Level 3
ABCD is a rectangle which has a breadth of 8 cm. It is divided into 4 triangles. Triangle X is 110 of the area of the rectangle and 13 the area of Triangle Z. Triangle Y has an area of 12 cm2.
  1. Find the area of the rectangle.
  2. Find the perimeter of the rectangle.
5 m
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)
  1. Find the perimeter of the shaded region. Correct the answer to 2 decimal places.
  2. Find the area of the shaded region.
5 m
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
Level 3
In the figure, not drawn to scale, Triangle ABC and DEF are identical right-angled triangles. Find the unshaded area of the figure.
5 m
Level 3
Jennifer draws 5 different triangles. How many sides does she draw in all?
3 m
Level 3
Benedict used 84 sticks to make a total of 22 triangles and pentagons. A triangle was made using 3 sticks and a pentagon was made using 5 sticks. How many pentagons were there?
4 m
Level 3
If the sum of 4 stars stands for 24 and the product of 2 triangles stands for 49, how much do the product of a star and a triangle stands for?
4 m