141 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
142 P6.AP.TL.17090783
Level 3
Find (a) the perimeter and (b) the area of the figure. (Take π = 227)
3 m
Square Semicircle Composite figure perimeter Composite figure area
143 P6.VO.NK.17080908
Level 3
Tank A measuring 40 cm by 17 cm by 146 cm is filled with water. Tank B is with a square base of side 68 cm is empty. Water is poured from Tank A into Tank B until the water level in Tank B is twice the height of the water in Tank A. What is the height of the water level in Tank B?
4 m
Volume of cuboid Height of cuboid Volume common height Times as many
144 P6.AP.TL.17090784
Level 3 PSLE
In the figure, the square LMNO is made up of two parts, X and Y. The part, X, is formed by a semicircle and the line LM. The perimeter of X is 36 cm and the perimeter of the shaded part, Y, is 64 cm.
  1. Find the perimeter of the square LMNO.
  2. Find the area of the shaded part Y. (Take π =227)
3 m
Square Semicircle Composite figure area Units & parts Elimination
145 P6.AP.TL.17090795
Level 3
The figure shown is formed by cutting out three identical quadrants from three identical squares. Find the area of the figure. (Take π = 227)
3 m
Square Quarter circle Composite figure area
146 P6.AP.TL.17090790
Level 3
The figure shows 4 identical circles in a square, WXYZ. The area of the square is 900 cm2. Find the area of the shaded part (Take π = 3.14)
3 m
Square Square & square root Circle Circle area Composite figure area
147 P6.AP.TL.17090809
Level 3
In the figure, WXYZ is a square of side 20 cm with a semi-circle and 2 quadrants drawn in it. Find the difference in areas of the shaded regions A and B. (Take π = 3.14)
3 m
Square Semicircle Quarter circle Composite figure area
148 P6.AP.TL.17090801
Level 3
Find (a) the perimeter and (b) the area of the figure. (Take π = 227)
3 m
Square Circle Composite figure perimeter Composite figure area
149 P6.AP.TL.17090806
Level 3
  1. Find the perimeter of the shaded region. (Take π = 3.14)
  2. Find the unshaded area of this figure. (Take π = 3.14)
3 m
Square Circle area Composite figure perimeter Composite figure area Leaf
150 P6.AP.TL.17090798
Level 3
The figure is made up of curved lines (arcs) of quadrants with radius of different lengths in a square of edge 6 cm. Find the total shaded area. (Take π = 3.14)
3 m
Square Semicircle Quarter circle Composite figure area Leaf

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