Reviewed 19 August 2026 by the Cognivy editorial team
Mechanical reasoning rests on a finite set of physical principles rather than on speed or pattern discovery, so preparation has a definite list to work through rather than an open-ended skill to build. It is also a format where a diagram can look decisive while the principle behind it says otherwise. This guide covers the principles that recur, what Pearson, Aon and Saville publish about their mechanical assessments, and six free practice questions where the intuitive answer is one of the distractors.
- Questions
- 24 (Aon scales mtu) to 55 (Pearson BMCT-II); SHL publishes no figures for Verify Mechanical Comprehension
- Time limit
- 25 minutes for Pearson's BMCT-II, 15 minutes for Aon's scales mtu, and 10 minutes across three aptitudes in Saville's Swift Technical Aptitude
- Answer format
- Multiple choice: a diagram, a one-sentence question and a short list of options
- Maths required
- Simple proportion at most. Most questions are qualitative: which way, which is faster, which needs less force
- Scoring
- No provider reviewed publishes a pass mark. Saville reports a total score plus separate sub-scores on its batteries
The skill
What is a mechanical reasoning test?
A mechanical reasoning test presents a physical arrangement — gears in mesh, a lever on a pivot, a pulley system, a sealed container, a simple circuit — and asks what will happen to it. Almost every item is a diagram, a one-sentence question and a short list of options.
Pearson states that its Bennett Mechanical Comprehension Test measures the ability to solve problems, the ability to learn new mechanical concepts quickly, the level of knowledge in basic mechanics, and mechanical reasoning and spatial perception. Aon describes its scales mtu module as measuring mechanical and technical understanding using mechanical graphics.
You are not being asked to calculate. Most items are qualitative — which way, which is faster, which needs less force — and where a number is involved it is a ratio you can do in your head. Cognivy teaches the principles a candidate needs for these assessments; it is not an engineering course and it does not require mathematics beyond simple proportion.
Unlike abstract or inductive tests, this format does assume some content. Pearson lists level of knowledge in basic mechanics among the things the BMCT-II measures, and its content coding includes areas such as electricity, heat and hydraulics. That has a practical consequence for a candidate with a few days: a gap here is a specific, nameable principle you can go and read, rather than a general ability you can only practise around.
Try it before anything else
Free mechanical reasoning practice questions
Six original questions, one principle at a time: gears, levers, pulleys, pressure and circuits. Predict the answer before opening the solution — each solution names the principle, computes the quantities and says why every wrong option is on the list.
Three gears sit in a line and mesh directly with their neighbours. Gear A has 30 teeth, gear B has 10 teeth and gear C has 20 teeth. A meshes with B, and B meshes with C.
Gear A turns clockwise at 4 revolutions per minute.
Which statement describes gear C?
Show the worked solution
Answer: A — clockwise at 6 rpm.
- Handle direction first by counting meshes. Each mesh reverses direction, and there are two: A to B, then B to C.
- Two reversals return gear C to the same direction as gear A, so gear C turns clockwise.
- Now handle speed. Along a meshed train the product of teeth and speed is preserved, so gear A gives 30 times 4, which is 120.
- Gear C has 20 teeth, so its speed is 120 divided by 20, which is 6 revolutions per minute. Gear C turns clockwise at 6 rpm.
Why the other options are there. Option B has the ratio right and counts one reversal instead of two, which is the error you make by looking at the nearest mesh rather than the whole train. Option C assumes the middle gear cancels the speed ratio as well as the direction; it does not, because the tooth counts of A and C still fix the relationship between them. Option D reports gear B's own speed and direction, which is correct for gear B and stops one gear short of the question.
A uniform plank rests on a single central pivot. A load sits on the left-hand side and a second load will be placed on the right to balance it.
The left-hand load is 12 kg and sits 0.5 m from the pivot. The right-hand load is 4 kg.
How far from the pivot must the 4 kg load be placed to balance the plank?
Show the worked solution
Answer: D — 1.5 m.
- Name the principle: this is moments. The turning effect on each side is the load multiplied by its distance from the pivot, and balance means the two are equal.
- Work out the left-hand moment: 12 multiplied by 0.5 gives 6.
- Set the right-hand moment equal to it: 4 multiplied by the unknown distance equals 6.
- So the distance is 6 divided by 4, which is 1.5 m. The check is proportional: the load is three times lighter, so it sits three times further out.
Why the other options are there. Option A inverts the ratio, putting the lighter load closer instead of further away, and it is what you get by dividing when you should multiply. Option B assumes equal distances and ignores the masses entirely. Option C doubles the distance rather than tripling it, which is the answer produced by comparing 12 kg with 4 kg as a difference of 8 rather than as a ratio of three to one.
A crate hangs from a single movable pulley. One end of the rope is tied to an overhead beam, the rope runs down and around the movable pulley, back up and over a fixed pulley mounted on the beam, and the free end hangs down to the operator. Treat the rope and pulleys as frictionless and weightless.
The crate weighs 120 N.
What force must the operator pull with to raise the crate steadily?
Show the worked solution
Answer: B — 60 N.
- Name the principle: the mechanical advantage of a pulley system is the number of rope sections supporting the load, not the number of pulleys.
- Count the supporting sections. Two hold up the movable pulley the crate hangs from: the section tied to the beam and the section rising to the fixed pulley. The section in the operator's hands leaves the fixed pulley and supports nothing.
- With the rope frictionless and weightless, the tension is the same everywhere along it, so the two supporting sections share the load equally: the pull is 120 divided by 2, which is 60 N.
- The trade-off confirms it: raising the crate 1 m shortens both supporting sections by a metre each, so the operator pulls 2 m of rope through their hands for every metre of lift.
Why the other options are there. Option C treats the system as a direction change only, which is what a fixed pulley alone would give: the full 120 N. Option A assumes each of the two pulleys doubles the advantage; the fixed pulley only redirects the rope, so dividing by 4 has no physical basis. Option D inverts the advantage, multiplying by the rope sections instead of dividing — a pull of 240 N through 2 m of rope would put in four times the work the crate gains, which a frictionless system cannot lose.
A loaded wheelbarrow works as a lever with its pivot at the wheel's axle. The load sits between the axle and the handles. Ignore the weight of the barrow itself.
The load weighs 600 N and its centre sits 0.4 m behind the axle. The operator lifts the handles 1.2 m behind the axle.
What upward force must the operator apply at the handles to just lift the load?
Show the worked solution
Answer: A — 200 N.
- Name the principle: moments again, with the pivot at the end of the lever rather than the middle. Balance still means load times its distance from the pivot equals effort times its distance.
- The load's moment about the axle is 600 multiplied by 0.4, which is 240.
- Set the effort's moment equal to it: the effort multiplied by 1.2 equals 240, so the effort is 240 divided by 1.2, which is 200 N.
- The proportional check agrees: the handles sit three times further from the axle than the load does, so they need a third of the force, and 600 divided by 3 is 200 N.
Why the other options are there. Option C lifts the full weight and ignores the lever entirely. Option B measures the effort's distance from the load rather than from the axle — the 0.8 m gap between load and handles is not a lever arm, because moments are always taken about the pivot. Option D inverts the three-to-one ratio, which is the force the arrangement would demand if the load and the operator swapped places.
Two vertical cylinders are connected at the base and filled with oil. A narrow piston closes one cylinder and a wide piston closes the other. Treat the oil as incompressible, the pistons as weightless and the system as free of friction and leaks.
The narrow piston has an area of 2 cm² and is pushed down with a force of 40 N. The wide piston has an area of 10 cm².
What upward force does the oil exert on the wide piston?
Show the worked solution
Answer: C — 200 N.
- Name the principle: in a connected fluid it is pressure that transmits, not force, and the same pressure acts on both pistons.
- Compute the pressure the narrow piston creates: 40 N over 2 cm² is 20 N per square centimetre.
- The same pressure acts on the wide piston's full area: 20 multiplied by 10 is 200 N.
- The trade-off is the check: the areas stand five to one, so the wide piston pushes with five times the force and creeps upward at a fifth of the narrow piston's speed, because the displaced oil has to go somewhere.
Why the other options are there. Option B assumes force passes through a fluid unchanged; it is pressure that does, which is the entire point of a hydraulic press. Option A divides by the area ratio instead of multiplying, running the press backwards. Option D multiplies the 40 N by the wide piston's full area without ever dividing by the narrow one's, using a pressure that was never computed; the areas stand five to one, so the force can only be five times larger, not ten.
Two circuits are built from identical batteries and identical bulbs. In circuit 1, two bulbs sit in series: one after the other in a single loop. In circuit 2, two bulbs sit in parallel: each on its own branch, directly across the battery. Treat the batteries as ideal and the bulbs as fixed, equal resistances.
Which pair of bulbs glows brighter?
Show the worked solution
Answer: B — the parallel pair.
- Name the rule: an ideal battery fixes the voltage across its terminals, and the circuit then decides how much current flows.
- In the series loop the two bulbs share the battery voltage, so each receives half. In the parallel circuit each branch connects directly across the battery, so each bulb receives the full voltage.
- Brightness follows power. Halving the voltage across a fixed resistance also halves the current through it, so each series bulb dissipates a quarter of the power of each parallel bulb.
- The parallel pair therefore glows brighter, and the ranking holds for any battery voltage, because it is a ratio: whatever the voltage, the series bulbs run at a quarter of the parallel bulbs' power.
Why the other options are there. Option A tempts anyone reasoning that a parallel split halves what each bulb receives; in fact each parallel branch sits across the full battery voltage and carries more current than the whole series loop does. Option C treats the battery as pushing a fixed current through whatever it meets — an ideal battery fixes the voltage, and the circuit decides the current. Option D sounds rigorous, but the comparison needs no numbers: halving a bulb's share of the voltage quarters its power whatever that voltage is, so the ranking is fixed before any value is known.
A short mechanical reasoning set at the real per-question pace, scored server-side like the full product, with a worked solution after every answer.
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What employers are looking at
What do mechanical reasoning tests measure?
Employers use mechanical items for roles where equipment behaviour matters: engineering, maintenance, manufacturing, utilities, transport, emergency services, the armed forces and technical apprenticeships. Pearson positions the BMCT-II for recruitment, training and risk-management decisions in technical professions.
Two abilities separate here. Principle recognition: can you see that an unfamiliar diagram is the same lever problem you already understand. Transfer: can you apply the principle when the picture is rotated, mirrored or dressed up as a piece of industrial equipment you have never met.
Reading your result
How mechanical reasoning tests are scored
None of the providers reviewed here publishes a pass mark for a mechanical assessment, so the score that matters is the benchmark the employer sets for the role. What you can control is clearer than in most families, because a mechanical result decomposes into principles with names.
- No pass mark is published, and the threshold is the employer's. Pearson, Aon and Saville publish timings and formats, not passing scores. Any cut-off belongs to the hiring organisation, so ask the recruiter whether a target has been disclosed rather than working to a figure found online.
- On a battery, the mechanical section is scored visibly. Saville reports one total score plus individual sub-scores for its combination tests, so inside Swift Technical Aptitude or Swift Apprentice Aptitude the mechanical component stands separately rather than disappearing into the total.
- The score blends knowledge with reasoning. Pearson lists level of knowledge in basic mechanics among the things the BMCT-II measures, alongside problem solving and how quickly new mechanical concepts are learned. A mechanical score therefore reflects what you know as well as how you reason, which no abstract or inductive score does.
- Unanswered questions are part of some designs. Aon states across its range that candidates are not expected to answer every question on a timed assessment, and the BMCT-II's 55 questions in 25 minutes leave roughly 27 seconds each. Accuracy on the principles you know beats coverage of the ones you do not.
- A low score is unusually diagnosable. Because the content is a finite set of principles, sorting practice errors by principle — gears, pulleys, pressure, circuits — tells you exactly what to study next. That is not true of most assessments in this library, and it is the practical upside of a format that partly tests knowledge.
Question formats
What do the questions look like?
The same principles recur across providers, so the list below is the unit to work through rather than any one provider's paper.
- Levers, moments and balance. A load and an effort either side of a pivot. The turning effect is force multiplied by distance from the pivot, so moving the effort further out reduces the force needed in proportion.
- Gears, belts and direction. Meshed gears turn in opposite directions and a belt drive keeps direction unless the belt is crossed. Speed follows the tooth counts: fewer teeth means faster rotation.
- Pulleys and mechanical advantage. A fixed pulley changes direction without reducing the force required. Adding movable pulleys divides the force between the supporting rope sections, at the cost of pulling more rope.
- Pressure, fluids and buoyancy. Pressure is force divided by area, so the same force over a smaller area produces more pressure. Pearson lists hydraulics among the content areas coded in the BMCT-II.
- Basic circuits, heat and motion. Series and parallel paths, switches, simple conduction and expansion, and the relationship between force, mass and acceleration. Pearson lists electricity and heat among its coded content areas.
- Structures, ramps and friction. Inclines trading force for distance, supports sharing a load, and surfaces resisting motion. These items usually ask which arrangement makes a job easier rather than by how much.
Three gears sit in a line, meshed together, with different tooth counts. The question asks which way the last gear turns and how fast. Two of the four options get the direction right and the speed wrong, because they treat the middle gear as part of the ratio. One gets the speed right and the direction wrong, because it counts one reversal instead of two. The item is not hard; it simply punishes answering before you have counted the meshes.
Launch coverage
Which providers use mechanical reasoning tests?
Four launch families assess mechanical reasoning, and only Pearson publishes detailed figures for its own test.
- Bennett Mechanical Comprehension Test (BMCT-II). Pearson lists the BMCT-II at 55 items and 25 minutes timed, delivered online and unsupervised. It states that the test measures the ability to solve problems, to learn new mechanical concepts quickly, the level of knowledge in basic mechanics, and mechanical reasoning and spatial perception, with content coding that includes electricity, heat and hydraulics.
- scales mtu. Aon's mechanical reasoning module measures mechanical and technical understanding using mechanical graphics, with the candidate selecting the correct answer. Aon lists it at 15 minutes and 24 tasks, which is the longest single module in its published range.
- Mechanical Reasoning. Saville publishes Mechanical Reasoning as a single aptitude test with its own free practice test, and inside two batteries: Swift Technical Aptitude at 10 minutes with spatial and diagrammatic reasoning, and Swift Apprentice Aptitude at under 20 minutes across six areas. Saville describes its technical range as assessing the aptitudes needed by production workers, engineers, designers and scientists.
- Verify Mechanical Comprehension. Verify Mechanical Comprehension is one of the nine SHL tracks in Cognivy's launch scope. SHL's public candidate example set does not include a mechanical example, so Cognivy publishes no item count or time limit for it. Use the figures in your own invitation.
Provider names identify the assessment format. Cognivy is independent and is not affiliated with or endorsed by these providers.
What varies, and what does not
Timing, delivery and scoring
Mechanical assessments vary more in length than most families, because some are standalone technical tests and others are one section of a short battery.
- Pearson BMCT-II: 55 items in 25 minutes, timed. That is roughly 27 seconds an item, which is the clearest signal in this family that recognising a principle has to be faster than reasoning one out from first principles.
- Aon scales mtu: 15 minutes, 24 tasks. Aon's longest published module, at around 37 seconds a task. Aon states across its range that candidates are not expected to answer every question on a timed module.
- Saville Swift Technical Aptitude: 10 minutes for three aptitudes. Mechanical reasoning shares that ten minutes with spatial and diagrammatic reasoning, so the mechanical section is short and the pacing is set by the battery rather than by the section.
- Delivery is usually unsupervised. Pearson lists the BMCT-II as unsupervised and delivered online. Whether you may use anything alongside it is set by the instructions attached to your assessment, not by the format.
A repeatable approach
A method that survives the clock
The five steps below are deliberately conservative. On a test averaging under half a minute an item, the aim is to be right the first time.
- 1
Name the principle before you look at the options. Say it: this is a moments question, this is a pressure question. Naming it selects the rule, and it stops you being led by whichever option sounds most confident.
- 2
Predict the answer, then read the options. Commit to a direction or a comparison before you see the choices. Options in this format are written to be individually plausible, and reading them first colours the reasoning.
- 3
Count the connections. Meshes for gears, supporting rope sections for pulleys, distances from the pivot for levers. The count is what fixes the answer, and it is the step a diagram invites you to skip because the picture already looks conclusive.
- 4
Separate direction from magnitude. Answer which way first, then how much. Treating them as one question is how a correct ratio ends up attached to the wrong direction, and both halves are usually offered as options.
- 5
Use proportion, not calculation. Three times the distance means a third of the force. Twice the teeth means half the speed. If you find yourself reaching for arithmetic beyond a simple ratio, you have probably misread the diagram.
What slows progress
Common mistakes, and the fix for each
- Answering from how the diagram feels. Fix: name the principle and state the rule before choosing. Intuition about machinery is often right and is unreliable exactly where item writers place the difficulty.
- Memorising illustrations instead of principles. Fix: after each practice item, describe the underlying rule without referring to the picture. If you cannot, you have learned an answer rather than a principle, and the next diagram will not look the same.
- Missing the effect of distance or size. Fix: check what the question is comparing. Two gears of different sizes turn at different speeds; two positions on a lever exert different moments. Size and distance are usually the whole point of the drawing.
- Counting one reversal in a gear train. Fix: count meshes, not gears. An odd number of meshes reverses the direction, an even number restores it, and an idler gear in the middle changes direction without changing the overall ratio.
- Calculating where a comparison would do. Fix: ask whether the question wants a number or a ranking. On a test averaging under thirty seconds an item, a full calculation is usually a sign that the qualitative route has been missed.
You have seen the method. Employers set the full battery.Every provider, every track, a worked solution on every question.
Get full accessIn practice
How do you read a gear train quickly?
Direction first, and by counting rather than tracing. Every direct mesh reverses the rotation, so count the meshes between the driver and the gear the question asks about: an odd number means it turns opposite to the driver, an even number means it turns the same way. Sample question 1 turns on exactly this — two meshes bring gear C back to the driver's direction, and the most tempting wrong option counts one.
Then take speed from the tooth counts of only the gears the question names. Along a meshed train the product of teeth and speed is preserved, so the driver and the final gear fix the ratio between them and everything in the middle drops out. An idler changes the direction without touching the ratio, which is why 30 teeth at 4 rpm forces a 20-tooth gear to 6 rpm whatever sits between them.
Belts follow the same discipline with one difference: an uncrossed belt keeps the direction and a crossed belt reverses it, while the smaller wheel always turns faster. Counting beats tracing because it is a rule applied once — tracing a five-gear train asks you to hold four reversals in your head, and on an assessment that leaves under half a minute a question, that is where slips come from.
In practice
What does mechanical advantage actually trade away?
Distance, every time. A machine that multiplies force divides movement by the same factor, because force multiplied by distance is conserved through an ideal machine. The lever in sample question 2 balances 12 kg with 4 kg only because the lighter load sits three times further out, and the wheelbarrow in sample question 4 lifts 600 N with 200 N while the handles sweep through three times the height the load gains.
The same ledger runs through ropes and fluids. The pulley system in sample question 3 halves the effort by doubling the rope: two supporting sections mean 2 m pulled through the hands for every metre the crate rises. The press in sample question 5 multiplies force five times while the wide piston creeps at a fifth of the narrow piston's speed, because the displaced oil has nowhere else to go.
This is worth carrying into the test because it prices the options. An option that offers more force with nothing given up describes a machine that cannot exist, and an inverted ratio — the lighter load placed nearer the pivot, the 240 N pull to lift a 120 N crate — fails the trade check at a glance. Asking what is being traded eliminates distractors before any arithmetic starts.
In practice
How do you tell series from parallel in a circuit question?
Count the paths from one battery terminal to the other. A single loop through every component is series: the same current passes through everything, and the battery's voltage is shared out along the way. Branches that split and rejoin are parallel: each branch connects directly across the battery, receives the full voltage, and takes its own share of the current.
The consequences are what the questions test. In series, adding a bulb dims every bulb, and one failed bulb breaks the only path, so all of them go out. In parallel, each bulb burns at full brightness and a failure in one branch leaves the others lit. Sample question 6 rests on the voltage half of this: halving the voltage across a fixed resistance quarters the power it dissipates, which is why the series pair glows dimmer than the parallel pair from an identical battery.
The recurring trap is treating the battery as a source of fixed current. An ideal battery fixes the voltage, and the circuit decides the current — the parallel pair in sample question 6 draws four times the current of the same two bulbs in series. Any option built on the battery pushing the same current through whatever it meets fails on that rule alone.
A clear route
How to prepare in the days you have
The content here is finite and nameable, so a run-up is a matter of working through a list rather than hunting for insight. Work in this order.
- 1
First, list the principles and rate yourself. Levers and moments, gears and belts, pulleys, inclines, pressure and fluids, buoyancy, simple circuits, heat and expansion, force and motion. Mark the ones you cannot state as a rule; those are your study list.
- 2
Next, learn one principle at a time. One diagram, one rule, one sentence you can repeat. Do not mix principles until each rule is something you can state without the picture in front of you.
- 3
Then transfer deliberately. Practise items that use the same principle in visually different systems. Transfer is the skill the test measures, and it does not develop from repeating one illustration.
- 4
Add the provider's breadth. Pearson's BMCT-II covers areas including electricity, heat and hydraulics across 55 items, so a Pearson invitation means breadth matters. A ten-minute section inside a Saville technical battery is a narrower job.
- 5
Finish with timed mixed sets. Around 27 seconds an item for the BMCT-II, around 37 for Aon's scales mtu. Rehearse at the rate your invitation implies, and review every miss by principle rather than by score.
Cognivy uses your assessment date to choose the route rather than asking you to predict a study schedule. When you sit down to practise, you choose the session length that fits that day.
Pace
Getting faster without losing accuracy
Speed here is recognition, not calculation. Four habits produce most of it.
- Sort the item in the first three seconds. Gears, lever, pulley, pressure, circuit. Sorting correctly is most of the work, because each category has one rule and you already know it.
- Answer direction questions by counting. Meshes for gears, and whether a belt is crossed. Counting gives you a rule to apply once, where tracing the motion asks you to hold each stage in your head as you go round.
- Use ratios in whole numbers. Three times lighter means three times further out. Twice the teeth means half the speed. Whole-number proportion is quicker and less error-prone than decimal arithmetic.
- Skip and return on a fixed paper. With 55 items in 25 minutes, one unfamiliar system is worth leaving. A principle you do not know will not arrive by staring, and the next item may be one you do know.
Direct answers
Mechanical reasoning test FAQs
It is an assessment that shows a physical system and asks what will happen to it. Items cover levers, gears, pulleys, pressure and fluids, simple circuits, heat and motion. Pearson describes its own mechanical test as measuring problem solving, how quickly new mechanical concepts are learned, and the level of knowledge in basic mechanics.
It depends on the assessment. Pearson lists the BMCT-II at 55 items and 25 minutes, timed and unsupervised. Aon lists scales mtu at 15 minutes for 24 tasks. Saville lists Swift Technical Aptitude at 10 minutes covering spatial, mechanical and diagrammatic reasoning together. Use the time stated in your own invitation.
Very little. Most items are qualitative — which direction, which is faster, which needs less force — and where a number appears it is normally a simple ratio such as three times the distance for a third of the force. Cognivy teaches the physical principles rather than engineering mathematics.
You need a working grasp of basic mechanical principles rather than a qualification. Pearson does list level of knowledge in basic mechanics among the things the BMCT-II measures, so gaps do cost marks, but the set of principles is small and specific, which makes it a list you can work through rather than an open-ended subject.
Two gears meshed directly always turn in opposite directions, and each further mesh reverses the direction again. Count the meshes rather than the gears: an odd number reverses the direction relative to the driver, and an even number restores it.
The format concentrates in technical hiring. Pearson positions the BMCT-II for technical professions and for recruitment, training and risk management, and Saville describes its technical range as assessing the aptitudes needed by production workers, engineers, designers and scientists.
No provider reviewed here publishes a pass mark. Saville reports a total score with individual sub-scores for its combination tests, and any threshold is set by the employer for the role. Ask the recruiter whether a target has been disclosed rather than working to a figure found online.
No. Cognivy is independent and is not affiliated with or endorsed by any assessment provider. Every question is original material written to teach the physical principle, the reasoning step and the pacing of a named style.