461 P5.AP.JM.17083178
Level 3
A thin wire, 132 cm long, is bent to form Figure 1 which consists of a square and a rectangle. If the wire does not overlap and the breadth of the rectangle is one third its length, what is the perimeter of the figure?
3 m
Square Rectangle Rectilinear figure Composite figure perimeter Units method
462 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
463 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
464 P5.AP.JM.17083204
Level 3
Rectangle WXYZ is made up of 3 identical squares. Given that the perimeter of Rectangle WXYZ is 80 cm, find the total area of the unshaded parts.
3 m
Square Rectangle Composite figure area
465 P4.AP.JM.17100121
Level 2
Find the area of the shaded part.
3 m
Square Rectilinear figure Composite figure area
466 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
467 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
468 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
469 P5.AP.JM.17083216
Level 3
The figure is made up of 2 squares of different sizes. Find the area of the shaded part.
3 m
Square Triangle Composite figure area
470 P4.AP.JM.17100179
Level 3
The figure shown, not drawn to scale, is made up of a rectangle X with length 18 cm and a square Y of sides 14 cm. What is the area of the rectangle X?
3 m
Square Rectangle Rectilinear figure Composite figure area
471 P4.AP.NK.23050828
Level 3
The measurements of a plot of land are given below. (All sides of the plot of land meet at right angles.)
  1. What is the area of the plot of land?
  2. Each square metre of land costs $85. How much does the plot of land cost?
3 m
Square Rectangle Rectilinear figure Composite figure area Money
472 P5.AP.JM.17083185
Level 3
The figure is made up of 2 squares of sides 27 cm and 21 cm respectively. What is the area of the shaded part?
3 m
Square Rectangle Composite figure area
473 P4.AP.JM.17100203
Level 3
Given the figure, find
  1. its perimeter.
  2. its area.
3 m
Square Rectangle Rectilinear figure Composite figure perimeter Composite figure area
474 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
475 P5.VO.JM.17083131
Level 3
A square base tank has a volume of 2880 cm3. If the edge of the base is 35 that of its height, find the area of its base.
4 m
Base area x height Cube & cube root Fraction to units
476 P5.AP.JM.17083232
Level 3
The figure (not drawn to scale) is made up of 2 squares and a triangle. The areas of the 2 squares are shown. What is the area of the triangle?
3 m
Square Triangle Composite figure area
477 P5.AN.JM.17083247
Level 3
In the figure, ABCD is a square and AEFC is a rectangle. EC is a straight line and ∠ECF = 58°. Find ∠ECB.
3 m
Right angle Square Rectangle Overlapping angles
478 P4.AP.NK.23050805
Level 3
The figure (not drawn to scale) is made up of two squares, Square X and Square Y. The total area of the figure 80 m2.
  1. What is the area of Figure Y?
  2. What is the perimeter of the whole figure?
4 m
Square Square & square root Rectilinear figure Composite figure area
479 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
480 P5.AP.JM.17083227
Level 3
The figure shows a square (A and B) and a triangle (B and C). Find the difference between the area of A and that of C.
3 m
Square Triangle Composite figure area

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