Quick maths
Ten timed questions on raw arithmetic: big multiplications, percentages and fractions.
152 drills · 4 skills · 2 daily warm-ups
Ten timed questions, new numbers every day. Five minutes before anything else.
48 × 25 = 1,200
7/8 = 87.5%, in your head
Ten timed questions on raw arithmetic: big multiplications, percentages and fractions.
£2m ÷ £40 = 50k
units to break even, said in a sentence
Ten timed questions in the sentences an interviewer says: growth, breakeven, margin and share.
Fast, accurate arithmetic on the numbers a case throws at you.
20% → 25%
up 5 points, and up 25%
Percent change, points versus percent, reverse percentages and weighted mixes: the arithmetic under every case.
Revenue = P × Q
72 ÷ 8% ≈ 9 years to double
Revenue as price times volume, compounding, CAGR and the rule of 72, and splitting growth into its drivers.
Margin = Profit ÷ Revenue
£3m on £20m is 15%
Gross, operating and contribution margin, margin moves in points, and what a cost or price change does to profit.
Fixed ÷ (P - VC)
£500k ÷ (£25 - £15) = 50k units
Breakeven volume, price and market share, payback periods, and the volume you need to justify a price cut.
Value ≈ CF ÷ r
£1m a year at 10% ≈ £10m
ROI, NPV, perpetuities and valuation multiples, and how to pick between two investments.
Structure the case types interviewers set most often.
Find out why profit moved by splitting it cleanly, segmenting early and asking the question that localises the problem.
Decide whether a client should enter a market, and how, with a structure that ends in a go or no-go.
Structure where growth will come from, and judge whether a new product deserves the investment.
Find where the cost sits, read benchmarks with care, and separate quick wins from structural change.
Size markets and read exhibits the way a consultant does.
Pop × % × freq × £
68m × 40% × 12 × £3 ≈ £1bn
Sites × capacity × use × £
2,000 × 500 × 80% × £10 = £8m
Find the bar that matters
Read a chart fast, pull out the number that matters and avoid the tempting wrong conclusion.
Find the cell that drives the change
Find the insight in a dense table: margins, shares and the segment driving the change.
£979m ÷ 68m ≈ £14
a head a year: plausible
Clarify, brainstorm and close with a clear recommendation.
“What would success look like for the client?”
Ask the few questions that change your structure: objective, scope, metric, timeframe and constraints.
Brainstorm ways to grow revenue in clear buckets, then say which ideas you would pursue first.
Find cost levers and operational fixes in a structure the interviewer can follow, then point to where the money is.
Name what could sink your recommendation, how to de-risk it and what you would analyse next.
Give the CEO a 60-second recommendation: answer first, three reasons with numbers, risks and next steps.
Choose · Should we raise price?