Questions

221 P4.AP.JM.17100278

Level 3
The figure is formed from 2 rectangles and a square. The length of Rectangle R is twice that of Square S. The breadth of Rectangle R is ¹₃ its length.

Find the area of Rectangle T.
Find the perimeter of the whole figure.

4 m

Attempt

222 P4.AP.JM.17100228

Level 3
The figure not drawn to scale is made up of a square and a rectangle. It has an overall perimeter of 56 cm. The length of the square is ²₃ as long as the length of the rectangle. Given that the breadth of the rectangle is 5 cm, find the area of the whole figure.

4 m

Attempt

Square Rectangle Rectilinear figure Composite figure area Fraction to units Units method

223 P4.AP.JM.17100220

Level 3
Given the figure, find

its perimeter.
its area.

4 m

Attempt

Square Rectangle Rectilinear figure Composite figure perimeter Composite figure area

224 P4.AP.JM.17100222

Level 3
Given the figure, find

its perimeter.
its area.

4 m

Attempt

Square Rectangle Rectilinear figure Composite figure perimeter Composite figure area

225 P4.AP.JM.17100207

Level 3
Fadil has a rectangular piece of paper measuring 42 cm by 20 cm as shown in Figure 1. He cuts out a square from the paper and shifts it to the side of the remaining piece of paper to create a new figure as shown in Figure 2. There is no overlapping of the 2 pieces of paper. Figure 2 has a perimeter of 168 cm. What is the area of the square that was cut out?

4 m

Attempt

Square Rectangle Rectilinear figure Composite figure area

226 P4.AP.NK.23050846

Level 3
The figure, not drawn to scale, is made up of 3 identical small squares within a larger square of length 12 cm. The perimeter of the unshaded portion of the figure is 40 cm. What is the area of the shaded portion of the figure?

4 m

Attempt

Length Square Rectilinear figure Composite figure area

227 P4.AP.NK.23050826

Level 3
The figure shows Square X and Square Y inside Square ABCD. The area of Square Y is 49 cm² and the area of Square ABCD is 81 cm².

Find the length of AE
Find the area of the shaded region.

4 m

Attempt

Length Square Square & square root Rectilinear figure Composite figure area

228 P4.AP.NK.23050847

Level 3
The figure is made up of 2 different squares. The perimeter of the shaded part is 64 cm and the area of the shaded part is 135 cm². Find the area of the unshaded square.

4 m

Attempt

Square Rectilinear figure Composite figure area Units method

229 P4.AP.JM.17100283

Level 3
The diagram shows a rectangle RSUP, which is made up of square RSTQ and rectangle QTUP. Figure X, Y and Z are squares and the area of square Z is 1 m². The area of square X is ²₃ of the shaded area in rectangle QTUP and QA = AT. Find the unshaded area of rectangle QTUP.

4 m

Attempt

Square Rectangle Triangle Composite figure area Units method

230 P4.AP.NK.23050825

Level 3
Jane painted a grey square on rectangle ABCD as shown. The length of BC is twice of EC. The length of AD is ¹₂ of AB. Find the area of the unpainted part of the rectangle ABCD.

4 m

Attempt

Square Rectangle Rectilinear figure Composite figure area Fraction to units Times as many Repeated identity Units table

231 P6.AP.JC.22040804

TRY FOR FREE

Level 3 PSLE
The figure is made up of three rectangles. A straight line drawn across the rectangles, divides the figure into two parts: shaded and unshaded.

The perimeter of the shaed part is 8 cm longer than the perimeter of the unshaded part. What is the length of AB?
What is the area of the shaded part?

4 m

Attempt

Rectangle Rectilinear figure Triangle Composite figure perimeter Composite figure area More than or less than Units & parts Elimination

232 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

233 P6.AP.TL.17090844

Level 3
The figure shows 2 identical circles enclosed in a rectangle ABCD. Find the area of the shaded parts. (Take π = 3.14)

5 m

Attempt

Rectangle Circle Quarter circle Composite figure area

234 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

235 P6.AP.TL.17090846

Level 3
The figure is made up of a big quadrant OWY a small quadrant OVZ and a square VXZO. The radius of the big quadrant OWY is 12cm. The area of the big quadrant is twice the area of the small quadrant OVZ. Using the calculator value of π, find the area of the shaded parts, correct to 2 decimal places.

5 m

Attempt

Square Circle area Quarter circle Composite figure area D Place values D Round off

236 P6.AP.TL.17090847

Level 3
In the figure, ABCD is a square of sides 24 cm. G is the midpoint of BD. DE = EC. DG is 4 times of FG. AH is ³₈ of AG. Find the total shaded area.

5 m

Video Attempt

Square Triangle Composite figure area Fraction of a whole Times as many Units method

237 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)

5 m

Attempt

Square Triangle Circle area Semicircle Quarter circle Composite figure area

238 P6.AP.TL.17090849

Level 3
The figure is make up of 3 circles. The small circle has centre O and a radius of 6 cm. The big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through the centre of the medium-sized circle and the small circle. The three regions formed are indicated as X, Y and Z.

Find the radius of the medium-sized circle.
Find the area of region Z. Use a calculator to obtain the value of π. (Round off to nearest 2 decimal places).
Express the area of the region Y as a ratio to the area of region X.