Oaa Assessment Maths Test
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If aircraft A took of at 10am flying at 170 mph and aircraft B took of at 10.45am flying at 230 mph. When would they meet and how far would they have travelled?
Va (Speed of Aircraft A) = 170 mph
Vb (Speed of Aircraft B) = 230 mph
Departure time of A: 10:00
Departure time of A: 10:45
45 minutes = 0.75 hours
After 45 minutes Distance travelled by Aircraft A: D = Va x 45 minutes = 170 x 0.75 = 127.5 miles
Now calculate relative speed of aircraft B: V = Vb - Va = 230 - 170 = 60 mph
Now calculate time taken for Aircraft B to catch up. ie time taken for Aircraft B to travel 127.5 miles at 60 mph: T = 127.5 / 60 = 2.125 hours
Now calculate total distance Aircraft A has travelled: Da = 170 x 2.875 (2.125 + 0.75) = 488.75 miles
Total distance Aircraft B has travelled: Db = 230 x 2.125 = 488.75 miles
Therefore, total distance both aircraft have now travelled: 488.75 + 488.75 = 977.5 miles
Time taken to meet: T = Db / Vb = 488.75 / 230 = 2.125 hours after Aircraft B departs.
This is equivalent of 127.5 minutes (2.125 x 60). So 10:45 + 127.5 minutes = 12:52:30 (12:52pm and 30 seconds).
Or
T = Da / Va = 488.75 / 170 = 2.875 hours after Aircraft A departs. 10:00 + 172.5 = 12:52:30
Va (Speed of Aircraft A) = 170 mph
Vb (Speed of Aircraft B) = 230 mph
Departure time of A: 10:00
Departure time of A: 10:45
45 minutes = 0.75 hours
After 45 minutes Distance travelled by Aircraft A: D = Va x 45 minutes = 170 x 0.75 = 127.5 miles
Now calculate relative speed of aircraft B: V = Vb - Va = 230 - 170 = 60 mph
Now calculate time taken for Aircraft B to catch up. ie time taken for Aircraft B to travel 127.5 miles at 60 mph: T = 127.5 / 60 = 2.125 hours
Now calculate total distance Aircraft A has travelled: Da = 170 x 2.875 (2.125 + 0.75) = 488.75 miles
Total distance Aircraft B has travelled: Db = 230 x 2.125 = 488.75 miles
Therefore, total distance both aircraft have now travelled: 488.75 + 488.75 = 977.5 miles
Time taken to meet: T = Db / Vb = 488.75 / 230 = 2.125 hours after Aircraft B departs.
This is equivalent of 127.5 minutes (2.125 x 60). So 10:45 + 127.5 minutes = 12:52:30 (12:52pm and 30 seconds).
Or
T = Da / Va = 488.75 / 170 = 2.875 hours after Aircraft A departs. 10:00 + 172.5 = 12:52:30
Last edited by Ouseburn; 19th Jul 2008 at 13:45.
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Keep it simple.
The idea of the test is speed and accuracy, aircraft A has 3/4 of an hour head start at 170, so 170x 3/4=127.5
The time for B to catch up is this distance divided by the difference in speeds. 127.5/60=2.125 hours.
The rest should be easy,Ouesburns total distances are wrong though.
They are trying to see if you can work things out quickly, imagine if you were in the air trying to do it the long way, there isn't time.
By the way i'm an old ghit (yes,42!) and i passed OAT last year and i only have 7 O levels and an HNC, no degree. I also worried about the test's, did some revision using some gcse books and passed physics and maths with 100%.
All the best.
The time for B to catch up is this distance divided by the difference in speeds. 127.5/60=2.125 hours.
The rest should be easy,Ouesburns total distances are wrong though.
They are trying to see if you can work things out quickly, imagine if you were in the air trying to do it the long way, there isn't time.
By the way i'm an old ghit (yes,42!) and i passed OAT last year and i only have 7 O levels and an HNC, no degree. I also worried about the test's, did some revision using some gcse books and passed physics and maths with 100%.
All the best.
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distanc travelled
Hi,
At the point the aircraft meet they will have travelled the same distance, 488.75 miles each.
A has travelled for 2.875 hrs at 170 mph=488.75 miles(don't forget the 45 min head start)
B has travelled for 2.125 hrs at 230 mph=488.75 miles
Therefore total distance travelled is 488.75x2=977.5 miles
Nick.
At the point the aircraft meet they will have travelled the same distance, 488.75 miles each.
A has travelled for 2.875 hrs at 170 mph=488.75 miles(don't forget the 45 min head start)
B has travelled for 2.125 hrs at 230 mph=488.75 miles
Therefore total distance travelled is 488.75x2=977.5 miles
Nick.
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roll_over,
Do not be worried about the example above, the questions they will give you will envolve no decimal places, at most possibly 1, nothing like the above
I belive the CD's are 'essential' for the course, after the assesment (someone may correct me on that) But assuming that, if you revise, learn most subjects on the CD I don't see why you would have a problem with the assesment.
My advice is to practice quick maths, quick addition , subtraction, long division etc. Here is a list of the subjects for the START of the course, so the assesment isn't far from this:
MATHS
Algebraic Substitution
Simple equations
Subject of the formulae
Factorisation
Expand and simplify
Indices
Functions
The line
Travel graph
Numbers
Percentages
Areas and volumes
Pythagoras theory and trigonometry
Problems in bearings
Geometric terms
The circle
Vectors
Practice Mental Maths !!
Here is the Physics aswell:
PHYSICS
Mechanics
Work and power
Energy
Potential and kinetic
Input and output energy
Pressure - solid liquids and atmospheric
Principles of Hydraulics
Gears and cogs
Linear motion equations
Gradient
Distance time graph - Velocity time graphs
Force and momentum
Resultant force
Newton's Law
Forces
Mass, weight and density
Vectors and scalars
Center of gravity (moments and balance)
The turning effect of forces
The law of moments: levers
Parallel forces in equilibrium
Couples
Principles of gyros
Principles of piston and turbo jet engines
The Otto cycle (engines)
(You must be familiar with both Imperial and Metric units and be able to convert one to the other)
Sound
Longitudinal waves
Sound waves
Stationary waves
Optics
Sources and reflectors of light
Magnification
Reflection Laws
Refraction
Convex and concave
Magnifying glass
Dispersion
Heat
Heat and temperature
Internal energy
Temp scales: including Kelvin and converting temperature from one scale to another
Heating and cooling curves
Melting
Boiling
Evaporation
Gas pressure
Pressure and temperature of a gas
Volume and temperature of a gas
Volume and pressure of a gas
Expansion on matter
Heat transmission: - Conduction - Convection and radiation
Boyles, Charles and the General Gas Laws
Magnetism (Ideally you should understand the following but it is not essential)
Magnets
Theory of magnetism
Magnetic fields and neutral points
Magnetic effect of current through wire - coil and solenoid
Electromagnetic
Motor effect of current through a wire
The simple D.c motor
Electromagnetic induction in a straight wire - solenoid
Transformers
The transmission of electrical power
Fields and rule
Current electricity (Ideally you should understand the following but it is not essential)
Circuit components and diagram
Electric circuits
Potential Difference
Electrical resistance
Ohms law
Series parallel and mixed circuits
Heating effect of an electric current
Electrical power
Direct current and alternating current
The live, neutral and earth wires
Circuit Breakers, fuses and switches
Principles of electric generators
General
General outline of metals and materials commonly used in aircraft
The principles of aerodynamic lift
Cloud formation and general principles of meteorology
Confidence in handling numbers and ability in mental arithmetic
It seems like a lot, but once you get your head down, your see some of it fits in with eachother nicely. Considering I havn't done Physics in 10 years? And I did double Science, not Physics seperately at GCSE and got 13/15 it isn't as bad as it seems.
As for the maths, there will be a question on Pythagoras in your maths, so remember to cover that. Just practice mental maths, I can't say that enough. None of the questions are exactly hard but with the limited time, you really don't have time to spend on the easier questions as later on your need it! This is were I didn't do so great, double checking answers wasted time I needed later on.
Persephone - I did it Nickys way
Do not be worried about the example above, the questions they will give you will envolve no decimal places, at most possibly 1, nothing like the above
I belive the CD's are 'essential' for the course, after the assesment (someone may correct me on that) But assuming that, if you revise, learn most subjects on the CD I don't see why you would have a problem with the assesment.
My advice is to practice quick maths, quick addition , subtraction, long division etc. Here is a list of the subjects for the START of the course, so the assesment isn't far from this:
MATHS
Algebraic Substitution
Simple equations
Subject of the formulae
Factorisation
Expand and simplify
Indices
Functions
The line
Travel graph
Numbers
Percentages
Areas and volumes
Pythagoras theory and trigonometry
Problems in bearings
Geometric terms
The circle
Vectors
Practice Mental Maths !!
Here is the Physics aswell:
PHYSICS
Mechanics
Work and power
Energy
Potential and kinetic
Input and output energy
Pressure - solid liquids and atmospheric
Principles of Hydraulics
Gears and cogs
Linear motion equations
Gradient
Distance time graph - Velocity time graphs
Force and momentum
Resultant force
Newton's Law
Forces
Mass, weight and density
Vectors and scalars
Center of gravity (moments and balance)
The turning effect of forces
The law of moments: levers
Parallel forces in equilibrium
Couples
Principles of gyros
Principles of piston and turbo jet engines
The Otto cycle (engines)
(You must be familiar with both Imperial and Metric units and be able to convert one to the other)
Sound
Longitudinal waves
Sound waves
Stationary waves
Optics
Sources and reflectors of light
Magnification
Reflection Laws
Refraction
Convex and concave
Magnifying glass
Dispersion
Heat
Heat and temperature
Internal energy
Temp scales: including Kelvin and converting temperature from one scale to another
Heating and cooling curves
Melting
Boiling
Evaporation
Gas pressure
Pressure and temperature of a gas
Volume and temperature of a gas
Volume and pressure of a gas
Expansion on matter
Heat transmission: - Conduction - Convection and radiation
Boyles, Charles and the General Gas Laws
Magnetism (Ideally you should understand the following but it is not essential)
Magnets
Theory of magnetism
Magnetic fields and neutral points
Magnetic effect of current through wire - coil and solenoid
Electromagnetic
Motor effect of current through a wire
The simple D.c motor
Electromagnetic induction in a straight wire - solenoid
Transformers
The transmission of electrical power
Fields and rule
Current electricity (Ideally you should understand the following but it is not essential)
Circuit components and diagram
Electric circuits
Potential Difference
Electrical resistance
Ohms law
Series parallel and mixed circuits
Heating effect of an electric current
Electrical power
Direct current and alternating current
The live, neutral and earth wires
Circuit Breakers, fuses and switches
Principles of electric generators
General
General outline of metals and materials commonly used in aircraft
The principles of aerodynamic lift
Cloud formation and general principles of meteorology
Confidence in handling numbers and ability in mental arithmetic
It seems like a lot, but once you get your head down, your see some of it fits in with eachother nicely. Considering I havn't done Physics in 10 years? And I did double Science, not Physics seperately at GCSE and got 13/15 it isn't as bad as it seems.
As for the maths, there will be a question on Pythagoras in your maths, so remember to cover that. Just practice mental maths, I can't say that enough. None of the questions are exactly hard but with the limited time, you really don't have time to spend on the easier questions as later on your need it! This is were I didn't do so great, double checking answers wasted time I needed later on.
Persephone - I did it Nickys way
Last edited by 4KBeta; 21st Jul 2008 at 09:29.
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4kbeta quote "I worked it out as 12:51ish & 483ish miles"
You did it nicky's way and ended up with a different answer
As for nicky's answer, well it depends on how you read the question. I'll stick with my original answer.
You did it nicky's way and ended up with a different answer
As for nicky's answer, well it depends on how you read the question. I'll stick with my original answer.
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by '1251ish' I meant roughly. Didn't have time to work it out exactly but I knew it would be around 1251-1252 :-)
Anyhow its irrelevant, each to there own, an answer one way is the same as the answer the other way
Anyhow its irrelevant, each to there own, an answer one way is the same as the answer the other way
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Hi guys, some really useful stuff here!
Hopefully giving the OAA assessment a go some time during the next couple of weeks. Got a pretty clear idea on the maths test, but what's the physics like? Is it fairly similar to the Cabair assessment (for anyone who has done that as well)
Also, if anyone wants any info on the Cabair assessment, then just send me a message
Hopefully giving the OAA assessment a go some time during the next couple of weeks. Got a pretty clear idea on the maths test, but what's the physics like? Is it fairly similar to the Cabair assessment (for anyone who has done that as well)
Also, if anyone wants any info on the Cabair assessment, then just send me a message
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Finite_World..
the sorts of things that were in the physics test when I was there included how a 4 stroke engine works, how clouds are formed (meteorology) newton's laws, moments (M=Force x perpendicular distance) distance/ speed/ time question.
the basic GCSE physics as what's on the bitesize web site
hope that helps
the sorts of things that were in the physics test when I was there included how a 4 stroke engine works, how clouds are formed (meteorology) newton's laws, moments (M=Force x perpendicular distance) distance/ speed/ time question.
the basic GCSE physics as what's on the bitesize web site
hope that helps
