Questions

From Worst to Best

181 P6.AP.JC.23031301

Level 3 PSLE
Tom designed a logo as shown. The logo is made up of 2 small identical quarter circles, a large quarter circle and 2 straight lines drawn inside a square of side 42 cm. The radius of each small quarter circle is 14 cm.

What is the perimeter of the shaded part?
What is the area of the shaded part?

4 m

Attempt

182 P6.FR.JO.21042215

Level 3 PSLE
A square, not drawn to scale, is made up of four triangles A, B, C and D. The area of A is ¹₁₀ the area of the square while the area of B is ¹₆ the area of the square.

The total areas of A and B is 240 cm². What is the length of each side of the square?
What fraction of the square is Area of D?

5 m

Attempt

Fraction of a whole F Simplest form F Addition & subtraction Fraction to units Length Area Perimeter Square & square root Units method

183 P6.AN.NK.17052304

Level 3
In the figure, not drawn to scale, ABCD is a square, CDE is an equilateral triangle, CEFG is a rhombus, and BC = EC. Find

∠EFG
∠AEB.

5 m

Attempt

Square Equilateral triangle Isosceles triangle Rhombus Interior angles

184 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

185 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

186 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)