Multi-step Numerical Problems
Multi-step numerical problems require you to perform several calculations in sequence to reach the answer. They appear in numerical reasoning tests for finance, consulting and graduate recruitment. Here's how to tackle them.
What Are Multi-step Problems?
Instead of one simple calculation, you need to combine steps. For example: find revenue from a table, calculate percentage change, then apply that to another year. Each step builds on the previous one.
How to Approach
- Read the full question – Understand the end goal.
- Identify the steps – What do you need to calculate first, second, third?
- Work in order – Don't skip steps.
- Write intermediate results – Avoid carrying errors forward.
- Check units – Ensure each step uses the right units.
Example
A product sold 200 units at £25 each in Year 1. Sales increased 15% in Year 2. What was the Year 2 revenue?
- Step 1: Year 1 revenue = 200 × 25 = £5,000
- Step 2: Year 2 units = 200 × 1.15 = 230
- Step 3: Year 2 revenue = 230 × 25 = £5,750
Common Mistakes
- Skipping a step and using the wrong value
- Rounding too early and losing precision
- Forgetting to apply the result of one step to the next
Tips
- Use a clear layout on your scratch paper.
- Write intermediate answers with units.
- Re-read the question before submitting to ensure you answered what was asked.
Practice with numerical reasoning questions and the numerical reasoning test.
Frequently Asked Questions
How do I know which step to do first?
Work backwards from the end goal. What do you need to get the final answer? That gives you the last step. What do you need for that? And so on.
Should I round intermediate results?
Keep intermediate results as precise as possible. Only round when the question asks for a rounded final answer.
What if I get stuck on one step?
Move to the next question and return later. Don't get stuck on one problem for too long.