61 P6.AN.NK.17052212
Level 3
A rectangular piece of paper is folded along the diagonal as shown in Figure B. It is folded again as shown in Figure C before the last fold in Figure D. If the angle is 62° in Figure D, what is ∠a?
3 m
Rectangle Overlapping angles Folded figure
62 P6.VO.NK.17080915
Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, 25 of it is filled. Find the height of the tank.
4 m
Height of cuboid Filling tank Fraction of a whole Ratio to units Unit conversion Rectangle Units method
63 P6.AN.NK.17052203
Level 3
The figure shows a rectangle ABCD being folded along AT. Given that ∠TAC = 18° find
  1. ∠y
  2. ∠z
3 m
Rectangle Angles sum of triangle Overlapping angles Folded figure
64 P6.AN.NK.17051749
Level 3
The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.
3 m
Right angle Square Rectangle Overlapping angles Similar figures
65 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
66 P6.AN.NK.17051752
Level 3
In the figure, not drawn to scale, two rectangles, ABHI and GHJK overlap each other as shown. Given that AD // GF and CF // DE.
  1. Find ∠a.
  2. Find ∠b.
3 m
Rectangle Corresponding angles Interior angles Overlapping angles
67 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
68 P6.AN.NK.17052209
Level 3
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m
Rectangle Angles on a straight line Alternate angles Corresponding angles Interior angles Overlapping angles Folded figure
69 P6.AN.NK.17052207
Level 3
A rectangular piece of paper was folded as shown. Find ∠EGI.
3 m
Rectangle Angles on a straight line Alternate angles Overlapping angles Sum of angles in a quadrilateral Folded figure
70 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

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