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

1. Define: What is a perfect square?

2. List: Write down all the perfect squares between 1 and 100.

3. Identify: Between which two consecutive integers does the value of 55​ lie?

4. Describe: What is the purpose of the "division method" when working with square roots?

5. Calculate: Find 625​.

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

1. Explain: A student says the first approximation of 17​ is 4.1. Explain the steps to verify if this is correct.

2. Apply: The area of a square-shaped plot of land is 2025 m². Find the length of one of its sides.

3. Calculate: Find the value of 40​ to one decimal place using the division method.

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

Multi-step Problem: The area of a square is equal to the area of a rectangle with a length of 27 cm and a breadth of 12 cm.

(a) Calculate the area of the rectangle.

(b) Find the length of a side of the square.

(c) An isosceles right-angled triangle has a hypotenuse of length equal to the side of the square you found in

(b). Find the length of one of the other sides of this triangle, correct to one decimal place.