41 P6.RA.TL.17042602
Level 3
The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.
3 m
Finding ratio LCM Area perimeter Rectangle Overlapping area Unchanged difference Units method
42 P6.AP.TL.17090711
Level 1
The figure is made up of a rectangle and a semi-circle. The diameter of the circle is 80 cm. Find the area of the shaded part. (Take π = 3.14)
2 m
Rectangle Circle area Semicircle Quarter circle Cut & paste
43 P6.AP.TL.17090755
Level 2
The figure shows a circle with parts of its region shaded. O is the centre of the circle. Line A is 14.3 cm and Line B is 15.8 cm. Find the difference between the shaded and unshaded areas.
2 m
Rectangle Circle Cut & paste
44 P6.AP.NK.21060430
Level 3 PSLE
Two rectangular mats, each 6 m by 4 m, are place on the floor of a rectangular room as shown. The mats overlap. The area of the floor covered by the overlap is 5.6 cm2. Find the area of the floor not covered by the mats.
2 m
Rectangle Overlapping area
45 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
46 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
47 P6.AG.JC.23030112
Level 3 PSLE
The figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
  1. Find the length of AE in terms of w. Give your answer in the simplest form.
  2. Find the total area of the figure when w = 16.
3 m
Algebra in 1 variable Algebra substitution Length Area perimeter Rectangle Isosceles triangle
48 P6.AN.NK.17081612
Level 2 PSLE
In the figure, LMNP is a rectangle and PON is a straight line. ∠LPM = 28° and ∠MON = 80° , find ∠PMO.
2 m
Rectangle Angles on a straight line Angles sum of triangle
49 P6.AP.TL.17090804
Level 3
The figure shows a rectangular piece of paper with 3 rectangular stickers pasted on it. The stickers have a width of 13 cm each. Find the area of the region that is not covered by the stickers.
3 m
Rectangle Rectilinear figure Composite figure area
50 P6.AP.TL.17090803
Level 3
In the figure, the unshaded rectangle WXYZ has a perimeter of 20 cm. A square is constructed on each of its sides. If the total area of the squares is 80 cm2, find the area of the unshaded rectangle.
3 m
Square Rectangle Rectilinear figure Composite figure area

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