Numerical reasoning formula sheet for online tests

By Pratham Ranjan·7 min read·

You do not need advanced maths for most numerical reasoning tests. You need a small set of formulas you can use quickly without choosing the wrong base.

Source note: forge checks provider-format guidance against official candidate resources from SHL, Aon, HireVue and, where relevant, public employer process pages. Provider names, challenge labels and timing can still change by country, role and intake, so use your invitation email as the final source before choosing a drill.

TL;DRthe 30-second version
  • Percentage change = change / original x 100.
  • Share of total = part / total x 100.
  • Ratio questions are usually about matching units.
  • Estimate before calculating.
Definition
A numerical reasoning formula sheet is a compact reference for the percentage, ratio, average and comparison formulas used in online assessment tests.

Formulas only help if you can use them under time pressure. Practise the setup, not just the arithmetic. Practise numerical

Core formulas

  • Percentage change = (new - old) / old x 100.
  • Percentage point difference = percent A - percent B.
  • Share of total = part / total x 100.
  • Average = total / number of items.
  • Ratio multiplier = target ratio part / current ratio part.

Worked examples

QuestionSetupAnswer
Revenue rises from 80 to 100(100 - 80) / 80 x 10025% increase
A team has 45 of 180 cases45 / 180 x 10025% share
Profit margin is 12 on revenue 6012 / 60 x 10020% margin
A:B is 3:5 and total is 6464 / 8 partsA = 24, B = 40

When to estimate

Estimate before calculating when the answer choices are far apart. If revenue goes from 100 to 110, the increase must be about 10%. Any option near 5% or 20% is probably a trap. Estimation is not a replacement for calculation; it is a guardrail against precise wrong answers.

Common traps

  • Dividing by the new value instead of the original.
  • Mixing percent and percentage points.
  • Comparing numbers with different units.
  • Using total revenue when the question asks for profit.

forge trap note

Wrong-base percentage errors are the most common numerical trap to fix quickly. Before touching the calculator, name the base: original value, total, benchmark, or target. If you cannot name it, you are not ready to calculate.

forge review note: formulas are only half the answer

When you miss a formula question, do not only write the correct formula. Write the decision that selected it: original value, total, average, share, margin or ratio part. That decision is what usually breaks under time pressure.

Numerical Reasoning Formula Sheet practice route map

Use this table to turn the article into a drill plan. The goal is not to read every guide; it is to match the wording in your invite to the nearest format, take a timed baseline, and then practise the exact weakness that shows up.

Signal in your inviteWhat it usually meansBest next practice
Numerical Reasoning Formula SheetThis is the main format or provider family this page covers.Start with one timed baseline before reading more theory.
numerical reasoning / formula sheetThese labels are the strongest clues for choosing the right drill.Use the closest forge guide or practice pack, then review every miss.
Mixed provider or vague assessment wordingThe employer may reveal the exact section only inside the portal.Practise one reasoning format and one adjacent judgement or game format.
Video, interview or assessment-centre wordingThe process has moved from timed answers to evidence and communication.Prepare concise role examples after the timed drill is under control.

How to prepare from here

Treat this page as the map, not the practice itself. First, match the wording in your invitation email to the closest provider or question family. Then take one short timed set before doing any more reading. That baseline tells you whether the real problem is speed, accuracy, unfamiliar interface, or a specific trap such as wrong-base percentages, cannot-say overreach, or single-feature pattern matching.

Once you know the weak spot, practise narrowly. Ten mixed mocks can feel productive, but they often hide the pattern. Three focused drills on the same mistake usually move the score faster. After that, run one full timed attempt and review both wrong answers and slow correct answers. Slow correct answers matter because they steal time from later questions.

  • Confirm the exact format. Read the invitation email and test portal carefully before you practise. Provider names, timing and section mix can change by employer and role.
  • Take a timed baseline. Do one short timed set in the closest format, then mark the questions you missed or answered too slowly.
  • Drill the weakest pattern. Spend most of your prep time on the recurring error type, not on random extra mocks.
  • Run a realistic mock. Before the real assessment, practise under the same timer, calculator rules and environment you expect on test day.

Common mistakes to avoid

The biggest mistake is preparing for a generic aptitude test when the employer has named a specific provider. SHL, AON, Cappfinity, Talent Q, HireVue-style video interviews and employer job simulations all reward different habits. The skills overlap, but the timing, interface and answer style can change enough to make generic prep inefficient.

  • Ignoring the invite wording. A few words in the email often reveal the exact test family.
  • Practising untimed for too long. Untimed practice teaches method; timed practice teaches performance.
  • Reviewing only the final score. The useful data is why you missed each question.
  • Overfitting to one employer rumour. Providers change by country, role and intake, so keep the caveat in mind.
  • Leaving the next stage too late. If the online test goes well, video interview or assessment-centre prep often follows quickly.

What forge sees candidates confuse

The repeat pattern is mistaking a broad provider label for a specific task. A candidate may remember AON, SHL, Cappfinity or Talent Q, but the useful clue is the second label: numerical, verbal, inductive, strengths, calculator, Digit, Grid, Gap or another named section. That second label decides the practice route.

When practice stalls, tag the error before doing another mock. Use simple labels: wrong data, wrong base, over-reading, missing qualifier, one-feature pattern match, slow correct answer, or judgement mismatch. The next drill should target the most common label, not the topic that feels most familiar.

How forge reviews this practice

forge review starts with the attempt, not the topic label. A missed question is tagged by the thing that actually cost the mark: setup, data lookup, inference, timing, interface surprise or judgement. A correct answer can still be tagged if it took too long, because a slow correct answer often creates the next wrong answer later in the test.

The limitation is that public provider guidance rarely confirms every employer setup. That is why these guides separate the transferable skill from the employer rumour. Use the page to choose a first drill, then let the official invite and portal examples decide the final format before you sit the real assessment.

When to switch guides

Switch guides as soon as your evidence changes. If the invitation mentions SHL Verify, use the SHL guides. If it says AON, cut-e, scales or a named challenge such as Switch, Digit or Grid, use the AON guides. If it describes strengths, realistic work scenarios or a job simulation, add SJT and strengths-based preparation. If the page you are reading does not match the wording in your portal, trust the portal.

A useful rule is to keep the provider fixed while you practise a weak skill. Switching between providers too early makes it harder to tell whether the problem is the skill, the interface or the timer. Once your accuracy is stable in one format, then add the adjacent provider so the real test does not feel unfamiliar.

Practise the formulas under time

Knowing the formula is step one. forge drills turn it into timed accuracy.

Practise numerical

Related guides

Frequently asked questions

Do I need formulas for SHL numerical?+

Yes, but only a small set. Speed and setup matter more than memorising many formulas.

What is the most common mistake?+

Using the wrong base in percentage change.

Should I estimate?+

Yes. Estimation helps catch impossible answer choices.

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