Questions

41 P6.AP.TL.17090725

Level 3

The figure shows a rectangular field EFGH. Mike walked from E to F to G to H and he covered a distance of 57m. Sandy walked from F to G to H to E and she covered a distance of 48m. What is the perimeter of the field?
Some construction work was undertaken to the same field and a semi-circular part was removed from it. What is the perimeter of the field after the construction? (Take π = ²²₇)

3 m

Attempt

42 P6.AP.TL.17090821

Level 3
The figure is not drawn to scale. A, B and C are radii of 21 cm long. Find the area of the shaded part. (Take π = ²²₇)

4 m

Attempt

Triangle Semicircle

43 P6.AP.TL.17090822

Level 3
Three similar sections are cut away from an equilateral cardboard triangle ABC. Each side of the equilateral triangle is 56 cm. Find the perimeter of the remaining cardboard. (Take π = 3.14)

4 m

Attempt

Equilateral triangle Circumference Semicircle

44 P6.AP.TL.17090824

Level 3
A piece of rope is used to make the figure shown. Inside the big semicircle are 2 small circles and 3 small semi-circles, all of which have the same radius. The diameter of the big semicircle is 30 cm. Find the area of the shaded region. (Leave the answer in terms of π)

4 m

Attempt

Circle area Semicircle Composite figure area

45 P6.AP.TL.17090826

Level 3
The figure is made up of a big semicircle of diameter 8 cm and 2 small semicircles with diameter 5.7 cm. Find the shaded area. Round off the answer to nearest 1 decimal place. (Take π = 3.14)

4 m

Attempt

Triangle Semicircle Composite figure area D Place values D Round off

46 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

Attempt

Square Rectangle Circle area Semicircle Composite figure area

47 P6.AP.TL.17090830

Level 3
The figure is made up of a quadrant, a square and a semicircle. The area of the square is 144 cm². Find the area of the shaded parts. (Take π = 3.14)

4 m

Attempt

Square Square & square root Circle area Semicircle Quarter circle Composite figure area

48 P6.AP.TL.17090835

Level 3
The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 60 cm.

Find the perimeter of the shaded figure. (Take π = 3.14)
Find the shaded area of this figure. (Take π = 3.14)

4 m

Attempt

Triangle Semicircle Quarter circle Composite figure perimeter Composite figure area

49 P6.AP.TL.17090836

Level 3
In the figure, WXYZ and XYML are squares. P and N are centres of square WXYZ and PQRS respectively. O is the centre of XY. If WL = 56 cm, take π = ²²₇ and find

the perimeter of the shaded region,
the area of the shaded region.

4 m

Attempt

Square Circumference Circle area Semicircle Composite figure perimeter Composite figure area

50 P6.AP.TL.17090837

Level 3
The figure is not drawn to scale. It is formed by quadrants and semicircles of two sizes. The radius of the larger quadrant is 3 cm longer than the radius of the smaller quadrant. The radius of the smaller quadrant (Line B) is 12 cm.

Find the area of the shaded part.
Find the perimeter of the dotted line. (Take π = 3.14)

4 m

Attempt

Circle area Semicircle Quarter circle Composite figure perimeter Composite figure area More than or less than

51 P6.AP.TL.17090793

Level 3
The figure shows a rectangular park which consists of 1 pavilion in a semi-circle shape and a pond. 4 quarter circles make up the shape of the pond. The length and breadth of the rectangle are 80 m and 44 m respectively.

Find the perimeter of the pond.
Find the area of the shaded part. (Take π = 3.14).

4 m

Attempt

Rectangle Circumference Semicircle Quarter circle Composite figure perimeter Composite figure area

52 P6.AP.NK.21060424

Level 3 PSLE
The figure is made up of 6 identical quadrants and 2 identical semicircles. The radius of each quadrant is 14 cm. The unshaded area marked A is enclosed by 2 quadrants and 2 semicircles. (Take π = 3.14)

Find the perimeter of A.
Find the total shaded areas.

4 m

Attempt

Semicircle Quarter circle Leaf Composite figure perimeter Composite figure area

53 P6.AP.TL.17090839

Level 3
The diagram shows 3 identical circles embedded in a rectangle. Given that the length of the rectangle is 18 cm, find the total area of the shaded parts. Use calculator π. (Give the answer correct to 2 decimal places)

4 m

Attempt

Rectangle Triangle Circle Semicircle Quarter circle Composite figure area Cut & paste

54 P6.AP.TL.17090840

Level 3
The figure is made up of a big circle and 4 small identical circles. The diameter of the small circle is 28 cm. Find the shaded area. (Take π = 3.14)

4 m

Video Attempt

Triangle Circle area Semicircle Composite figure area Leaf

55 P6.AP.NK.21060422

Level 3 PSLE
The figure shows a path of width 3 m in a rectangular park of length 42 m. The outline of the path is made up of quarter circles with centre A, semicircles with centre D and straight lines. AB = CD.

What is the width of the rectangular park?
Find the area of the path. Take π = 3.14.

4 m

Attempt

Length Rectangle Semicircle Quarter circle Composite figure area Boomerang

56 P6.AP.NK.21060420

TRY FOR FREE

Level 2 PSLE
A symmetric figure is drawn on a rectangular piece of paper 20 cm by 15 cm as shown. Its outline consists of a large semicircle, 2 smaller semicircles and 2 straight lines.

What is the area of the figure?
What is its perimeter? Take π = 3.14

5 m

Attempt

Rectangle Semicircle Composite figure perimeter Composite figure area

57 P6.AP.TL.17090845

Level 3
The figure shows a triangle KLM and 3 semicircles. If the shaded area of the semicircle, labelled y, is ¹₃ the unshaded area of the semicircle, labelled x, find the total shaded area. (Take π = 3.14)

5 m

Attempt

Triangle Semicircle Composite figure area Fraction to ratio

58 P6.AP.TL.17090848

Level 3
The figure, not drawn to scale, is made up of a square, a quadrant and a semicircle. WXYZ is a square of side 28 cm. Find the area of the shaded part. (Take π = ²²₇)