Questions

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246 P5.AP.JM.17083244

Level 3
The figure consists of two overlapping squares ABCD and DEFG. H is the ¹₅ mark of the sides, AB and FG. Express the shaded area as a fraction of the total unshaded area. (Give your answer in the simplest form.)

4 m

Attempt

247 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

248 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.

5 m

Attempt

Circle area Composite figure area D Place values D Round off Finding ratio R Simplest form

249 P6.AP.TL.17090851

Level 3
In the figure, not drawn to scale, WXYZ is a rectangle with a length of 45 cm and a width of 22 cm. The area of the quadrilateral ABCD is 75 cm². Find the ratio of the shaded area to the unshaded area.

5 m

Attempt

Rectangle Triangle Composite figure area Overlapping area Finding ratio R Simplest form

250 P4.FR.JM.17101779

Level 3
Nellie read ¹₄ of a storybook. If she had read another 147 pages, she would have read ⁵₆ of the whole storybook altogether. How many pages were there in the storybook?

4 m

Attempt