Alternative Education Equivalency (AEE) Testsdfraeea.com/download/year10-candidate-preparation-kit.pdf · The Alternative Education Equivalency Scheme ... 2. Test Details The tests

Alternative Education Equivalency (AEE) Tests

Year 10

Candidate Preparation Kit

Alternative Education Equivalency Scheme (AEES) Year 10 Candidate Preparation Kit

© 2017 VETASSESS, Level 5, 478 Albert Street, East Melbourne Victoria 3002.

All rights reserved. No part of this book may be reproduced without written permission from

VETASSESS.

20170901

Year 10 Candidate Preparation Kit

Alternative Education Equivalency Scheme (AEES) Tests

INFORMATION ABOUT THE AEES TESTS

1. Overview of the Alternative Education Equivalency Scheme (AEES) tests

2. Test Details

3. Non-Established Venue Testing

4. Candidate Test Attempts

5. Candidate Reminders

6. Results

7. Types of Questions in the AEES Tests

8. How to Prepare for the AEES Tests

9. Reference Materials

10. Sample Questions

11. Attending the Test Session

12. Stationery and Personal Belongings

13. Test Rules

14. Breaching the Test Rules

15. Consequences of Breaching the Test Rules

16. Accessing your Personal Records and Appeals

APPENDICES

A. How to Prepare for the AEES Tests

B. Reference Materials

C. Sample Questions

© 2017 VETASSESS - Leve l 5 , 478 A lber t St ree t , Eas t Me lbourne V ic to r ia 3002 .

A l l r igh ts reserved . No par t of th is book may be reproduced w ithout wr i t ten perm iss ion f rom VETASSESS .

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D. Answers to Sample Questions



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1. Overview of the Alternative Education Equivalency Scheme (AEES) tests

The Alternative Education Equivalency Scheme (AEES) is an alternative pathway for some

Australian Defence Force candidates who:

• are eligible in all other areas

• do not possess evidence of the required education standard, or

• do not have the required education standard for a specific Defence Force Recruiting

employment category, and

• are able to demonstrate two (2) years of relevant work / life experience and skills post

completion of school

There are two independent levels of the AEES tests:

• Year 10: English, General Mathematics, Advanced Mathematics & Science

• Year 12: English, General Mathematics, Advanced Mathematics & Science

2. Test Details

The tests are independent of each other and you may be required to complete one or more

tests at the required year level.

Below is a table with the description of the Year 10 tests.

Tests Time Allowed Items

English

a) Multiple-choice: reading, comprehension

and language 30 minutes 50

b) Written Expression Task 30 minutes 1 task

General Mathematics

Multiple-choice 30 minutes 30

Advanced Mathematics


Science




8

Department of Defence, Canberra. ACT 2600. Australia.

3. Non-Established Venue Testing

Candidates who live further than 100 km away from an established test venue may sit the tests

at a non-established venue. Please refer to VETASSESS for more information.

Candidates are responsible for sourcing a non-established venue and an appropriate supervisor

and must pay for any costs associated with the venue and the supervisor.

4. Candidate Test Attempts

You have 92 days to complete a Test Attempt.

You will be given two Test Attempts per subject.

If you do not sit the test/s within the 92 day Test Attempt period, you forfeit the Test

Attempt and this counts as one of your Test Attempts.

You will be given a further 92 day period to complete a second Test Attempt.

If you need to defer your testing within the 92 day Test Attempt period, we will

attempt to re-book your test within the 92 day period.

Please refer to the confirmation letter or candidate voucher sent from VETASSESS for:

• Test Attempt number

• Test Attempt start date

• Test Attempt expiry date

5. Candidate Reminders

Please take note of your ‘Test Attempt expiry date/s.’ (refer confirmation letter / candidate voucher).

You are required to confirm you are attending the test session booked for you. On receipt of a

text message or email from VETASSESS, please reply to confirm or cancel your testing.

Please be aware if you cancel your testing by email or text message, we cannot guarantee

there will be another test date available during the 92 day Test Attempt period. If your testing

cannot be rebooked within this 92 day Test Attempt period, you will forfeit the Test Attempt.

This will count as one of your Test Attempts.

6. Results

Your result for the multiple-choice tests is the number of correct answers given. For the English

assessment, your result is a combination of the multiple-choice test and the writing task scores.



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VETASSESS will report your results to Defence Force Recruiting. You will need to contact

Defence Force Recruiting on 13 19 02 to be advised of your results. Please note, we are unable

to advise you directly of your results or provide you with a results statement.

Advice on your performance against individual topics in the test/s is not available as the results

processing does not include this analysis.



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7. Types of Questions in the AEES Tests

Below is an overview of the content of each test.

ENGLISH

The questions in these test components are based on nationally derived standards and assess

functional knowledge and the application and use of the skills.

The strands covered within these two components are:

• Reading & Comprehension

• Writing

• Language structure and use

• Written Expression Task

GENERAL MATHEMATICS

The questions in this test are based on nationally derived standards and assess functional

knowledge and the application and use of the skills.

The strands covered in this test are:

• Space

• Number

• Measurement

• Chance & Data

• Algebra

• Reasoning & Strategies

ADVANCED MATHEMATICS

This test is required for technical trades. The questions in the test are based on the draft

‘Australian Curriculum’ for Year 10A Mathematics. The ‘Curriculum Descriptions’ can be viewed

at:

www.australiancurriculum.edu.au/Mathematics/Curriculum/F-10

The test assesses functional knowledge and the application of the mathematical skills. The

topic areas covered in the test are:

http://www.australiancurriculum.edu.au/Mathematics/Curriculum/F-10



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• Working with numbers:

multiplication, division, addition, subtraction

fractions, decimals, percentages

rates: km/hr, $/kg, $/m, distance/speed/time; time calculations

location & direction

• Ratio & Proportion

• Money & Financial Mathematics

money transactions

simple interest

compound interest



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• Real Numbers

rational & irrational numbers

surds & indices

logarithms

• Patterns & Algebra

factorising

polynomials

factor theorem

remainder theorem

• Linear & Non-linear Relationships

linear equations

parabolas

hyperbolas

circles

exponential functions

exponential equations

monic & non-monic quadratic expressions

quadratic equations

• Using Units of Measurement

length, weight, mass, capacity, time, temperature

calculate & estimate measurements

area & volume

pyramids, cones, spheres & related composite solids

• Geometric Reasoning

properties of circles

• Pythagoras & Trigonometry

apply sine, cosine & area rules for any triangle

trigonometric functions

trigonometric equations

use periodicity and symmetry



13

solve three-dimensional problems in right-angled triangles

• Chance

Probability

• Data Representation & Interpretation

mean & standard deviation of data

compare data sets

bivariate numerical data sets



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SCIENCE

The questions in this test are based on nationally derived standards and assess functional

knowledge and the application and use of the skills.

The strands covered in this test are:

• Physics

Balance

Pressure

Frequency

Speed

Force

Reflection

Circuits

Efficiency

Pulleys

Energy & Springs

Thinking Scientifically

• Chemistry

Solubility/reactivity

Indicators

Solids

Equilibrium

Elements

• Biology

Classify

Populations

Photosynthesis

• Environmental Science

Salinity/Soil HP

Species

• Earth and Space



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Humidity

Planets

8. How to Prepare for the AEES Tests

To assist you in your preparation for the AEES tests, useful revision tips and helpful information

is provided; see Appendix A.



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9. Reference Materials

Ask your local library for reference books. We also recommend using a tutor from within your

local community.

There are many relevant text books available across Australia that would provide reference

material for each test. A list of text books is provided; see Appendix B.

The text books listed can be reviewed online and ordered through the corresponding publisher

website. There are also many other relevant text books available from these publishers that

would provide suitable reference material.

Publisher Websites:

• Jacaranda: www.jaconline.com.au

• Oxford University Press: www.oup.com.au

• Pearson Australia: www.pearson.com.au

• Haese Mathematics: www.haesemathematics.com.au

• Nelson Cengage Australia: www.cengage.com.au/secondary

• Macmillan Education Australia: www.macmillan.com.au

10. Sample Questions

Year 10 Sample Questions for each topic area have been provided to show the types of items

in the test but they do not necessarily indicate the full range of questions or item difficulty, see

Appendix C. For answers to the sample questions, see Appendix D.

11. Attending the Test Session

On the day of the AEES tests, you must present at the test venue at the time specified in the

confirmation letter received from VETASSESS.

When you arrive at the test venue on the day, you must register before the test session.

You must bring the following:

Candidate Voucher (sent from VETASSESS)

one form of photographic identification (includes: drivers licence, learner’s permit, boat

licence, passport (current), student identification card, employment identification card,

proof of age card or other identification with a photograph that shows your full name)

http://www.jaconline.com.au/

http://www.oup.com.au/

http://www.pearson.com.au/

http://www.haesemathematics.com.au/

http://www.cengage.com.au/secondary

http://www.macmillan.com.au/



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If you do NOT have photographic identification, call VETASSESS on 03 9655 4849.

Please note: you will NOT be admitted to the test room without the above items.



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12. Stationery and Personal Belongings

STATIONERY

You will need to bring:

stationery: pens, 2B pencils, soft eraser, sharpener

calculator: silent, battery-operated, non-programmable scientific calculator (for use in

the Mathematics and Science tests only)

ruler (for use in the Year 12 Advanced Mathematics test only)

bottled water (recommended)

Please note:

mobile phones with calculator functionality and CAS/graphics calculators are not

permitted

you will not be permitted to borrow a calculator from another candidate after entering

the test room

it is your responsibility to ensure the calculator is in good working order

we recommend you take extra batteries to the test session

spare calculators and spare batteries will not be available at the test session

PERSONAL BELONGINGS

no dictionary of any kind is permitted in the test room

mobile phones, music players and other electronic devices must be switched off

personal items brought into the test room must be stored in the designated area or

under the desk

MATERIALS PROVIDED ON THE DAY

Once the test session commences, you will be issued with the following test materials:

test booklets

answer sheet

working space sheets (note paper)



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13. Test Rules

You will only be admitted to the test room if you have completed the Candidate Registration

procedure on arrival at the test venue. You will not be permitted to enter the test room after

the test session has commenced.

You are required to observe the rules and instructions normally applied to the proper conduct

of tests:

• You must not attempt to gain an unfair advantage from supervisors, other candidates

or any other personnel involved with the AEES tests at any time during the assessment

process

• You are not permitted to communicate with any other candidate in the test room

• You are not permitted to copy work from any other candidate

• You are not permitted to use any unauthorised electronic devices

• You must not remove any test materials whatsoever from the test room

• You are not permitted to leave the test room after the commencement of the test

session, except:

temporarily due to illness

for a toilet break

• You are required to remain in the test room until you have completed all the tests you

are booked to complete

• You are permitted to leave the test room permanently, but not until the completion of

the particular test component, so as not to disturb others

• If you leave the test room permanently during the test, you will be considered to have

abandoned the test and your answer sheet will not be marked

• You may not re-start or re-attempt a test you have abandoned on the same day

• You may re-enter the test room for other tests but only in the administration period

between tests

14. Breaching the Test Rules

VETASSESS views any breach of rules or instructions extremely seriously.

If you suspect there has been a breach of the test rules, you may complete an Incident Report

form at the test session or contact VETASSESS.

If the supervisor suspects a candidate of breaching any rule or instruction during the test



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session, the incident will be reported to VETASSESS in writing with the precise nature of the

alleged breach and the relevant circumstances.

The supervisor may interview a candidate to gather information about the alleged breach when

the test session has been completed.

VETASSESS may require the alleged breach to be investigated further.



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15. Consequences of Breaching the Test Rules

If, after investigation, a candidate has been found to have breached any rule or instruction

related to the test session, VETASSESS may:

• inform Defence Force Recruiting of the nature of the breach and take any other

appropriate action in collaboration with Defence Force Recruiting

• order the cancellation of a candidate’s results in any assessments undertaken

If any penalty is imposed, the candidate will be advised in writing by VETASSESS.

16. Accessing your personal records and Appeals

To make an application to access your personal records with VETASSESS or appeal your results,

contact VETASSESS in writing with the details of your request.



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Appendix A How to Prepare for the AEES Tests

Study Space

Your study space will impact on your level of concentration and the quality of your revision.

Following are some tips on how to choose a study space that maximises your study time:

• Choose a private study space to ensure your study time is free of distractions, and

interruptions – hang a “do not disturb” sign on the door if necessary!

• Your table needs to be large enough for your books, computer and any other

resources you will use during your study session.

• Make sure your chair is comfortable and supportive to avoid backache but not too

comfortable that you fall asleep!

• Make sure you have adequate lighting to see clearly.

• Make sure the room temperature is comfortable enough for you to concentrate but

remember: if the room is too warm you may fall asleep!

• Prepare your study space with the supplies you will need – pens, pencils, eraser,

sharpener, paper, calculator etc.

• Turn off your mobile phone.

• Turn the television and stereo off or turn the volume down low (if you must have them

on at all!)

Tips on Revision

How you perform in the assessment will depend on how well prepared you are. Following are

a few revision techniques to help you maximise your study time:

• Identify your weak areas early and get assistance, if necessary, from friends, tutors or

books.

• Pace your studying over time – do not attempt to revise everything in one study

session!

• Be realistic about how much time you need to revise for each subject. For example, if

you are strong in English, but not so strong in Mathematics, spend more time

practising Mathematics equations and problems.

• Try to concentrate on one subject at a time – jumping between Mathematics and

Science, for example, may lead to confusion.



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• Try to ‘internalise’ the important ideas, facts, events, processes and theories.

• Try revising by writing summaries, theories or formulas. Drawing pictures is also an

effective way to recall information.

• Familiarise yourself with the different types of questions and revise the topics given.



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Effective Strategies for Undertaking Tests

Following are a few tips on effective test taking strategies:

• Listen carefully to all instructions you are given by the supervisor.

• Read the test instructions on the test paper very carefully.

• Once the test starts, look through the test paper to see how much you have to do.

• Read all the questions fully and carefully.

• Answer the items you find easiest first - if you get stuck on a difficult item early in the

test, you may not get to answer items that you know.

• Plan your time so you have time to review your answers.

• Take the time to do the best work you can.

Tips for Multiple-Choice Tests

• Read all the answer choices before selecting one - it is just as likely for the last answer

choice to be correct as the first.

• Make sure you mark your answer against the corresponding question on the answer

sheet, especially if you skip between questions.

• You must give one answer only per question.

• If you do not answer a question, the question will not be marked.

• Do not change your initial answer unless you are sure another answer choice is correct.

• If you give more than one answer, it is automatically incorrect even if one of the

answers is the correct answer.

• If you make a mistake rub it out with your eraser - do not cross out a mistake.

• No marks will be deducted for incorrect answers.

• If you don’t know the answer at all, try to eliminate any answers you think are wrong

and then make a selection from the remaining options.

• Answer all questions, even if you have to guess.

Tips for English Written Expression Task

• You may be required to describe a situation, construct an argument or express a point

of view.

• Re-read the question and underline the key words so you are clear on what you need

to write.

• Your writing will be judged on how you express yourself, as well as your content and



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use of language.

• Spelling and punctuation will be taken into account as part of the assessment criteria.

• Plan out a response on draft paper first then produce a coherent and considered

response to the topic. (Draft paper is provided in the test session.)

• Make sure your response directly addresses the question asked.



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Test Anxiety

Most candidates will feel some anxiety leading up to a test but too much anxiety can interfere

with your concentration and ability to retain information.

A little anxiety can be helpful in energising you and motivating you to prepare but anxiety in

the test session can affect your performance.

Test anxiety can take many forms. Here are the most common signs:

• You find it difficult to start studying or you become easily distracted while studying.

• You expect a low mark, no matter how much time you spend preparing.

• During the test you have physical symptoms, such as difficulty breathing, upset

stomach, sweaty palms, headache, tension, back stiffness.

• You experience disorganised thinking, have difficulty remembering information or

become easily distracted during the test.

Test Anxiety Remedies

The good news is that you can manage your anxiety to maximise your preparation and

alleviate anxiety during the test session.

Using the tips and strategies outlined in this section “How to Prepare for the AEES Tests”, you

can boost concentration during your study time and reduce anxiety during the test session to

perform at your best on the day.

Important points to remember:

• Check the date, time and location of the test session and make sure you take all the

supplies required for the test session.

• Maintain a positive attitude so you stay motivated during your preparations.

• See the assessment as an opportunity to demonstrate what you know.

• Eat well leading up to the test session and eat a light nutritious meal before the test

session to assist concentration.

• Try to get a good sleep the night before the test session.

• Stay relaxed and positive during the test session and use slow, deep breathing to calm

yourself when you’re feeling stressed or nervous.

• Use positive affirmations to support yourself during the test session, such as “I am

calm and confident” or “I can do this.”



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Appendix B Reference Materials

Following is a list of some of the leading publications in Australia for each test.

This list provides suggested reference material only and VETASSESS does not guarantee these

books are available or that the topic areas in the test are covered in these text books.

Year 10 English

Title: English is 10

Authors: Gardiner

Publisher: Jacaranda

Date of Publication: 2012

Title: English Skills Builder 1 AC Edition Student Book + obook/assess (4th edition)

Authors: Mary Manning, Margaret McKenzie, Michael Horne

Publisher: Oxford University Press

Date of Publication: 2013

Title: English Skills Builder 2 AC Edition Student Book + obook/assess (4th edition)

Authors: Mary Manning, Margaret McKenzie, Michael Horne


Year of Publication: 2013

Title: Oxford English 1 Knowledge and Skills Australian Curriculum Student Book + ob

Authors: Paul Grover



Title: Pearson English 10 Student Book/Activity Book Value Pack

Authors: Michael Pryor

Publisher: Pearson Australia




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Year 10 General Mathematics

Title: Pearson Mathematics 10 – 10A Essentials Edition Student Book

Authors: David Coffey



Title: Mathematics for Australia 10

Author: Sandra Haese, Michael Haese, Mark Humphries

Publisher: Haese Mathematics


Title: Maths Quest 10 + 10A for the Australian Curriculum 2E & eBookPlus

Author: Boucher



Title: New Century Maths 10 for The Australian Curriculum NSW

Author: David Badger, Klaas Bootsma, Sarah Hamper

Publisher: Nelson Cengage Learning




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Year 10 Advanced Mathematics

Title: Pearson Mathematics 10 + 10A for the Australian Curriculum 2E & eBookPLUS

Author: Boucher



Title: Pearson Mathematics 10 – 10A Essentials Edition Student Book

Authors: Coffey, David et al



Title: Pearson Mathematics 10 – 10A Essentials Edition - Value Pack

Authors: Coffey, David et al



Title: Mathematics for Australia 10A

Author/Series: Michael Haese, Sandra Haese, Mark Humphries

Publisher: Haese Mathematics


Title: New Century Maths Advanced 10+10A for The Australian Curriculum NSW Stage 5.2/5.3

Author: David Badger, Klaas Bootsma, Sarah Hamper





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Year 10 Science

Title: Nelson iScience for the Australian Curriculum Year 10

Author: Annie Termaat, Deb Smith, Neil Champion, Sandra Bishop, Xenia Pappas



Title: Pearson Science 10 Student Book

Authors: Rickard, Greg et al



Title: Oxford Big Ideas Science 10 AC Student Book + obk/as

Authors: Sally Cash, Geoff Quinton, Craig Tilley, Emma Craven



Title: Science Quest 10 Australian Curriculum Edition

Authors: Lofts





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Appendix C Sample Questions

English

The following examples show the types of items in the test, but do not necessarily indicate the

full range of items or test difficulty. For answers to these sample questions, see Appendix D.

ENGLISH COMPREHENSION

Some questions in the multiple-choice test are based on passages or pieces of writing and you

will be required to answer questions recognising the meaning of words, identifying details,

sequencing events in logical order, making inferences, and so on.

Read the following passage and then answer example questions 1 and 2.

When something dies, microbes start to use the dead material as food for their own growth.

The process is called decay. It is the way dead things disappear from our world, so that new

things can grow. By breaking down dead material into simple substances that return to the air

and soil, microbes make it possible for all other forms of life to exist.

Adapted from “Childcraft – Holidays and Customs Volume 9”

Example 1 What do microbes use as food?

A. Soil

B. Living substances

C. Air

D. Dead material

Example 2 “Decay” is a process in which…

A. air and soil are absorbed.

B. dead material is broken down.

C. microbes are set free.

D. soil mixes with air.



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Study the following letter and answer example questions 3 to 5.

Dear Fiona,

My problem is a serious one. My family is not close. We all fight a lot amongst ourselves

(especially Mum and Dad). We have tried counselling but it only helps for a few days and then

we are back to our normal selves.

Peter (aged 14)

Example 3 The situation in Peter’s family is not…

A. delightful.

B. disruptive.

C. disheartening.

D. disturbing.

Example 4 Which sentence would best serve as a conclusion to Peter’s letter?

A. I’m not kidding, I need new parents!

B. I am pleased with the situation.

C. Do you think Mum and Dad are normal?

D. I really need your help and advice.

Example 5 Which would be the least positive reply to this letter?

A. Dealing with this problem now can help you overcome other obstacles in

your life.

B. Lots and lots of teenagers have had bad family experiences – you need to

work on your immature attitude.

C. Use this bad experience as a springboard to success rather than as an

obstacle in your life.

D. It’s empowering to know that if your family will not change themselves, you

can change yourself.

_______________________________________________________________________________________

Example 6 Which word is spelt correctly?

A. syrinje

B. sirinje



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C. syringe

D. surringe

Example 7 Which word or phrase best starts the following sentence?

…going to the post office.

A. Were…

B. Sam and I are…

C. Sam and me are…

D. Me and Sam are…



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Example 8 Which word or phrase has the same meaning as the underlined phrase?

Restaurants must strictly follow health and hygiene standards.

A. abide by

B. think about

C. agree with

D. clarify

Example 9 Select the word that is closest in meaning to the word allow.

A. succeed

B. reveal

C. enable

D. disclose

Example 10 The underlined part of the following sentence is incorrect. Which of the

following phrases would best complete the sentence?

Jane would like to do that new course if finding the time.

A. having she had the time.

B. when having the time.

C. if she could find the time.

D. being that the time is found.

Example 11 Which part of the following sentence is incorrect?

Lim and me are going to the city to do some shopping.

A. Lim and me

B. the city

C. are going

D. to do

Example 12 Select the word or phrase that best completes the following sentence.

The plumber was qualified and well mannered … she didn’t do a good job.

A. therefore

B. besides

C. also



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D. but

Example 13 What is the relationship between the following two sentences?

Voula purchased new shoes. The heels of her old shoes were worn.

A. The second sentence contradicts the first.

B. The second sentence makes a judgment about Voula.

C. The second sentence states the cause of the first.

D. The first sentence states the cause of the second.



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Example 14 Where should an apostrophe be in the following sentence?

Sarahs cats loved the treats they were given.

A. Sarah’s

B. cat’s

C. treat’s

D. we’re

Example 15 Which of the following group of words should be capitalised?

A. melbourne, shopping, venue

B. brisbane, street, place

C. perth, computer, scissors

D. sydney, europe, elizabeth



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General Mathematics


full range of items or test difficulty. For the General Mathematics test, you may use a silent,

battery-operated, non-programmable scientific calculator (not CAS/graphics calculator). For

answers to these sample questions, see Appendix D.

Formulae

The following formulae may be used in your calculations:

AREA AND VOLUME

• Area of rectangle = length x width

• Area of triangle = ½ base x height

• Volume of a prism = area of base x height

THEOREM OF PYTHAGORAS

• In any right-angled triangle: c2 = a2 + b2

TEMPERATURE CONVERSION FORMULA

Degrees Celsius to degrees Fahrenheit:

• ºF = (ºC x 1.8) + 32

b

a

c



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TRIGONOMETRY

In any right-angled triangle:

sin θ = 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒

ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒

cos θ = 𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡


tan θ = 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒

𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡

GROWTH AND DECAY FORMULAE

• Simple growth or decay: A = P (1± ni)

• Compound growth or decay: A = P (1± i)n

Where:

A = amount at the end of n years

P = principal

n = number of years

i = interest rate per year, r % = r

100

Opposite side

Adjacent side

Hypotenuse

θ



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NUMBER

Example 1 0.3 x 0.2 =

A. 0.5

B. 0.05

C. 0.6

D. 0.06

E. 0.09

Example 2 Which of the following fractions represents the largest portion?

A. 1

8

B. 3

9

C. 3

16

D. 11

36

E. 15

64

Example 3 Green and brown paint are to be mixed in the ratio 5:3. If the total amount of

paint is to be 4 litres, how many litres of green paint will be needed?

A. 0.5

B. 1.0

C. 1.5

D. 2.0

E. 2.5

Example 4 63 =

A. 216

B. 128

C. 64

D. 36

E. 18



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SPACE

Example 5 What is the area of the shaded region?

A. 450 mm2

B. 352 mm2

C. 401 mm2

D. 98 mm2

E. 49 mm2

MEASUREMENT

Example 6 How long will it take a person to cover a distance of 240 km by car at a constant

speed of 100 km/h?

A. 2 hr 15 min

B. 2 hr 24 min

C. 2 hr 36 min

D. 2 hr 40 min

E. 2 hr 42 min



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CHANCE AND DATA

Example 7 A series of weights were hung from a coil spring. The data collected is shown in

the graph below.

The spring length for a weight of 300 g is most likely to be closest to:

A. 18 mm

B. 28 mm

C. 30 mm

D. 32 mm

E. 35 mm

ALGEBRA

Example 8 If x and y are positive whole numbers, what is the smallest value of x + y such

that

2x + 5y is divisible by 16?

A. 1

B. 3

C. 5

D. 7

E. 9

Example 9 What is the hundredth number in the following sequence?

3, 7, 11, 15, 19, …

A. 395

B. 399



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C. 403

D. 407

E. 411



45

REASONING AND STRATEGIES

Example 10 The mass of a jar filled with jam is 1.125 kg. The same jar half-filled with jam has

a mass of 0.875 kg. Determine the mass of the empty jar, in kilograms.

A. 0.625

B. 0.500

C. 0.375

D. 0.250

E. 0.125



46


Advanced Mathematics


full range of items or test difficulty. For the Advanced Mathematics test, you may use a silent,

battery-operated, non-programmable scientific calculator (not CAS/graphics calculator). For

answers to these sample questions, see Appendix D.

Formulae

The following formulae may be used in your calculations:

MEASUREMENT

• Area of rectangle = length x width

• Area of triangle = ½ base x height = ½ absinC (where C is the included angle)

• Area of a circle = π x radius²

• Circumference of a circle = 2π x radius

• Volume of a sphere = 4

3π x radius³

• Surface area of a sphere = 4π x radius²

• Volume of any regular prism = area of base x height

• Volume of any right pyramid = ⅓ area of base x height

• Volume of cylinder = πr2 × h where r = radius, h = height

• Total surface area of cylinder = 2πr2 + 2πrh where r = radius, h = height

• Volume of a cone = ⅓πr²h

UNITS

• 100 cm = 1 metre

• 1000 m = 1 kilometre

• 1000 cm3 = 1000 ml = 1 Litre

TEMPERATURE CONVERSION FORMULA

• Degrees Celsius to degrees Fahrenheit: °F = (°C x 1.8) + 32

EQUATION OF A CIRCLE CENTRE

• Equation of a circle centre (0,0)

x2 + y2 = radius2



47

Pi

• pi = 3.14

AVERAGE DAILY RAINFALL (IN A GIVEN MONTH)

x̅ = total rainfall for the month

number of days in that month



48


THEOREM OF PYTHAGORAS

• In any right-angled triangle: c2 = a2 + b2

• In any triangle: c² = a² + b² – 2absinC

TRIGONOMETRY

In any right-angled triangle:

sin θ = 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒


cos θ = 𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡


tan θ = 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒

𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡

Sine Rule: where a, b, and c are the lengths of the sides opposite angles at A, B and C,

respectively.

b

B

Opposite side

a

A

Adjacent side

c

C

Hypotenuse

a

θ

b c



49

𝑎

𝑠𝑖𝑛𝐴 =

𝑏

𝑠𝑖𝑛𝐵=

𝑐

𝑠𝑖𝑛𝐶



50


SIMPLE INTEREST FORMULA

• I = PRT

Where:

P = principal

R = interest rate per year

T = number of years

GROWTH AND DECAY FORMULAE

• Simple growth or decay: A = P (1± ni)

• Compound growth or decay: A = P (1± i)n

Where:

A = amount at the end of n years

P = principal

n = number of years

i = interest rate per year, r % =r

100

LINEAR RELATIONSHIPS

• Distance between 2 points 𝑑 = √(𝑦2 − 𝑦1)2+(𝑥2 − 𝑥1)2

• Coordinates of midpoint (𝑥1 + 𝑥2

2,

𝑦1 + 𝑦2

2)

• Gradient of a line = 𝑟𝑖𝑠𝑒

𝑟𝑢𝑛=

𝑦2− 𝑦1

𝑥2− 𝑥1

FACTOR THEOREM

• The factor theorem states that a polynomial f (x) has a factor (x − k) if and only if f (k) =

0.

REMAINDER THEOREM

• The remainder when P(x) is divided by (x-a) is equal to P(a).



51

WORKING WITH NUMBERS

Example 1 A TV cost $9,999 including GST of 10%. How much would the TV have cost

before the GST was added?

A. $9,090

B. $8,999

C. $9,000

D. $9,900

E. $9,009

Example 2 28 x 2-2 =

A. 2-16

B. 26

C. 12

D. 2-4

E. -4

RATIO & PROPORTION

Example 3 Of 1350 military personnel, the proportion of males to females is 7:2. What is

the number of females?

A. 270

B. 1050

C. 160

D. 300

E. 350

MONEY & FINANCIAL MATHEMATICS

Example 4 A sale advertised “Buy 2 shirts and get the 2nd shirt (of equal or lesser value) at

50% off.” Thomas bought 2 shirts originally priced at $90 and $120. How much

did he pay in total?

A. $220

B. $150

C. $105



52


D. $210

E. $165



53

1

0

Example 5 Andrew borrows $12,000 to buy a second hand car. The fixed simple interest rate

is 11% pa and the loan is to be repaid over 5 years. The total amount Andrew

will pay to the bank is

A. $13,320

B. $18,000

C. $18,600

D. $16,500

E. $12,000

REAL NUMBERS

Example 6 Simplify 3x0 (4y 3 ) 2

A. 48y 6

B. 24xy 6

C. 48y 5

D. 12xy 5

E. 24xy 5

Example 7 The Richter Scale measuring earthquake strength is related to the logarithmic scale.

An earthquake measuring ‘2’ on the Richter scale represents log10100. An

earthquake measuring ‘4’ on the Richter scale would be

A. Twice as strong

B. Four times as strong

C. 10 times as strong

D. 100 times as strong

E. 1000 times as strong

PATTERNS & ALGEBRA

Example 8 The factorised form of 4xy² + 2y is:

A. 2xy (y + 1)

B. 4xy (y + 1)

C. 2y (2xy + 1)

D. 2xy (2y + 1)



54


E. 2xy (y + 2)

Example 9 The expression (y + 3)2 can be expanded as:

A. y 2 + 6

B. y 2 + 3y + 6

C. y 2 + 9

D. y 2 + 6y + 6

E. y 2 + 6y + 9



55

LINEAR AND NON-LINEAR RELATIONSHIPS

Example 10 The circle shown with radius 1 unit has equation x 2 + y 2 = 1

This circle is dilated by a factor of 3. Its new equation would be:

A. x 2 + y 2 = 3

B. x 2 + y 2 = 9

C. x 2 + y 2 = 6

D. 3x 2 + 3y 2 = 1

E. x 2 + y 2 = √3

Example 11 The parabola with equation y = x 2 is reflected in the x axis. Its new equation is

A. y = 1 – x 2

B. y = x 2 – 1

C. y = -x 2

D. y = x 2 + 1

E. y = -x 2 – 1

Example 12 The shape of the curved seat of a swing is modelled by the equation

h = 2(x - 1)2 + 0.5 where h metres is the height of the swing above the ground

and x is the horizontal distance in metres from the left hand post of the frame.

What is the lowest height of the seat above the ground?

A. 0.5

3

2

1

0

0 1 2 3 -1 -2 -3

-2

-1

-3



56


B. 1.0

C. 1.5

D. 2.0

E. 2.5



57

USING UNITS OF MEASUREMENT

Example 13 The formula C = 5

9 (F – 32) converts degrees Fahrenheit (F) into degrees

Centigrade (C). If the temperature is 100o Fahrenheit, what would this be in

degrees Centigrade?

A. 68.0º

B. 23.6º

C. 212.0º

D. 43.4º

E. 37.8º

Example 14 A cylinder has a volume of 900 cm3. If the radius of the base is 5 cm what is the

length of the cylinder?

A. 36.00 cm

B. 11.46 cm

C 16.93 cm

D. 57.30 cm

E. 42.25 cm

GEOMETRIC REASONING

Example 15 When the object marked ORIGINAL has both its length and width doubled, the

enlargement is



58


A. Figure 1

B. Figure 2

C. Figure 3

D. Figure 4

E. Figure 5

Original Figure 2

Figure 4

Figure 1

Figure 3

Figure 5



59

PYTHAGORAS AND TRIGONOMETRY

Example 16 Soldiers at points A and B know that the distance from A to B is 21.6 km and

from B to the Base is 14.2 km. They have also taken bearings which show the

angle at B is 81.5º.

Due to a lake being in the way, they will have to rely on calculations for the

distance from A to the Base. This direct distance from A to the BASE is

A. 22.8 km

B. 26.3 km

C. 24.0 km

D. 31.1 km

E. 25.6 km

Example 17 Given sin 60º = √3

2 the exact value of sin300º is

A. 2

√3

B. − √3

2

C. 12

D. − 2

√3

E. 2

Example 18 A wooden ‘roof truss’ consists of a symmetrical triangle and a vertical support to

the apex as shown below. The angle of slope is 22º and the vertical height of the

truss is 1.5 metres. Ignoring joins, approximately how much wood is required?

A. 26.6 metres

Base

14.2 21.6

B

A



60


B. 16.9 metres

C. 8.9 metres

D. 15.4 metres

E. 18.6 metres



61

CHANCE

Example 19 There are 2.5 kg, 5 kg, 10 kg and 20 kg weights available at the gym. Amos

randomly chooses 2 weights to fit onto the rowing machine. What is the

probability that the total weight he puts on the machine is 20 kg or more?

Completing the lattice diagram may assist you.

First weight selected

Second

weight

selected

2.5 kg 5 kg 10 kg 20 kg

2.5 kg 2.5 + 2.5

5 kg

10 kg

20 kg

A. 1

2

B. 1

4

C. 5

16

D. 3

8

E. 1

8

DATA REPRESENTATION AND INTERPRETATION

Example 20 The composition of the atmosphere by volume is approximately Nitrogen 78%,

Oxygen 20.6% and other Gases 1.4%. Which of the pie charts shown below best

represents this?

A. B. C.

Oxygen

Other Other

Nitrogen Oxygen Oxygen

Other

Nitrogen Nitrogen



62


D. E.

Science


full range of items or test difficulty. For the Science test, you may use a silent, battery-

operated, non-programmable scientific calculator (not CAS/graphics calculator). For answers

to these sample questions, see Appendix D.

Read the following information about ‘relative velocity’ and answer example questions 1

and 2.

Velocity brings together the two notions of speed and direction. Velocities can be added and

subtracted. When a car is driving along the road, the direction in which the car is travelling

may be considered as positive. A positive velocity is then assigned to cars travelling in the

same direction and a negative velocity is assigned to cars travelling in the opposite direction.

Example 1 A car is driving at 90 km/h in a northerly direction and passes another car driving

at 60 km/h in a northerly direction. What is the first car’s velocity relative to the

second car?

A. 150 km/h

B. 90 km/h

C. 60 km/h

D. 30 km/h

Other Other Oxygen

Nitrogen Nitrogen

Oxygen



63

Example 2 A car is driving east at 100 km/h and passes another car driving west at 80 km/h.

What is the first car’s velocity relative to the second car?

A. 180 km/h

B. 100 km/h

C. 80 km/h

D. 20 km/h



64


Read the following information about ‘sky diving’ and answer example questions 3 and 4.

When a person jumps from a plane to sky dive, they experience the effects of air resistance

pushing against their body. Air resistance occurs because air molecules collide with the

person’s body. The following measurements were taken during the first 20 seconds of a sky

dive. The parachute was not opened in the first 20 seconds of the dive – the person was falling

freely.

Sky Diving Results: first 20 seconds of jump

Time elapsed (s) Distance fallen (m) Velocity (m/s) Acceleration (m/s²) Air resistance (N)

0 0 0 9.8 0

1 6 12 9.1 205

5 37 34 5.9 320

10 54 52 1.7 685

15 62 59 0.35 755

20 64 61 0 776

The units used in the table are:

s = seconds

m = metres

N = Newton (a measure of force).

Example 3 When five seconds had elapsed, what distance had the sky diver fallen?

A. 5.9 metres

B. 34 metres

C. 37 metres

D. 54 metres

Example 4 Which one of these statements is supported by the data?

Over the initial 15 second period since jumping, as air resistance increases…

A. both acceleration and velocity increase.

B. both acceleration and velocity decrease.

C. there is no change to acceleration or velocity.



65

D. acceleration decreases while velocity increases.



66


Read the following information about ‘atoms’ and answer example questions 5 to 7.

The atomic model of matter states that the basic building blocks of all materials are atoms.

Atoms are made up of three components: electrons, protons and neutrons. The protons and

neutrons are contained in the centre of the atom and together they form the ‘nucleus’ of the

atom. The electrons circle outside the nucleus in a series of set orbits called ‘shells’. These

shells are filled from the innermost outwards and each shell must be completely filled before

electrons can start filling the next one. The first shell may contain no more than two electrons,

and the second no more than eight. Protons have an electrical charge of +1 and electrons

have an electrical charge of -1. Neutrons have no electrical charge. Therefore an atom in its

neutral state will have an equal number of electrons and protons.

Using this model, scientists have defined a set of approximately 110 different types of atoms

called ‘elements’. In different combinations these elements make up all the materials that we

find in the world, from wood to metal to the air we breathe.

The following table lists some of the properties of the first 10 elements.

Element Symbol Total number of electrons in neutral state

Hydrogen H 1

Helium He 2

Lithium Li 3

Beryllium Be 4

Boron B 5

electron

second electron shell

maximum of 8 electrons

first electron shell

maximum of 2 electrons

neutron

proton neucleus



67

Element Symbol Total number of electrons in neutral state

Carbon C 6

Nitrogen N 7

Oxygen O 8

Fluorine F 9

Neon Ne 10



68


Example 5 For an atom to be electrically ‘neutral’, i.e. neither positive nor negative in total

charge, it will have…

A. an equal number of protons and neutrons.

B. an equal number of protons and electrons.

C. an equal number of neutrons and electrons.

D. an equal number of protons, neutrons and electrons.

Example 6 How many electrons will a fluorine atom have in its outer shell?

A. 2

B. 7

C. 8

D. 9

Example 7 The atomic number of an atom is the number of protons it has. Using the

information and the table above, what is the atomic number of oxygen?

A. 16

B. 10

C. 8

D. 6

Read the following information about ‘resistance’ and answer example questions 8 to 10.

An important formula in electrical theory is Ohm’s law. This is written as: V = I.R

Where:

V = voltage (in volts)

I = current (in amperes)

R = resistance (in ohms)

NB: This equation can be rewritten as I = 𝑉

𝑅 or R =

𝑉

𝐼

Example 8 Consider the series circuit shown below and answer the following question:



69

If the battery voltage is 6 volts and the resistance of the globe is 100 ohms, what

is the current flowing in this circuit?

A. 6.0 amperes

B. 600 amperes

C. 0.06 amperes

D. 16.67 amperes



70


Example 9 Consider the series circuit shown below and answer the following question:

A voltage drop is the voltage across a component in a circuit. In a series circuit,

the sum of the voltage drops across all the components in the circuit will equal

the supply (e.g. battery) voltage.

In the above circuit assume that the globes are the only resistances. If the battery

voltage is 9v and Voltmeter 1 shows 6v, what will Voltmeter 2 show?

A. 3 volts

B. 6 volts

C. 9 volts

D. 12 volts

Example 10 In a parallel circuit, the total current is the sum of the currents through the

individual loops. Consider the parallel circuit shown below and answer the

following question.

If the current flowing at the point shown is 1 ampere, what is the current flowing

through Globe 1?

A. 2 ampere



71

B. 1 ampere

C. 0.5 ampere

D. 0.25 ampere



72


Appendix D Year 10 Answers to Sample Questions

Subject Question Answer Question Answer

English Question 1 D Question 9 C

Question 2 B Question 10 C

Question 3 A Question 11 A

Question 4 D Question 12 D


Question 6 C Question 14 A

Question 7 B Question 15 D

Question 8 A

General

Mathematics

Question 1 D Question 6 B


Question 3 E Question 8 C

Question 4 A Question 9 B

Question 5 C Question 10 A

Advanced

Mathematics

Question 1 A Question 11 C

Question 2 B Question 12 A

Question 3 D Question 13 E

Question 4 E Question 14 B

Question 5 C Question 15 D




73


Question 7 D Question 17 B

Question 8 C Question 18 B

Question 9 E Question 19 A

Question 10 B Question 20 E



74



Science Question 1 D Question 6 B


Question 3 C Question 8 C

Question 4 D Question 9 A


Notes

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75

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