421 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
422 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
423 P5.AN.JM.17083194
Level 3
A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.
4 m
Rectangle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure
424 P4.FR.JM.17101690
Level 3
A rectangle is 15 cm long and 12 cm wide. 34 of the rectangle is shaded green and the rest is shaded blue. What is the area of the rectangle that is shaded blue?
4 m
F Addition & subtraction Fraction to units Length Area Perimeter Units method
425 P6.AP.TL.17090827
Level 3
Willi noticed the patterns on the square tiles and tried to calculate the area of the shaded part. Leave the answer in 2 decimal places. (Take π = 3.14)
4 m
Square Rectangle Quarter circle Composite figure area D Place values D Round off
426 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
427 P5.AN.NK.23012622
Level 3
A piece of paper is folded as shown. The ratio of ∠a to ∠b is 3 : 2.
  1. Find ∠a.
  2. Find ∠c.
4 m
Rectangle Triangle Right angle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure Ratio to units
428 P6.AN.NK.17052214
Level 3
The figures are not drawn to scale. Figure 1 shows a rectangular piece of paper ACDF that measures 20 cm by 14 cm. AB = ED = 5 cm. The paper is folded along the dotted line BE such that point C touches point F, as shown in Figure 2.
  1. Find the area of Figure 2. ABEDF, after the folding.
  2. In Figure 2, ∠ABF is 76°. Find ∠BED in Figure 2.
4 m
Rectangle Overlapping angles Sum of angles in a quadrilateral Folded figure
429 P6.AP.TL.17090829
Level 3
The figure is made up of semicircles, a square, ABDF, and a rectangle, BCEF. The length of the square, ABDF, is 20 cm. Find the area of the shaded figure. Leave the answer in terms of π .
4 m
Square Rectangle Circle area Semicircle Composite figure area
430 P5.AP.JM.17083195
Level 3
Mr Tan owned a rectangular piece of land, ABCD, as shown in the figure. A path of width 3 m was tiled around the pool and the garden. The area of the square pool was 196 m2 and the area of rectangular garden was 308m2. Find the area of the piece of land.
4 m
Square Rectangle Rectilinear figure Composite figure area

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