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RAF CBAT practice module

Mathematics Reasoning Test Guide

Interpret written numerical problems and apply time-speed-distance reasoning under time pressure.

No account needed for individual practice · Phone, tablet or desktop

Independent exercise Reviewed August 2026
Module briefing // REASONING Ready
Training focusapplied numerical reasoning, formula selection, mental arithmetic and reading accuracy
CategoryREASONINGStart withAccuracyThen buildPace
Primary focusapplied numerical reasoning, formula selection, mental arithmetic and reading accuracy
Best starting pointBuild an accurate, repeatable method
Training formatInteractive browser exercise

Module overview

What the test trains

This module focuses on applied numerical reasoning, formula selection, mental arithmetic and reading accuracy. It is designed to make the underlying process easier to recognise, repeat and review before you add more speed or workload.

Task profile

What the task looks like

What it involves

  • Translate a written scenario into the correct numerical relationship.
  • Identify what is known, what is being asked and which variable is unknown.
  • Use distance, speed and time relationships with consistent units.
  • Estimate the answer before committing to exact arithmetic.

Practice screen example

These screenshots show CBAT Academy’s independent practice version of the task.

Mathematics Reasoning practice screen showing a word problem and multiple-choice answers
Convert the wording into a short calculation before looking at the options. Estimating first can quickly expose answers with the wrong scale or operation.Screenshot from the Mathematics Reasoning practice module.

Worked example: separate the rate from the total

Suppose an aircraft begins with 320 litres of fuel and burns 45 litres per hour for four hours. The question asks how much fuel remains, so two operations are needed rather than one.

  1. Calculate the fuel used: 45 × 4 = 180 litres.
  2. Subtract that amount from the starting quantity: 320 − 180 = 140 litres.
  3. Check the direction of the answer. Remaining fuel must be lower than the starting quantity, and the final unit must be litres.

CBAT Academy mixes fuel, cargo, speed, distance and time questions. Before reading the answer choices, name the required quantity and write the relationship in one short line; this prevents a plausible distractor from suggesting the wrong operation.

Interface briefing

Controls and test flow

Controls

Work through each problem and select your answer from the on-screen multiple-choice options.

How the Academy version works

CBAT Academy presents an independently developed browser exercise with its own questions, graphics, timing and scoring. The instruction screen explains the current workload before launch; it does not claim to reproduce an official assessment screen or confidential question set.

Performance briefing

Difficulty and scoring

Difficulty and settings

Question count doubles from 8 at Easy to 16 at Hard, with 5 minutes available at Easy narrowing to 3 at Hard for a faster required pace of mental arithmetic.

How scoring works

The result reflects performance in this Academy module. Accuracy is the main signal for decision tasks, while timing, missed targets, false responses or control error can also contribute where the task requires them. Assessment mode is more suitable for trend comparisons than adjustable practice runs.

Read how practice scores and estimates work →

Training plan

Build a method that holds up under pressure

Why this becomes difficult

  • Verbal information must be converted into variables before calculation.
  • Minutes and hours may need to be normalised.
  • The question may ask for speed, distance, time or arrival time.
  • Time pressure encourages calculation before the problem has been translated correctly.

Preparation tips

  • Memorise D = S × T and rearrange it instantly.
  • State the target variable before touching the numbers.
  • Check units before calculating.
  • Estimate the answer’s scale first.
  • Practise turning a sentence into a one-line equation before solving.

Common mistakes

  • Using the right numbers in the wrong formula.
  • Mixing minutes with hours.
  • Answering journey time when the question asks for arrival time.
  • Failing to notice that a rate applies only to part of a journey.
  • Doing exact arithmetic without a reasonableness check.

Useful practice drills

  • Complete mixed D-S-T questions where the unknown changes each time.
  • Convert minutes to decimal hours and back.
  • Read word problems and write the equation only.
  • Estimate first, then calculate exactly and compare the two answers.

Common questions

Frequently asked questions

Is this the same as an official Mathematics Reasoning test?

No. It trains related skills with an independently developed task. Rules, controls, timing, visuals and scoring can differ from an official assessment.

What's the most common mistake on this task?

Using the right numbers in the wrong formula.

What actually helps here?

Memorise D = S × T and rearrange it instantly.

Transparency

Sources and information status

Task guidance on this page describes CBAT Academy’s own software. Broad aptitude context is checked against the public references in the source register. Details not established by an official source are treated as independent training methodology.

This guide describes CBAT Academy’s independently developed practice modules. It is not an exact specification of any current RAF, Canadian Forces or Ministry of Defence assessment. Official content, timings, scoring and administration may differ.

Continue the briefing

Turn the method into repeatable performance.

Launch the interactive trainer, begin with accuracy and review the pattern behind each mistake before increasing pace.