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

1. Convert: Express 103=1000 in logarithm form.

2. Convert: Express log2​64=6 in index form.

3. State the Laws: Write down the laws for loga​(mn) and loga​(nm​).

4. Simplify: Find the value of log10​25+log10​4.

5. Identify: What is the characteristic and mantissa of the logarithm of 78.32, given that log10​7.832=0.8939?

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

1. Explain: Describe the steps to find the value of 594.2×9.275 using logarithm tables.

2. Apply: Use logarithm tables to find the value of 53.21÷4.97.

3. Problem-Solve: Solve for x: loga​5+loga​x=loga​3+loga​10−loga​2.

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

Multi-step Calculation: Use logarithm tables to find the value of 5.138.72×1.003​​ correct to two decimal places. (Note: x​=x1/2 and log(x1/2)=21​logx).