PRACTICE GUIDE ANALYSIS GROUP
Analysis Group Number Sequences Practice Test
Analysis Group does not publish the shape of its number sequences screen, and candidates describe it as 20 to 30 questions in 10 to 25 minutes, roughly about 30 to 60 seconds per question, answered by typing the number, with no calculator.
Those are ranges across firms running this format rather than Analysis Group's own figures, so treat them as the shape to train against and check the instruction screen on the day for the marking rule.
Outcry is not affiliated with Analysis Group and has no access to their assessment content. This guide describes an assessment format that candidates report publicly; the questions here are generated by Outcry and are not Analysis Group’s own.
What it screens
One of the largest private economic consulting firms, working on litigation, healthcare and finance engagements.
- ✓First and second differences, ratios, and alternating patterns
- ✓Interleaved sequences (two rules taking turns)
- ✓Squares, cubes, primes and factorials recognised on sight
- ✓Committing to an answer with seconds left
Where it sits at Analysis Group
One of the largest private economic consulting firms, working on litigation, healthcare and finance engagements. What that means for the screen is that the questions tend to be drawn from the work rather than from a textbook, so the format below is the shape to train against rather than a syllabus.
Candidates also report one other screen at Analysis Group, covered separately on this site. Where a firm runs several, they usually sit in one round rather than spread across the process, so the pacing of the whole set matters more than any single section.
The format
Analysis Group does not publish this screen's shape, and it varies between firms, so these are the ranges candidates report rather than exact figures.
| Questions | 20 to 30 |
|---|---|
| Time | 10 to 25 minutes |
| Per question | about 30 to 60 seconds |
| Negative marking | Varies by firm and year |
| Answer style | Typed next term |
| Where it sits | Usually the same sitting as the arithmetic screen |
What it tests, with a worked example
Every example below is generated by Outcry, drawn from the same question generators the timed drills run. None of them is Analysis Group’s.
Second-order differences
The differences themselves form a pattern - the give-away for a quadratic rule.
Example 1
What comes next: 1, 8, 27, 64, 125, ?
Answer 216
Cubes from 1: next is 6³ = 216.
Example 2
What comes next: 15, 21, 28, 36, 45, ?
Answer 55
Triangular numbers - the gaps go up by one each time. Next is 45 + 10 = 55.
Example 3
All traders are risk-takers. No risk-takers are cautious people. What follows?
- No traders are cautious people
- Some traders are cautious people
- No cautious people are risk-takers only if some traders are
- All risk-takers are traders
Answer No traders are cautious people
Every trader sits inside risk-takers, and that set is disjoint from cautious people, so none can overlap.
Named number families
Squares, cubes, primes, factorials and Fibonacci, recognised rather than derived.
Example 1
34, 38, 46, 58, 62, 74, ?
Answer 82
These are twice each prime, starting at 17. The gaps do not settle, which is the hint. The next prime after 37 is 41, so the answer is 82.
Example 2
9, 12, 18, 27, 39, 54, ?
Answer 72
The gaps are 3, 6, 9, 12, 15 - each one 3 bigger than the last. The next gap is 18, so 54 + 18 = 72.
Example 3
10, 18, 34, 66, 130, 258, ?
Answer 514
Take 2 off every term and you get 8, 16, 32, 64, 128, 256 - powers of 2. The next power is 512, so the answer is 514.
Committing under time
A sequence you cannot crack is a skip, not a guess, wherever the paper marks negatively.
Ratio runs that are not geometric
Terms whose ratios themselves move, which reads as geometric until the third term breaks it.
Example 1
19, 27, 37, 49, 63, ? What comes next?
Answer 79
The gaps are 8, 10, 12, 14 and grow by 2. Next gap 16, so 63 + 16 = 79.
Example 2
11, 30, 68, 144, 296, ? What comes next?
Answer 600
Double and add 8: 296 × 2 + 8 = 600.
Example 3
34, 37, 40, 43, 46, ? What comes next?
Answer 49
Each term adds 3, so 46 + 3 = 49.
Position-dependent rules
The rule uses the index rather than the previous term, so differences never settle.
Example 1
What comes next: 118, 104, 90, 76, 62, ?
Answer 48
Constant step of −14: 62 − 14 = 48.
Example 2
What comes next: 1, 3, 7, 15, 31, ?
Answer 63
One less than a power of two: 2^6 − 1 = 63. Equivalently double and add 1.
Example 3
What comes next: 5, 10, 30, 120, 600, ?
Answer 3600
The multiplier grows: ×2, ×3, ×4, ×5, so next is ×6: 600 × 6 = 3600.
Sequences with a planted decoy
An opening that fits two rules, where the fourth term is what decides between them.
Example 1
3, 7, 15, 31, 63, 127, ?
Answer 255
Each term is 2 times the last, plus 1. 2 × 127 + 1 = 255.
Example 2
2, 7, 8, -5, -34, -53, ?
Answer -4
Each term is 2 × the previous term, minus 3 × the one before that. 2 × -53 + 102 = -4.
Example 3
4, 14, 54, 214, 854, 3414, ?
Answer 13654
Each term is 4 times the last, minus 2. 4 × 3414 − 2 = 13654.
What a good score looks like
These are usually scored alongside the arithmetic section rather than reported separately, so a standalone cutoff is rarely visible. Candidates describe the sequences round as the one that responds fastest to practice, because the rule families are few.
How to train for it
- 01Learn to take first and second differences automatically, before trying anything cleverer. It resolves most items on its own.
- 02Practise splitting a list into odd and even positions the moment the differences look random. That one move solves every interleaved item.
- 03Memorise the small squares, cubes, primes and factorials to sight-recognition. Deriving them is what costs the time.
TRAIN IT HERE
The drills that match each section
Sequence Sprint
Timed next-term sequences, exactly the assessment format.
Arithmetic Drill
The raw calculation speed that sequence tests assume you already have.
SIT THE FULL BATTERY
All the sections back to back on one clock, marked the way the real screen marks them, with a by-skill breakdown at the end. Included with any pass.
Also reported at Analysis Group
Common questions
- Is the Analysis Group number sequences test multiple choice?
- Reported as typed next term. Formats move, so treat this as the shape rather than a guarantee.
- How long is the Analysis Group number sequences test?
- Candidates report 20 to 30 questions in 10 to 25 minutes, roughly about 30 to 60 seconds per question.
- Is there negative marking on the Analysis Group number sequences test?
- It varies by firm and by year. Where a paper does mark negatively, skipping beats guessing; where it does not, answer everything. Check the instruction screen before you start - it is always stated there.
- How do I practise for it free?
- Every drill linked on this page is free to play, with no account, inside a daily run cap. Questions are generated fresh each run, so there is nothing to memorise between attempts.