Cheat sheet

Defence Aptitude Assessment Cheat Sheet

Verbal Reasoning

Not publishedof exam

Numerical Reasoning

Not publishedof exam

Work Rate

Not publishedof exam

20 Q in 4 minWork Rate CodingSame column, same order12 seconds per question

Spatial Reasoning

Not publishedof exam

Electrical Comprehension

Not publishedof exam

Mechanical Comprehension

Not publishedof exam

Quick Facts

Exam
Defence Aptitude Assessment
Services
Royal Navy, Marines, RAF
Structure
Six tests, eight timed parts
Questions
128 total
Timers
69 minutes total
Allow
Around 90 minutes
Pass mark
None published; role-dependent
Cost
No fee to candidates
Link valid
14 days, single sitting
Screen
10.2 inches minimum
Calculator
Banned; paper and pencil allowed
Where
At home or AFCO

Six Tests in Order

Verbal, Numerical, Work rate, Spatial, Electrical, Mechanical

Numerical splits in twoSpatial splits in twoEight timed parts total

Some vs All

Some

  • At least one
  • Never proves some not
  • Supports no individual claim

All

  • Every member included
  • Transfers to any member
  • Contrapositive always valid

Weak versus total evidence

Verbal Answer Picker

  1. Asked what is trueOnly guaranteed statements(Reject the plausible)
  2. Option says alwaysFind absolute wording(Else reject it)
  3. Table with conditionsApply footnote first(Then read across)
  4. Some A are BOne overlap only(Proves nothing further)
  5. Effect given, cause askedCheck the converse(Usually invalid)
  6. Two synonyms look closeSubstitute into sentence(Check direction first)

Verbal Reasoning Method

Load
20 questions, 15 minutes
Layout
Four scenarios per test
Pace
About 45 seconds each
Source of truth
Answer only from text
Read order
Question first, then hunt
Definitely true
Must hold in every case
Footnote row
Special conditions override table
Elimination
Cut on strictest requirement first
Scenario reuse
Map facts once, reuse

Quantifier Rules

All A are B
Every A is B
Some
At least one; maybe all
No A are B
Reversible in both directions
Most
More than half
Some vs some not
Some still allows all
Always, never, only
Needs absolute text support
May, often, typically
Easier to justify

Conditional Logic

If A then B
A guarantees B
Contrapositive
Not B, so not A
Converse
Invalid: B never proves A
Inverse
Invalid: not A, not B
Chain
A to B to C
Two some premises
No valid conclusion

Percent Blocks

Ten percent, then halve, then a tenth

10% = move decimal5% = half of ten1% = tenth of ten

Mean vs Median

Mean

  • Total / count
  • Uses every value
  • Dragged by outliers

Median

  • Middle of ordered list
  • Average middle two if even
  • Resists outliers

Average versus middle

Numerical Method Picker

  1. Percentage of a value10% blocks(Halve for 5%)
  2. Fractions to subtractCommon denominator(Check divisibility first)
  3. Fraction and decimal optionsConvert to decimal(Learn the table)
  4. Unknown in an equationReverse the operations(Substitute to check)
  5. Total and quantity givenDivide for unit rate
  6. Speed, distance, timeCover the triangle(Convert decimal hours)
  7. Two workers, one job1/a + 1/b = 1/t(t = ab / (a+b))
  8. Chart carries a multiplierScale every reading(Check units first)

Arithmetic Shortcuts

Load
12 questions, 4 minutes
Pace
20 seconds per question
Percent blocks
Build from 10%, 5%, 1%
15% of 240
24 + 12 = 36
35% of 60
18 + 3 = 21
Subtracting fractions
Match denominators, then subtract
5/6 - 2/3
1/6
3/5 as decimal
0.6
Decimal multiplying
Multiply digits, count places
1.4 x 0.35
0.49
Estimate first
Kills misplaced-point distractors

Fraction to Decimal

1/8
0.125
1/5
0.2
1/4
0.25
1/3
0.333
3/8
0.375
1/2
0.5
5/8
0.625
2/3
0.667
3/4
0.75
7/8
0.875

Algebra and Formulae

Solve 3x + 7 = 25
x = 6
Method
Undo operations in reverse
Check
Substitute the answer back
Unknown over denominator
Multiply both sides first
Negative sign slip
Commonest algebra error
Formula substitution
Replace letters, then calculate

Rate and Work Problems

Speed
distance / time
Time
distance / speed
Distance
speed x time
250 km at 100 km/h
2 hours 30 minutes
Half the speed
Double the time
One worker rate
Job / time
Combined work
1/a + 1/b = 1/t
Two-worker shortcut
t = ab / (a+b)
4 h and 6 h
Together 2.4 hours
Man-hours
Workers x hours = constant
Ratio parts
Divide total by part sum
Unit rate
Divide down to one

Charts and Tables

Load
15 questions, 11 minutes
First check
Axis labels, units, multiplier
Figures in thousands
Scale every value read
Percent of a value
Compute target, then look up
70% of 40,000
28,000
Blank cell
Derive the unit rate
Total vs per item
Check the column header
Question types
Value, trend, or difference
0.5 hours
30 minutes, not 50
0.25 hours
15 minutes
Mean
Total / count
Median
Middle of ordered list
Range
Highest minus lowest

Same Column, Same Order

Same columns, same order - nothing else matters

Translate the code firstOrder beats raw speedSymbols mean nothing

Work Rate vs Rate Maths

Work Rate test

  • Coding and matching grids
  • No arithmetic required
  • 20 questions, 4 minutes

Rate problems

  • Speed, work, unit rates
  • Sit in numerical reasoning
  • Real calculation required

Matching versus calculating

Work Rate Picker

  1. New grid appearsRead the code first(Three items only)
  2. Code given in lettersFind each column(Then swap rows)
  3. Options look similarCheck the order(Order decides it)
  4. Value outside code columnsEliminate that option(Column trap)
  5. You lose your placeRe-read code only(Not the grid)
  6. Past twelve secondsGuess and advance(No carry-over time)

Work Rate Coding

Load
20 questions, 4 minutes
Pace
12 seconds per question
Grid rows
Letters, numbers, pictures
Code
Three items, three columns
The only rule
Same columns, same order
Method
Translate code, then scan
Worked
Code letters -> column numbers
Order trap
Right values, wrong sequence
Column trap
Value from an unused column
Symbols
Meaningless labels; seek no pattern
Lost your place
Re-read the code only
Stuck
Guess, move, never linger

Two Dots Rule

Both dots right, or the option is wrong

Easy object firstEliminate three optionsThen check the hard one

Rotation vs Reflection

Rotation

  • Turning only
  • Clockwise order preserved
  • Can be a valid option

Reflection

  • Mirror image
  • Clockwise order reversed
  • Never reachable by turning

Turned versus flipped

Spatial Elimination Picker

  1. Pieces carry letter edgesMatch same letters(Rotate as needed)
  2. Option looks oversizedReject on size(Check longest edge)
  3. Extra bump or notchReject that option(No piece supplies it)
  4. Two objects, two dotsJudge easier object(Eliminate, then check)
  5. Features run anticlockwiseReject as mirror(Rotation preserves order)
  6. Dot on wrong facesReject that option(Faces never change)

Spatial Part 1: 2D

Load
10 questions, 4 minutes
Task
Join labelled edges, form shape
Labels
Match x to x
Pieces shown
Three or four shapes
Rotation allowed
Turn pieces to align
Joined edges
Vanish inside the outline
Size check
Longest edge caps the answer
Area check
Pieces must total the shape
Extra spike
No piece supplies it

Spatial Part 2: 3D

Load
10 questions, 3 minutes
Pace
18 seconds per question
Task
Two objects, dotted corners
Correct option
Both dots in original corners
Order of work
Judge the easy object
Anchor
Which faces meet the dot
Rotation
Preserves clockwise feature order
Reflection
Reverses it; never a rotation
Mirror trap
Sizes match, handedness wrong

Cube Net Drills

Why drill these
Trains part 2 rotation
Cube net
Six squares, one solid
Opposite faces
Separated by one square
Row of four
Wraps into a band
Ends of that row
Meet each other when folded
Adjacent faces
Share a folding edge
Square count
More or fewer fails

Ohm's Law Triangle

V on top, I and R below

Cover V: I x RCover I: V / RCover R: V / I

Series vs Parallel

Series

  • Resistances add up
  • Same current throughout
  • One break stops all

Parallel

  • Total below smallest resistor
  • Full voltage each branch
  • One break, others run

One path versus many

Electrical Question Picker

  1. Two of V, I, ROhm's law(V = I x R)
  2. Watts askedP = V x I(Or I squared R)
  3. Resistors end to endAdd the resistances(Current shared)
  4. Resistors side by sideLower total resistance(Voltage shared)
  5. Meter inside one branchReads branch current
  6. Meter before the splitReads total current
  7. A switch opensTrace the path(Series kills all)
  8. Worst conductor askedChoose the non-metal

Electrical Core Facts

Load
22 questions, 15 minutes
Current
Flow of charged particles
Current unit
Ampere (A)
Voltage
Potential difference, in volts
Resistance
Opposition to current, ohms
Ohm's law
V = I x R
12 V, 4 ohm
I = 3 A
Power
P = V x I
Power form 2
P = I squared x R
Power form 3
P = V squared / R
Ammeter
In series, reads current
Voltmeter
In parallel, reads voltage

Power Triangle

P on top, V and I below

P = V x II = P / VV = P / I

Ammeter vs Voltmeter

Ammeter

  • Wired in series
  • Reads current, in amps
  • Very low resistance

Voltmeter

  • Wired in parallel
  • Reads potential difference
  • Very high resistance

Through versus across

Series vs Parallel Circuits

Series resistance
Add them: R1 + R2
Series current
Same at every point
Series voltage
Splits across the components
Two 6 ohm, series
12 ohms total
12 V across 12 ohms
1 A drawn
Parallel resistance
Below the smallest resistor
Identical pair, parallel
Half of one resistor
Two 6 ohm, parallel
3 ohms total
12 V across 3 ohms
4 A drawn
Parallel voltage
Full supply each branch
Switch opens, series
Everything stops
Switch opens, parallel
Only that branch stops
Meter after the split
Reads one branch only
Meter before the split
Reads the total current

Conductors and Insulators

Best conductor
Silver, then copper
Why copper wiring
Balances cost and conductivity
Good conductors
Metals with free electrons
Insulators
Rubber, glass, plastic, ceramic
Worst conductor asked
Pick the non-metal
Pure water
Poor conductor
Salty water
Conducts well
Fuse
Melts and breaks the circuit
Cell vs battery
Battery is joined cells

Lever Classes 1-2-3

1 pivot, 2 load, 3 effort - in the middle

Class 1: seesawClass 2: wheelbarrowClass 3: tweezers

Small Driver vs Big Driver

Small gear drives

  • Big gear turns slower
  • More torque delivered
  • Ratio from tooth counts

Big gear drives

  • Small gear turns faster
  • Less torque delivered
  • Same ratio inverted

Speed traded for force

Mechanical Principle Picker

  1. Beam balanced on pivotMoments equation(Distance from pivot)
  2. Ropes lifting a blockCount supporting ropes(That is MA)
  3. Two meshed gearsTooth count ratio(Directions alternate)
  4. Middle gear in trainIgnore for ratio(Idler only)
  5. Piston squeezing gasPressure rises(Volume falls)
  6. Two hydraulic pistonsSame pressure throughout(Force follows area)
  7. Force on small areaPressure formula(P = F / A)
  8. Machine seems freeReject the option(No extra energy)

Levers and Moments

Load
19 questions, 13 minutes
Moment
Force x perpendicular distance
Balance rule
Effort x distance = load x distance
200 N at 0.5 m
50 N at 2 m
Measure from
The pivot, not the end
Class 1
Pivot between effort, load
Class 2
Load between pivot, effort
Class 3
Effort between pivot, load
Class 1 examples
Seesaw, crowbar, scissors
Class 2 examples
Wheelbarrow, nutcracker, bottle opener
Class 3 examples
Tweezers, tongs, fishing rod
Longer effort arm
Less force, more movement

No Free Lunch

Gain force, lose distance - never gain energy

MA = load / effortFriction costs efficiencyWork in = work out

Springs: Series vs Parallel

Series springs

  • Extensions add up
  • Softer overall
  • Same force in each

Parallel springs

  • Load shared between them
  • Stiffer overall
  • Same extension each

Softer versus stiffer

Pulleys and Gears

Fixed pulley
Changes direction only
Fixed pulley MA
1
Movable pulley
Halves the effort
What to count
Ropes supporting the moving block
Four ropes, 400 N
100 N effort
Rope pulled
Four metres per metre lifted
Meshed gears
Turn in opposite directions
Gear speed
Inversely proportional to teeth
20 teeth drives 60
One third the speed
Torque trade
Slower means more torque
Idler gear
Reverses direction, ratio unchanged
Odd gear count
Last matches first direction
Belt, uncrossed
Same direction as driver
Belt, crossed
Reverses the driven pulley

Pressure vs Force

Force

  • Measured in newtons
  • A push or pull
  • Independent of area

Pressure

  • Force / area
  • Measured in pascals
  • Area changes it

Push versus push spread

Pressure, Fluids, Springs

Pressure
P = F / A
Smaller area
Higher pressure, same force
Sealed gas compressed
Pressure rises
Halve the volume
Pressure doubles
Liquids
Effectively incompressible
Hydraulic rule
Pressure acts equally throughout
Bigger output piston
Bigger output force
Hydraulic trade
More force, less movement
Hooke's law
Extension proportional to force
Springs in series
Softer, extends more
Springs in parallel
Stiffer, extends less
Upthrust
Weight of displaced fluid

Tools, Scales, Friction

Spanner
Tightens nuts and bolts
Scale 1:4
Drawing is quarter size
Scale 1:1
Drawing at full size
Micrometer
Measures small thicknesses precisely
Vernier caliper
Measures internal, external, depth
Friction depends on
Materials and normal force
Contact area
No effect on hard surfaces
Static vs sliding
Static friction is greater
Wide tyre
Spreads load on soft ground
Inclined plane
Less force, longer distance
Screw
Inclined plane wrapped round

Mechanical Advantage

MA
Load / effort
Velocity ratio
Effort distance / load distance
Efficiency
Work out / work in
Work
Force x distance
Force gained
Distance always lost
No machine gives
Extra energy or work
Friction
Loses energy as heat

Common Traps

Work rate is not maths

Coding grids Not rate calculations

Rotation versus mirror

Turning preserves order Mirroring reverses it

Ammeter versus voltmeter

Series reads current Parallel reads voltage

Series versus parallel resistance

Series adds up Parallel drops below smallest

Decimal hours versus minutes

0.5 hours 30 minutes, not 50

Some versus some not

Some allows all Never proves an exception

Idler gear versus ratio

Changes direction only Never changes the ratio

Force advantage versus energy

Machines multiply force Never create energy

Beam length versus pivot distance

Measure from pivot Not the whole beam

Practice screen versus test screen

Phone fine for practice 10.2 inches for real

Paper allowed versus AI banned

Pencil and paper fine ChatGPT counts as cheating

Published counts versus unpublished rules

Section loads published Pass mark not published

Last Minute

  1. 1.Six tests, eight timed parts
  2. 2.128 questions, 69 timed minutes
  3. 3.No pass mark; roles set scores
  4. 4.Work rate = coding, not arithmetic
  5. 5.Some means at least one
  6. 6.Percentages: build from 10% blocks
  7. 7.0.5 hours = 30 minutes
  8. 8.Combined work: t = ab/(a+b)
  9. 9.Mirror image is never rotation
  10. 10.Both 3D dots must match
  11. 11.Ohm's law: V = I x R
  12. 12.Series adds; parallel drops resistance
  13. 13.Ammeter series; voltmeter parallel
  14. 14.Moments: force x distance from pivot
  15. 15.Pulley MA = supporting rope count
  16. 16.Meshed gears turn opposite ways
  17. 17.Idler changes direction, not ratio
  18. 18.No calculator; paper and pencil
  19. 19.AI tools count as cheating
  20. 20.Link 14 days, one sitting
  21. 21.Real test needs 10.2-inch screen
  22. 22.Guess before leaving any blank
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