Level 1: Core Concepts Check (Aiming for a Pass - 'S')

1. State the Formula: Write the formula for the area of a circle with radius r.

2. State the Formula: Write the formula for the area of a sector with radius r and angle θ.

3. Calculate: Find the area of a semi-circle with a diameter of 28 cm.

4. Calculate: Find the area of a sector with radius 14 cm and central angle 90∘.

Level 2: Connecting the Dots (Aiming for a Credit - 'C'/'B')

1. Explain: Describe the steps to find the area of the shaded region if a circle is cut out from the center of a square.

2. Apply: A rectangular lamina is 20 cm long and 7 cm wide. A quarter-circle of radius 7 cm is cut out from one corner. Find the area of the remaining portion.

3. Problem-Solve: The area of a sector of a circle is 462 cm² and its central angle is 270∘. Find the radius of the sector.

Level 3: Exam Challenge (Aiming for a Distinction - 'A')

Multi-step Problem: The figure shows a square ABCD with a side length of 14 cm. Four quarter-circles are drawn with centres at A, B, C, and D, each with a radius of 7 cm. These quarter-circles form a flower shape in the middle of the square.

(a) Calculate the area of the square.

(b) Calculate the total area of the four quarter-circles.

(c) Find the area of the shaded region (the part of the square not covered by the quarter-circles).