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

1. Define: What is the "subject" of a formula?

2. Rearrange: Make u the subject of the formula v=u+at.

3. Rearrange: Make h the subject of the formula for the volume of a cone, V=31​πr2h.

4. Substitute: In the formula A=πr2, find the value of A if r=7 and π=722​.

5. Rearrange: Make b the subject of the formula a2+b2=c2.

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

1. Explain: Describe the steps to make 'l' the subject of the formula T=2πgl​​.

2. Apply: The surface area of a sphere is given by A=4πr2. If the surface area of a sphere is 616 cm², find its radius.

3. Problem-Solve: The kinetic energy of an object is given by E=21​mv2. If an object of mass 2.4 kg has a kinetic energy of 10.8 J, find its velocity v.

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

Multi-step Problem: The total energy (E) of an object is given by the formula E=mgh+21​mv2.

(a) Make v the subject of the formula.

(b) An object of mass 3 kg is at a height of 5 m above the ground. Its total energy is 153 Joules. If the acceleration due to gravity (g) is 10 m/s², calculate the velocity (v) of the object at this moment.