Questions

From Worst to Best

51 P4.AP.NK.23050843

Level 3
The area of a rectangular sheet of paper ABCD is 108 cm². It is then folded at a corner as shown below in Figure 2. Given that AD = 9 cm and AE = 4 cm.

Find the length of CD.
Find the perimeter of the unshaded part AEBCD.

3 m

Attempt

52 P4.AP.JM.17100268

Level 3
A rectangular strip of ribbon is folded as shown. What is the area of the strip of ribbon before it is folded?

3 m

Attempt

Square Rectangle Overlapping area Folded figure

53 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

Square Composite figure area Overlapping area Fraction of a whole Fraction to units Units method

54 P5.AP.JM.17083248

Level 3
The ratio of the area of Rectangle A to that of Rectangle B to that of Rectangle C is 5 : 4 : 3. ³₁₀ of Rectangle A and ¹₆ of Rectangle C are shaded. The shaded area is 36 cm². Find the total unshaded area of the figure.

4 m

Attempt

Rectangle Rectilinear figure Overlapping area Fraction to units Ratio to units Units table

55 P5.AP.NK.23041257

Level 3
The figure shows overlapping a rectangle. Find the area of the shaded part.

4 m

Attempt

Rectange Triangle Composite figure area Overlapping area

56 P4.AP.NK.23050838

Level 3
The figure, not drawn to scale, is made up of 3 squares, A, B and C. The length of one side of square A is twice the length of one side of square B. The length of one side of square B is twice the length of one side of square C. If the length of square B is 16 cm, find the area of the shaded parts of the figure.

4 m

Attempt

Length Square Overlapping area Times as many

57 P4.AP.NK.23050842

Level 3
Figure A is a rectangular piece of paper measuring 36 cm by 20 cm. James folded the paper along the dotted line to form Figure B. What is the area of the shaded part of the paper?

4 m

Attempt

Rectangle Triangle Overlapping area Folded figure

58 P6.AP.TL.17090841

Level 3
The figure is made up of a right-angled triangle ABC and two semicircles with AB and BC as their diameters respectively. The two semicircles and the line AC meet at D as shown. AB = 12 cm. BC = 16 cm and AC = 20 cm. (Take π = 3.14)

Find the perimeter of the shaded region. Correct the answer to 2 decimal places.
Find the area of the shaded region.

5 m

Attempt

Right-angled triangle Circumference Semicircle Composite figure perimeter Composite figure area Overlapping area D Place values D Round off

59 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.