81 P6.AP.NK.21060427
Level 3 PSLE
The figure shows a right-angled triangle.
  1. Find the area of the triangle.
  2. Bruce wants to cut such triangles from a rectangular piece of cardboard 50 cm by 80 cm. At most, how many of such triangles can he cut?
4 m
Rectangle Right-angled triangle Tiling Min-max
82 P6.AN.NK.21060925
Level 3 PSLE
In the figure, ABCD is a rectangle. The points F, G, and H lie on the rectangle ABCD. CEF and HEG are straight lines.
  1. Find ∠FGH.
  2. Find ∠ECH.
4 m
Rectangle Triangle Vertically opposite angles Angles sum of triangle Alternate angles
83 P6.AP.TL.17090817
Level 3
The figure shows a rectangle WXYZ. The lines are extended from point W, X, Y and Z and they meet at point B. The length of YZ is 30 cm. Given that the area of triangle WBZ is 65 cm2 and the area of triangle XBY is 105 cm2, find the breadth of the rectangle in mixed number.
4 m
Rectangle Triangle Mixed numbers
84 P6.AN.NK.17051734
Level 3
In the figure, ADGJ is a rectangle, GHJK is a rhombus and DEFG is a parallelogram. ∠GHJ = 76° and ∠FGH = 94°.
  1. Find ∠CGD.
  2. Find ∠GFE.
4 m
Rectangle Isosceles triangle Parallelogram Rhombus Angles at a point Interior angles
85 P6.AN.NK.17052213
Level 3
Ben has a white rectangular card which is grey on the other side. He folds the card along its diagonal ED. Find
(a) ∠a
(b) ∠b
(c) ∠c
4 m
Rectangle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure
86 P6.AN.NK.17052210
Level 3
ABCD is a parallelogram which was folded along the dotted lines to form rectangle AYCZ. The two shaded triangles are the flaps formed after the folding. Given that ∠AXC = 128°, find ∠DAB.
4 m
Right angle Rectangle Triangle Parallelogram Angles on a straight line Alternate angles Interior angles Overlapping angles Folded figure
87 P6.AP.JC.22100306
TRY FOR FREE
Level 3 PSLE
A plot of land which had an area of 876 m2 was divided into three portions of equal width. These portions were fenced using 177 m of fence as shown.
  1. Find the length of AB.
  2. Find the perimeter of the plot of land.
4 m
Attempt
Rectangle Composite figure perimeter Composite figure area
88 P5.AP.NK.23102502
Level 3
The figure shows a rectangular piece of paper 32 cm by 5 cm which is coloured on one side. It is folded along the dotted line to form Figure B.
  1. Find the area of the rectangular piece of paper.
  2. Find the total area of X, Y and Z in Figure B.
4 m
Length Rectangle Triangle Composite figure area Folded figure
89 P6.AN.NK.17052204
Level 3
A rectangular piece of paper was folded as shown.
  1. Find ∠a.
  2. Find ∠b.
4 m
Rectangle Interior angles Overlapping angles Sum of angles in a quadrilateral Folded figure
90 P6.AP.TL.17090823
Level 3
On a rectangular plot, a horse is tied to a pole at a corner of the hut which measures 18 m by 6 m. The hut is at the centre of the rectangular grass patch and there is a 14 m wide border of grass patch around it. Given that the rope is 12 m long,
  1. what is the maximum grass patch area that the horse can feed on?
  2. find the total area of the grass patch that the horse cannot feed on. (Take π = 3.14)
4 m
Rectangle Circumference Composite figure area Min-max

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