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Numerical reasoning tests: speed with accuracy

How to read the tables, avoid the classic traps (units, percentage points, currency direction) and use the answer options to save time.

3 min read3 worked examplesBanks · Online tests

The method

  1. 1

    Read the question first

    Then find only the numbers it needs. Tables often contain distractors.

  2. 2

    Check units and scale

    Thousands or millions? Percent or percentage points? Per year or per quarter?

  3. 3

    Write the calculation

    One line on paper, before you touch the calculator.

  4. 4

    Estimate, then look at the options

    If the options are far apart, a rough estimate is enough to pick one.

  5. 5

    Keep moving

    About 75 seconds a question in a 12-in-15-minutes test. Flag and come back.

The calculations that come up again and again

Percentage change = (new − old) ÷ old

Share = part ÷ total

Worked example · Growth and share

Checked by code

Revenue rose from $240m to $276m. The whole market was $1,840m. What was the growth rate, and the company's market share?

Show the working
  1. 1.Growth = (276 − 240) ÷ 240 = 36 ÷ 240 = 15%.
  2. 2.Share = 276 ÷ 1,840 = 15%.

Answer15% growth and a 15% share.

Worked example · Percent versus percentage points

Checked by code

A margin goes from 12% to 15%. By how much did it rise?

Show the working
  1. 1.In percentage points: 15 − 12 = 3 points.
  2. 2.In percent: 3 ÷ 12 = 25%.

Answer3 percentage points, which is a 25% increase.

Worked example · Currency direction

Checked by code

€50m is converted at 1.08 US dollars per euro. How many dollars?

Show the working
  1. 1.Dollars per euro × euros = dollars: 1.08 × 50 = 54.

Answer$54m.

Common mistakes

Common mistakes

  • Dividing by the new value instead of the old one for a percentage change.
  • Mixing percent and percentage points.
  • Converting currency the wrong way round. Check whether the rate is "dollars per euro" or "euros per dollar".
  • Reading the wrong year's column.

Practice this

Put the method to work on fresh questions, marked instantly.

Online tests