area
89 P6.AN.NK.17052105
Level 2
The figure, not drawn to scale, shows a regular 5-point star and ∠a = ∠b = ∠c = ∠d = ∠e.
  1. Express ∠f as a sum of two angles. Give the answers in equation. (Eg ∠a + ∠b)
  2. lf ∠e = 32°, find ∠f.
2 m
Angles sum of triangle in a star Exterior angle of a triangle
90 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
91 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
92 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
93 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
94 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
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.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
97 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
98 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
99 P6.AP.TL.17090785
Level 3
Two identical right-angled triangles overlap each other as shown. Find the area of the shaded part.
2 m
Rectangle Right-angled triangle Overlapping area
100 P6.AP.TL.17090758
Level 2
X, Y and Z are centres of three identical circles. The length of XY is 7.2 m. XY, YZ and XZ are equal in length. Find the shaded area of the figure. (Take π = 3.14) Correct to 2 decimal places.
2 m
Triangle Circle Composite figure area Overlapping area D Place values D Round off

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