A two-digit number is equal to 4 times the sum of its digits. Find every such number.
[3]13+ maths scholarship papers
Scholarship maths uses Core and Additional content in unfamiliar problems. The marks go to clear reasoning, not speed.
How scholarship maths is set
| Paper | Format |
|---|---|
| CASE (ISEB) | 90 minutes, 100 marks, no calculator; Section A all questions, Section B as many as you can |
| Eton King's Scholarship | Maths A compulsory, Maths B optional |
| Winchester Election | Mathematics I required, Mathematics II optional |
| Westminster Challenge (from 2027) | Core paper with a calculator; optional maths Specialism without |
| Harrow | Two 90-minute papers at Additional level, one with a calculator |
| Tonbridge | Maths I compulsory, Maths II optional, calculators allowed |
What scholarship questions ask for
- Working systematically so no case is missed
- Turning a pattern into a rule and explaining why it works
- Using algebra on a word problem nobody has shown you before
- Writing a complete, convincing argument