41 P6.AP.TL.17090717
Level 2
In the figure, the circle is touching each of the two squares at exactly four points, if the area of the bigger square is 100 cm2, find the area of the smaller square.
2 m
Square Circle Radius Cut & paste
42 P6.AP.TL.17090718
Level 2
The figure consists of 2 squares and a circle. If the length of the bigger square is 10 cm, what is the area of the shaded part?
2 m
Square Circle F Multiplication Cut & paste
43 P6.AP.TL.17090709
Level 2
Find the perimeter of the shaded parts. (Take π = 3.14)
2 m
Square Circle
44 P6.AP.TL.17090716
Level 2
The circles are not drawn to scale. The small circle is with radius a and the big circle is with radius A. The ratio of a to A is 4 : 7. If the area of the small circle is 169π cm2, find A. Express the answer in mixed number.
2 m
Square & square root Circle Mixed numbers Ratio to units Units method
45 P6.AP.TL.17090719
Level 2
The perimeter of the triangle WXY is 30 cm. Given that YW = 13 cm, WX = 12 cm, RY = PY and PX = QX, find the radius of the circle.
2 m
Triangle Circle Sets Units & parts & boxes Substitution
46 P6.AP.TL.17090720
Level 2
A chain is wrapped round two wheels which has a diameter of 8 m. Line AB is 12 m. Find the length of the chain. (Take π = 3.14)
2 m
Circle Circumference Length
47 P6.RD.TL.17042445
Level 3
In the figure, not drawn to scale, 40% of the triangle XEZ is shaded. The ratio of the shaded part of circle to the unshaded part of the circle is 5 : 9. What percentage of the rectangle WXZY is shaded?
3 m
Ratio to units Finding percent Percent to units Area perimeter Repeated identity Units table
48 P6.AP.TL.17090721
Level 2
A rectangle is placed in a circle with O as the centre. Use the calculator value of π to find the shaded part of the circle. Correct the answer to 1 decimal place.
2 m
Rectangle Square & square root Triangle Circle area Fraction of a whole D Place values D Round off
49 P6.AP.TL.17090724
Level 2
The figure shows a triangle enclosed within a semicircle. X is the centre of the semicircle. Find the area of the shaded part. (Take π = 3.14).
2 m
Triangle Circle area Semicircle
50 P6.AP.TL.17090723
Level 2
The figure is made up of an equilateral triangle and a semi-circle of diameter 21 m. Find the perimeter of the figure. (Take π = 227)
2 m
Equilateral triangle Circumference Semicircle
51 P6.AP.NK.21060415
Level 2 PSLE
The figure is formed by joining two quarter circles of radius 3 cm. Find the perimeter of the figure. Round your answer to the nearest whole number. Take π = 3.14
2 m
Composite figure perimeter Quarter circle D Round off
52 P6.AP.TL.17090729
Level 2
The figure shows a circle. O is the centre and the diameter XOY is 42 cm long. Each of the shaded part is formed by the radius of the big circle and 2 identical quarter arcs. Find the total area of the shaded parts in the figure. (Take π = 227)
2 m
Square Quarter circle
53 P6.AP.TL.17090726
Level 2
5 identical quarter circles were cut out from a square cardboard of length 18 cm. Find the area of the 5 quarter circles. Leave the answer in terms of π.
2 m
Square Quarter circle Length
54 P6.AP.TL.17090730
Level 2
The figure, not drawn to scale, consists of a rectangle ABFG, a square BCDF, and 2 identical quadrants AGE and BFD. AG = 8 cm and FG = 4 cm. Find the shaded area. (Take π = 227)
2 m
Square Rectangle Quarter circle Cut & paste
55 P6.AP.TL.17090731
Level 2
The figure is made up of 2 similar quadrants and a semicircle in a rectangle. The diameter of the semicircle is 28 cm. Find the perimeter of the shaded part. (Take π = 227)
2 m
Rectangle Semicircle Quarter circle
56 P6.AP.TL.17090728
Level 2
The figure is made up of 2 identical circles with centres O and L. OKLM is a square of sides 10 cm. Find the area of the shaded part.
2 m
Square Circle area Quarter circle
57 P6.AP.TL.17090733
Level 2
The figure is made up of 2 quadrants with radii 16 cm and 8 cm respectively. Find the perimeter of the figure. (Take π = 3.14)
2 m
Circumference Quarter circle Composite figure perimeter
58 P6.AP.TL.17090737
Level 2
Find the perimeter of the shaded figure. (Take π = 3.14)
2 m
Circumference Quarter circle Composite figure perimeter
59 P6.AP.TL.17090735
Level 2
The diagram shows a semicircle with a diameter of 21 cm. Quadrant CDB has the centre A. The line AB divides the quadrant equally into 2 parts. Find the perimeter of the shaded region. (Take π = 227)
2 m
Circumference Semicircle Quarter circle Composite figure perimeter
60 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

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