Level 2
The figure (not drawn to scale) is made of two concentric circles. AB is the radius of the bigger circle. AC is the radius of the smaller circle. AB is 35 cm while AC is 14 cm. Find the area of the shaded region. (Take π = 227)
2 m
Level 2
ABCD is a rhombus. ∠DCB = 45° and ∠ADE = 30°. Find ∠EDB.
2 m
Level 2
Kumar paid $57 for some cupcakes. Each cupcake cost $3. He gave 5 cupcakes to his brother. How many cupcakes had Kumar left?
2 m
Level 3
The figure shown is a staircase made up of 1-cm cubes. What is the volume of the total number of cubes up to Step 20?
3 m
Level 3
Some patterns of shaded and unshaded small triangles is given. The unshaded triangles are those which have at least one side on the edge of the big triangle. All of the other small triangles are shaded. The table below shows numbers of small triangles.
  1. Find the total number of triangles in Pattern 80.
  2. Find the number of shaded triangles in Pattern 40.
  3. Find the number of unshaded triangles in Pattern 50.
3 m