BCG · Quantitative Reasoning

The BCG Quantitative Reasoning Test: guide and practice questions

Written by the Ace the Solve team · Reviewed by an ex-BCG consultant · Updated 2 Nov 2026 · ~16 min read
Takeaway: The BCG Quantitative Reasoning Test is a 40-minute, 20-question numeracy screen used heavily for BCG London and experienced/MBA hires: single-entry answers at roughly two minutes a question, drawn from percentages, ratios, rates, and chart reading at GRE Quant level, with no calculator. The fixes that matter are boring ones: drill arithmetic speed, practise the question types that recur, and bank the easy questions before the long word problems eat your clock. Below are nine worked questions, one per question type, and three you can answer on the page.

Overview

The BCG Quantitative Reasoning Test (often just called the BCG Quant) is BCG's numeracy screen. It is a short, tightly timed written assessment that checks whether you can do the kind of fast, accurate mental arithmetic and data interpretation a consultant relies on every day, percentages, ratios, growth rates, reading charts and tables, and translating a word problem into a calculation. In substance it is essentially equivalent to the GRE Quantitative Reasoning section: the same building blocks (algebra, geometry, averages, interpreted graphs), the same level of difficulty, and the same pressure to be both correct and quick. The difference is context, BCG wraps the questions in business framing (revenue, costs, travellers, production lines) so they feel like a slice of the job.

Practice the real thing: Our BCG Quantitative Reasoning Simulation reproduces the 40-minute, 20-question test using a bank of questions that have appeared in previous BCG assessments, and may appear again. Get 3 attempts for £10.

Where you'll meet it

The BCG Quant is especially popular in BCG's London office, where it is used as a first-round screen for experienced hires and MBA hires. If you're applying to London, or to a role that routes through London, you should expect this test to appear early in the process, usually before you get to a live case interview. It lets BCG filter a large candidate pool quickly and objectively on raw quantitative fluency before investing consultant time in interviews. For experienced hires coming from industry, it's often the step that decides whether you advance to the case round; for MBA candidates it sits alongside the CV review as the gateway to first-round interviews. Whenever yours arrives, you can rehearse the full 20-question format in our BCG Quant simulation before test day.

Format & timing

  • 20 questions in total.
  • 40 minutes, roughly 2 minutes per question, so pace is decisive.
  • Most questions require a single numerical entry, you type the answer into a box, rounded as the question instructs (e.g. round to the nearest pound, to 1 decimal place, or as the smallest common fraction).
  • Some questions are built around graphical or tabulated data, a bar chart, line graph, or table you must read before you can compute the answer. The data is shown alongside the question.
  • Calculators are typically not permitted; scratch paper is. The numbers are chosen to be workable by hand under time pressure.

Question types

The question bank draws on a handful of recurring families. Recognising the family fast is half the battle. Each one links to a worked example further down.

  1. Percentages & percentage change. Successive rises and falls, percentage of a percentage, working back to an original figure. Worked example.
  2. Algebra / word problems. Translate a sentence into an equation and solve (e.g. two people earning the same amount, find the sales). Often the longest to read, skim for the relationship first. Worked example.
  3. Fractions & simplification. Simplify a nested fraction or give an answer as a common fraction. Know your fraction arithmetic cold. Worked example.
  4. Geometry. Distance/shortest-path and simple area/volume. Scaling matters: doubling every dimension of a shape multiplies volume by 2³ = 8. Worked example.
  5. Averages & cumulative averages. Given an average over part of a period, find the average over the rest. Set up the total-sum equation and solve. Worked example.
  6. Graphs / chart reading. Extract values from a bar chart, line graph, or stacked bar, then do a percentage or comparison. Read the axis units (thousands, percentages) before computing. Worked example.
  7. CAGR / interest. Compound growth and simple interest. For 2%/year over 3 years, compound; don't just multiply the rate by the years. Worked example.
  8. Rates & work. People painting a house, machines producing bottles, trains crossing, combine rates and solve for time or quantity. Worked example.
  9. Scenario arithmetic. A bus with passengers getting on and off at each stop, a cafeteria selling cakes per tray per weekday, track the running total carefully. Worked example.

Practice questions with answers

Start with the three below: type your answer and check it on the page, the way the real test takes a single typed number. Then work through one example of each question type. Give yourself two minutes a question, no calculator, and open the method only once you have an answer.

Try three questions now

Commas, a currency sign or a % sign in your answer are fine.

A team of 4 consultants bills 1,200 hours in a quarter. The team grows to 6 people, each billing the same hours as before. How many hours does the team bill in a quarter?

Show the answer

1,800 hours. Each consultant bills 1,200 ÷ 4 = 300 hours, so six bill 6 × 300 = 1,800.

Revenue was $2.4 million last year and $3.0 million this year. By what percentage did revenue grow?

Show the answer

25%. The increase is 0.6 million on a base of 2.4 million: 0.6 ÷ 2.4 = 0.25.

A factory makes 50,000 units this year, and output grows 10% a year. How many units will it make in two years' time?

Show the answer

60,500 units. Two years of 10% growth multiply output by 1.1 × 1.1 = 1.21, and 50,000 × 1.21 = 60,500. Adding 20% gives 60,000, which is wrong: growth compounds.

Percentages: a rise, then a fall

A product's price rises by 20%, then falls by 20% in a sale. The sale price is $96. What was the original price, in dollars?

Show answer and methodHide answer and method

Answer $100

  1. A 20% rise then a 20% fall multiplies the price by 1.2 × 0.8 = 0.96.
  2. Original price = 96 ÷ 0.96 = 100.

The trap: a 20% rise and a 20% fall do not cancel. Each percentage applies to a different base, so the price ends 4% lower than it started.

Word problem: equal pay

Sarah is paid $4,000 a quarter plus 20% commission on her sales. Ben has no base pay but earns 30% commission on his sales. In a quarter when they sell the same amount, they earn exactly the same. What were their sales, in dollars?

Show answer and methodHide answer and method

Answer $40,000

  1. Equal pay: 4,000 + 0.2S = 0.3S.
  2. So 0.1S = 4,000, and S = 40,000.

The fast way: Ben's extra 10 points of commission has to make up Sarah's $4,000 base. 10% of sales = 4,000, so sales are 40,000. Spotting the gap saves writing the equation at all.

Fractions: give it as a common fraction

Calculate (2/3 + 1/4) ÷ 5/6. Give your answer as a fraction in its lowest terms.

Show answer and methodHide answer and method

Answer 11/10

  1. 2/3 + 1/4 = 8/12 + 3/12 = 11/12.
  2. Dividing by 5/6 means multiplying by 6/5: 11/12 × 6/5 = 66/60.
  3. 66/60 = 11/10 in lowest terms.

The trap: typing 1.1, or 66/60. Both are the right value in the wrong form, and the test marks the form it asked for.

Geometry: scaling a box

A shipping box measures 20 cm by 30 cm by 40 cm. A new box is made with every dimension 50% larger. How many times the original volume does the new box hold?

Show answer and methodHide answer and method

Answer 3.375

  1. Every length is multiplied by 1.5, so volume is multiplied by 1.5 × 1.5 × 1.5.
  2. 1.5 × 1.5 = 2.25, and 2.25 × 1.5 = 3.375.

The trap: the dimensions are there to tempt you into working out two volumes. You never need them: the scale factor cubed is the whole answer.

Averages: catching up by month end

A shop averaged 120 sales a day over the first 18 days of a 30-day month. What daily average does it need over the remaining days to finish the month averaging 135 sales a day?

Show answer and methodHide answer and method

Answer 157.5 a day

  1. Month target: 30 × 135 = 4,050 sales. So far: 18 × 120 = 2,160.
  2. Still needed: 4,050 − 2,160 = 1,890 over 12 days, which is 157.5 a day.

The fast way: the shop is 15 a day short for 18 days, a 270 shortfall. Spread over 12 days that is 22.5 a day above 135, so 157.5.

Chart reading: the fastest-growing region

Revenue by region, in $ millions. Which region grew fastest in percentage terms, and by what percentage? Round to the nearest whole percent.

Region20252026
North4050
South6063
West2432
Show answer and methodHide answer and method

Answer West, 33%

  1. North: +10 on 40 = 25%. South: +3 on 60 = 5%. West: +8 on 24 = 33.3%.
  2. West grew fastest, by 33% to the nearest whole percent.

The trap: North added the most revenue in absolute terms. The question asks about percentage growth, so the smallest region wins. Read what the question measures before you scan the table.

Compound growth: three years at 4%

$5,000 is invested at 4% a year, compounded annually. What is it worth after three years, to the nearest dollar?

Show answer and methodHide answer and method

Answer $5,624

  1. 1.04 × 1.04 = 1.0816.
  2. 1.0816 × 1.04 = 1.124864.
  3. 5,000 × 1.124864 = 5,624.32, so $5,624.

The trap: simple interest gives 5,000 + 3 × 200 = $5,600. Compounding adds interest on interest, and here that is worth $24.

Rates and work: two painters

A painter can paint a house in 6 days. An apprentice can paint the same house in 9 days. Working together, how many days do they take? Give one decimal place.

Show answer and methodHide answer and method

Answer 3.6 days

  1. Per day, the painter does 1/6 of the house and the apprentice 1/9.
  2. Together: 1/6 + 1/9 = 3/18 + 2/18 = 5/18 of the house a day.
  3. Time = 18/5 = 3.6 days.

The trap: averaging the times (7.5 days) or adding them. Add the rates, never the times.

Scenario arithmetic: the bus route

A bus leaves the depot with 40 passengers. At each of the next four stops, half the passengers on board get off and 12 new passengers get on. How many passengers are on the bus after the fourth stop?

Show answer and methodHide answer and method

Answer 25

  1. Stop one: 40 ÷ 2 + 12 = 32.
  2. Stop two: 32 ÷ 2 + 12 = 28.
  3. Stop three: 28 ÷ 2 + 12 = 26.
  4. Stop four: 26 ÷ 2 + 12 = 25.

The trap: applying "half get off" to the starting 40 at every stop. Write the running total down after each stop; it takes ten seconds and removes the error.

How it's scored

The BCG Quant is scored on number of correct answers, there is no penalty for wrong responses, so you should never leave a blank. The bar to advance is generally high; BCG uses a cut-off that varies by intake, but candidates report needing roughly 70–80%+ correct to clear the screen comfortably. Because the test is short and every question is worth the same, one or two avoidable errors can be the difference between advancing and not, accuracy under fatigue is what the test really measures.

How hard is the BCG Quant test?

The maths itself is school level. What makes it hard is the clock and the missing calculator: about two minutes a question, every answer typed with no options to check against, and arithmetic you would normally hand to a spreadsheet. Candidates who prepared with the GMAT or GRE usually find the content familiar and the pace a step tighter. Here is how the formats compare.

BCG QuantGMAT QuantGRE Quant
Questions and time20 in 40 minutes21 in 45 minutes27 in 47 minutes, over two sections
Time per questionAbout 2:00About 2:09About 1:45
CalculatorNoNoYes, on screen
Answer formatMostly a typed numberMultiple choiceMostly multiple choice, some typed
Business framingThroughoutSomeLittle

Two differences matter most for preparation. The typed answer means you cannot work backwards from options or eliminate wrong ones, so every calculation has to be finished. And the lack of a calculator rewards a stock of known values: fractions as percentages (1/8 = 12.5%, 1/6 ≈ 16.7%), squares to 20, and growth factors such as 1.1² = 1.21. If you are also sitting the GMAT, its Data Insights section (which replaced Integrated Reasoning) practises the chart and table reading, but it allows a calculator, so do your BCG practice without one.

Strategy and common mistakes

  1. Flag and move on. The real test lets you flag a question to revisit. If a question hasn't cracked in ~90 seconds, flag it, guess, and keep moving, you can reclaim the time later on easier questions.
  2. Read the rounding instruction. Nearest pound, 1 decimal place, or smallest common fraction: a mathematically correct answer in the wrong form is marked wrong. Underline the instruction before you compute.
  3. Estimate first. For chart questions, eyeball the values and estimate the answer before calculating. It catches order-of-magnitude mistakes (thousands vs millions).
  4. Set up the equation, then solve. For word problems, write the relationship (e.g. Sarah = 4000 + 0.2·S, Ben = 0.3·S) before touching numbers. Algebra errors beat arithmetic errors.
  5. Watch the units. Charts often label axes in thousands ('000s) or as percentages. A correct calculation on the wrong unit is the single most common error.
  6. Practise to the clock. 2 minutes per question is unforgiving. The only way to internalise the pace is to sit full 40-minute, 20-question mocks under real conditions, exactly what our simulation provides.

Beyond the unit and rounding slips above, three mistakes come up again and again in practice runs:

  • Treating growth as simple. Several years at a rate compound. Three years at 4% is 12.49%, not 12%; ten years at 7% roughly doubles a figure, not adds 70%.
  • Reversing a percentage the wrong way. A price after a 25% rise is 125% of the original, so you divide by 1.25 to go back. Taking 25% off the new price undershoots.
  • Answering a different question. Absolute change against percentage change, share of the total against change in share, per day against per week. Re-read the last line of the question before you type.

A 7-day prep plan

A week is enough if your school maths is sound and the gap is speed. Spend about an hour a day, and keep 15 minutes of it for mental arithmetic, on the free consulting maths trainer or on paper.

  1. Day 1: find your gaps. Answer the nine worked questions above under two minutes each, before opening any method. Note which families cost you time or marks.
  2. Day 2: build your number stock. Learn fractions as percentages to twelfths, squares to 20, and the growth factors 1.05², 1.1² and 1.1³. Drill percentage change both ways.
  3. Day 3: word problems and averages. Practise writing the equation before any arithmetic, and the total-sum method for averages.
  4. Day 4: growth, interest and rates. Compound against simple, combined work rates, and speed, distance and time.
  5. Day 5: charts and tables. Read the units first every time, then estimate before you calculate. Practise percentage against absolute comparisons.
  6. Day 6: a full timed mock. Sit 20 questions in 40 minutes, no calculator, and review every miss by family.
  7. Day 7: pace and rest. Fix your flag-and-move rule at 90 seconds, re-read the rounding traps, and stop early. A tired test-taker loses more marks than a rusty one.

The Quant test vs BCG's other tests

BCG does not use one test everywhere, and candidates often confuse the names. The office and role on your invitation decide which you sit; the invitation's own description is the one to trust.

TestWhat it isWhere candidates report it
BCG Quantitative Reasoning Test20 numeracy questions in 40 minutes, typed answers, no calculatorLondon, mainly for experienced and MBA hires
BCG Potential TestA multiple-choice test of business reasoning, maths and reading data from short casesSome continental European offices
BCG CaseyAn online case interview with an AI chatbot, answered in typed textIncreasingly common across offices, often after or beside the Quant test
Pymetrics gamesShort behavioural games scored on traits rather than right answers; there is no maths to prepareSome offices and early-careers programmes
Video interviewRecorded answers to set questions, used as a screen before live interviewsSome offices and programmes

If your invitation names the Quantitative Reasoning Test, prepare with this guide. If it says "Potential Test", the maths is similar but the format is multiple choice with more reading, so the worked questions above still help.

BCG Casey & what comes next

In several offices, and increasingly for experienced and MBA hires in London, the BCG Quant is paired with Casey, BCG's AI case-chatbot interview. Casey conducts a written, chat-based case interview: you're given a business scenario and you type your structure, maths, and recommendation back and forth with the bot. The Quant screen and Casey test complementary skills, raw numeracy vs. structured case thinking, so BCG often runs them as a one-two gateway to the live case round. If your invitation mentions both, prepare them together: use the Quant simulation to drill speed and accuracy, and save structured-case practice for Casey-style chat. Our BCG Casey guide covers that format.

Frequently asked questions

Can you use a calculator on the BCG Quant test?

No, not in the versions candidates report. You get scratch paper, and the numbers are chosen to be workable by hand. Practise without a calculator from the first day.

Is the BCG Quant test multiple choice?

Mostly not. Most questions ask you to type a single number, rounded as instructed, so you cannot eliminate options or work backwards from them. Some candidates report a few multiple-choice items; the instructions on your test screen are what count.

What score do you need to pass the BCG Quant test?

BCG does not publish a pass mark, and the cut-off varies by intake. Candidates report needing roughly 70 to 80% correct, which is 14 to 16 of the 20 questions, to advance comfortably.

How long is the BCG Quant test?

40 minutes for 20 questions, about two minutes each. There is no penalty for a wrong answer, so never leave a question blank.

Which BCG offices use the Quant test?

Candidates report it mainly in London, where it screens experienced and MBA hires before the case rounds. Other offices use different screens, such as the Potential Test or Casey, so check your invitation.

How long should you prepare for the BCG Quant test?

One to two weeks is typical. If your arithmetic is rusty, start with daily mental maths; if it is sound, a week of timed question sets and one or two full mocks is usually enough. The 7-day plan above is a good default.

Is the BCG Quant test the same as the BCG Potential Test?

No. Both test business maths, but the Potential Test is multiple choice with more reading, while the Quant test asks for typed numerical answers against a tighter clock. They are used in different offices.

Related: Build the mental arithmetic the Quant rewards on our free consulting maths trainer and in case drills. For the other BCG screens, see the Casey guide and the video interview guide. For McKinsey's equivalent timed assessment, see the Redrock guide and the Sea Wolf simulation guide.
Sources (6)
  1. r/consulting, "BCG Online Case / Quant Test" threads (2023 to 2026): candidate accounts of the 40-minute, 20-question format, single-entry answers, and London-office usage. reddit.com
  2. PrepLounge forum, BCG Online Case discussions: candidate and coach descriptions of Quant test timing, question mix, and rounding instructions. preplounge.com
  3. Wall Street Oasis forum, BCG recruiting threads: first-hand reports of when the Quant screen appears in the BCG hiring funnel. wallstreetoasis.com
  4. r/ConsultingAndFinance, BCG Quant threads (2024 to 2026): candidate reports on the question families, the 40-minute clock, and how the screen pairs with Casey. reddit.com
  5. GMAC, GMAT Focus Edition exam structure: section lengths, question counts, and the calculator policy for Quantitative Reasoning and Data Insights. mba.com
  6. ETS, GRE General Test structure: section timing, question counts, and the on-screen calculator. ets.org