Questions

1 P6.AP.TL.17090710

Level 1
Find the perimeter of this quadrant. Its radius is 4 cm. (Take π = 3.14)

1 m

Attempt

2 P6.AN.NK.17050201

The figure is not drawn to scale. ∠PQR is a quadrant. Find ∠QRN.

2 m

Attempt

Isosceles triangle Quarter circle

3 P6.AP.NK.21060415

Level 2 PSLE
The figure is formed by joining two quarter circles of radius 3 cm. Find the perimeter of the figure. Round your answer to the nearest whole number. Take π = 3.14

2 m

Attempt

Composite figure perimeter Quarter circle D Round off

4 P6.AP.TL.17090729

Level 2
The figure shows a circle. O is the centre and the diameter XOY is 42 cm long. Each of the shaded part is formed by the radius of the big circle and 2 identical quarter arcs. Find the total area of the shaded parts in the figure. (Take π = ²²₇)

2 m

Video Attempt

Square Quarter circle

5 P6.AP.TL.17090726

Level 2
5 identical quarter circles were cut out from a square cardboard of length 18 cm. Find the area of the 5 quarter circles. Leave the answer in terms of π.

2 m

Attempt

Square Quarter circle Length

6 P6.AP.TL.17090730

Level 2
The figure, not drawn to scale, consists of a rectangle ABFG, a square BCDF, and 2 identical quadrants AGE and BFD. AG = 8 cm and FG = 4 cm. Find the shaded area. (Take π = ²²₇)

2 m

Video Attempt

Square Rectangle Quarter circle Cut & paste

7 P6.AP.TL.17090731

Level 2
The figure is made up of 2 similar quadrants and a semicircle in a rectangle. The diameter of the semicircle is 28 cm. Find the perimeter of the shaded part. (Take π = ²²₇)

2 m

Attempt

Rectangle Semicircle Quarter circle

8 P6.AP.TL.17090728

Level 2
The figure is made up of 2 identical circles with centres O and L. OKLM is a square of sides 10 cm. Find the area of the shaded part.

2 m

Attempt

Square Circle area Quarter circle

9 P6.AP.TL.17090733

Level 2
The figure is made up of 2 quadrants with radii 16 cm and 8 cm respectively. Find the perimeter of the figure. (Take π = 3.14)

2 m

Attempt

Circumference Quarter circle Composite figure perimeter

10 P6.AP.TL.17090737

Level 2
Find the perimeter of the shaded figure. (Take π = 3.14)

2 m

Attempt

Circumference Quarter circle Composite figure perimeter

11 P6.AP.TL.17090735

Level 2
The diagram shows a semicircle with a diameter of 21 cm. Quadrant CDB has the centre A. The line AB divides the quadrant equally into 2 parts. Find the perimeter of the shaded region. (Take π = ²²₇)

2 m

Attempt

Circumference Semicircle Quarter circle Composite figure perimeter

12 P6.AP.TL.17090741

Level 2
The figure is made up of a rectangle and 2 quadrants. If the length of the rectangle is 16 m and the breadth of the rectangle is 8 m, find the area of the shaded area. (Take π as 3.14)

2 m

Attempt

Rectangle Quarter circle Composite figure area

13 P6.AP.TL.17090753

Level 2
The figure is made up of a circle and a square, KLMO of area 25 cm². K is the centre of the circle. Calculate the total shaded area of the figure. (Take π = 3.14)

2 m

Attempt

Square Square & square root Quarter circle Composite figure area

14 P6.AP.TL.17090750

Level 2
The shaded figure is made up of 4 quarter arcs of radius 12 cm. Find its area. (Take π = 3.14)

2 m

Attempt

Right-angled triangle Circle area Quarter circle Composite figure area

15 P6.AP.TL.17090752

Level 2
The figure is made up of a quadrant, a square and a semicircle. The area of the square is 169 cm². Find the area of the shaded parts. (Take π = 3.14)

2 m

Attempt

Square Square & square root Semicircle Quarter circle Composite figure area

16 P6.AP.TL.17090740

Level 2
The figure is formed by 2 semicircles, 2 identical quarter circles and a square ABCD. The perimeter of square ABCD is 60 cm. What is the total area of the shaded parts? Express the answer in the nearest whole number. (Take π = 3.14)

2 m

Attempt

Square Semicircle Quarter circle Composite figure area Cut & paste W Round off

17 P6.AP.TL.17090749

Level 2
Find (a) the area and (b) the perimeter of the figure. (Take π = ²²₇)

2 m

Attempt

Circle area Semicircle Quarter circle Composite figure perimeter Composite figure area

18 P6.AP.TL.17090711

Level 1
The figure is made up of a rectangle and a semi-circle. The diameter of the circle is 80 cm. Find the area of the shaded part. (Take π = 3.14)

2 m

Attempt

Rectangle Circle area Semicircle Quarter circle Cut & paste

19 P6.AP.TL.17090769

Level 3 PSLE
LOPQ is a rectangular cardboard with LQ = 7 cm. Two quarter circles have been cut from it as shown. The remaining cardboard, which is the shaded part, has an area of 56 cm². Using π = ²²₇, find the length of MN.