AFOQT Prep

Lesson 2Verbal AnalogiesMath Knowledge

Verbal Analogies

Ex:BEAVIS is to BUTTHEAD as:A. Lt Bartlett is to Lt SlechtaB. Apple is to OrangeC. Building is to SkyscraperD. High is to Low

25 Questions, 8 MinutesTime Management: 3 Questions Per Minute

Strategies To Remember

• REPHRASING THE QUESTION

• RECOGNIZING 5 TYPES OF ANALOGIES

• PART OF SPEECH: VERB, NOUN, ADJECTIVE, ETC

• TENSE: PAST, PRESENT, FUTURE

5 Types of Verbal Analogies

• SYNONYM/DEFINITION• ANTONYM• FUNCTION/RELATIONSHIP• TYPE• PART-TO-WHOLE

5 Types of Analogies

• SYNONYM: same meaning or definition

Ex: ALTRUISTIC is to UNSELFISH as SAFETY is to:A. HEIGHTB. OBJECTIVEC. QUAINTD. SECURITYE. BELT

Ex: SANCTUARY is to REFUGEE:F. CAVE is to BEARG. VAULT is to VALUABLESH. TRIUMPH is to CONTESTI. CARNIVORE is to OMNIVORE

5 Types of Analogies

• ANTONYM: opposites

Ex: HAPPY is to SAD as RIGID is to:A. STIFFB. FLEXIBLEC. CONSERVATIVED. TIGHTE. FAULTY

Ex. PRIDE is to HUMBLE: F. SERVILE is to SERVANTG. HUMOR is to SOMBERH. WOOD is to TREEI. CAMPING is to RECREATIONJ. SHOVEL is to DIG

5 Types of Analogies

• FUNCTION/RELATIONSHIP

Ex: HAMMER is to NAIL as:A. PEN is to INKB. KNIFE is to SHARPC. CAR is to WHEELD. SCISSORS is to PAPERE. GLUE is to TUBE

Ex. BAROMETER is to PRESSURE as CALIPERS is to:F. CUTTINGG. HEIGHTH. CONSTANCYI. THICKNESSJ. PLIERS

5 Types of Analogies

• TYPE: #1 is a type of #2

Ex: ARGON is to GAS as:A. BOOK is to LIBRARYB. MAPLE is to TREEC. HEART is to PACEMAKERD. PAUPER is to MONEYE. COMPUTER is to KEYBOARD

Ex. TOOL is to DRILL as POEM is to:F. SONGG. MACHINEH. SONNETI. BIRDJ. NOVEL

5 Types of Analogies

• PART-TO-WHOLE

Ex: SINGER is to CHOIR as:A. JUICE is to COLAB. SENATOR is to REPRESENTATIVEC. PILOT is to JETD. FOREARM is to SKELETONE. BUTTON is to NOZZLE

Alternately presented as: Whole-to-Part

Ex: DOLLAR is to QUARTER as:F. MEDICINE is to HARMG. MILK is to BREAKFASTH. HANDS is to CLOCKI. MONTH is to WEEKJ. CRANE is to LIFT

PREPARE TO TEST

Time Management: 3 Questions Per Minute

1. FORK is to EAT as PEN is to:A. INKB. PENCILC. WRITED. LETTERE. BOOK

2. BOOK is to CHAPTER as BUILDING is to A. ELEVATORB. LOBBYC. ROOFD. STORYE. WING

3. ACTOR is to STAGE as:A. PATIENT is to DOCTORB. OUTSIDE is to BENCHC. GARAGE is to CARD. TEACHER is to CLASSROOME. METER is to ELECTRICITY

4. TYRANT is to CRUELTYA. DRAWL is to SPEAKERB. COMPILE is to DISSEMBLEC. ACCOLADE is to AWARDD. SYCOPHANT is to FLATTERYE. WAX is to CANDLE

5. SLOTH is to LAZINESSA. GENTEEL is to VULGARB. INSOMNIAC is to SLEEPLESSNESSC. HACKNEYED is to UNIQUED. ACCEDE is to RESPECTE. CRYPT is to TOMB

6. HALLOWED is to SACREDA. SOLDIER is to ARMYB. GAMUT is to PROVINCIALC. LIBEL is to PRAISED. NOMADIC is to WANDERINGE. OBLIVIOUS is to KEEN

7. DANCER is to ENSEMBLEA. YOGURT is to MILKB. STUDENT is to CLASSC. MOUNTAIN is to PRECIPICED. FLOCK is to SHEEPE. DOODLE is to NOTEBOOK

8. ANARCHIST is to DISORDERA. YAWN is to BOREDOMB. MONTH is to YEARC. GOOD is to BESTD. PACIFIST is to PEACEE. CONSTELLATION is to STARS

9. DOCTOR is to HEALINGA. PRISON is to GUARDB. DINOSAURS is to PALEONTOLOGISTC. AUTHOR is to WRITINGD. CLAP is to HANDSE. PLANETS is to UNIVERSE

10. POLICE is to LAWA. LION is to DENB. BRUSH is to HAIRC. CONDUCTOR is to ORCHESTRAD. BOOK is to LIBRARYE. CLERGY is to RELIGION

11. COOL is to FRIGIDA. SPEAKER is to ASSEMBLYB. BUG is to COLDC. WATER is to BUCKETD. DISLIKE is to DETESTE. STUNT is to GROWTH

12. BREEZE is to GALEA. EYES is to FACEB. MALEVOLENT is to CHARITABLEC. HOSTILE is to ENEMYD. SNOWFLAKE is to BLIZZARDE. PUNGENT is to SMELL

13. CRUMB is to LOAFA. PAINTER is to CANVASB. PUDDLE is to OCEANC. SOUND is to MICROPHONED. PRIDE is to FALLE. FEATHER is to QUILL

14. CROISSANT is to PASTRYA. SCHOOL is to FISHB. TREE is to PEACHC. HAIKU is to POEMD. KNIFE is to CUTE. VENISON is to DEER

15. ROMANCE is to NOVELA. BOON is to BLESSINGB. RAP is to MUSICC. CREDO is to IMMORALD. FRICTION is to SANDPAPERE. DETERMINED is to HESITANT

16. TANKER is to SHIPA. INSECT is to ANTB. MATRIARCH is to MOTHERC. MINIVAN is to AUTOMOBILED. COW is to VEALE. DEGREE is to COLLEGE

17. WHALE is to OCEANA. CONGREGATION is to CROWDB. POUND is to DOGCATCHERC. CHURCH is to STEEPLED. COURT is to TENNISE. BEE is to HIVE

18. PRISTINE is to UNSPOILEDA. TAINTED is to CONTAMINATEDB. EASE is to TAXINGC. ARID is to DELUGEDD. CHAMPIONED is to ABASEDE. ANIMUS is to KINDNESS

19. BIRTH is to LIFEA. RODENT is to SKUNKB. GENTRY is to NOBILITYC. PROLIFERATE is to CEASED. WINCE is to JOYE. EXPOSURE is to INFECTION

20. MEDITATION is to RELAXATION A. ORDER is to CHAOSB. SYMPTOMS is to BACTERIAC. HONE is to WHETD. SATIATION is to SATISFACTIONE. DEXTERITY is to ACCOMPLISHMENT

21. ISOLATION is to LONELINESSA. SHORTEN is to NIPB. QUIET is to TACITC. PROMOTION is to ADVANCEMENTD. MONOTONY is to HOMOGENOUSE. RUSTIC is to CITY

22. BATHING is to CLEANLINESS A. MEDICINE is to HARMB. IMPRISONMENT is to PUNISHMENTC. BANJO is to COUNTRYD. BALLOON is to HELIUME. SADNESS is to BLUES

23. SMILING is to HAPPINESSA. EXERCISE is to RUNNINGB. MOTORCYCLE is to TRAVELC. MILK is to BREAKFASTD. SCOWLING is to DISPLEASUREE. SHOUTING is to POWER

24. HANDS is to CLOCKA. PIANO is to MUSICB. JUSTICE is to COURTC. LEGS is to BODYD. ANNOYED is to FURIOUSE. CARNIVORE is to TIGER

25. TENSION is to STRESS as VIRUS is toA. LIVINGB. DISEASEC. BACTERIAD. IMMUNITYE. MORBIDITY

1. C 2. D 3. D 4. D 5. B 6. D 7. B 8. D 9. C 10. E 11. D

12. D 13. B 14. C 15.B 16. C 17. E 18. A 19. E 20. D 21. C 22. B

23. D 24. C 25. B

ANSWERS

Math Knowledge

25 Questions

22 minutes

Just over 1 minute per question

Focus on organizing your thoughts quickly and efficiently while solving

Practice organization on your scratch paper to prevent rework

Math Vocab Review

TangentParallelPerpendicularIntegerRational/Irrational NumberMixed NumberFractionReciprocal

Math Concepts Review

Trinomials– Multiplying and Factoring– Remember FOIL?

Standard mx+b equation for a lineDivision with decimalsMixed numbers and fractions with decimals

PREPARE TO TEST

1. 17/20 + 6/100 + 15/50 is equal toA. 43/50B. 111/100C. 121/100D. 83/50E. 289/25

2. 5v-u=-2 and –v+9u=18, then the simultaneous solution of the given equation is:

A. u=3, v=9B. u=2, v=0C. u=1, v=-9D. u=-2, v=-36E. u=3, v=-15

3. Which of the following statements is false? A triangle can have

A. three equal anglesB. one obtuse angleC. three equal sidesD. two right anglesE. three acute angles

4. The value in -1/9√(81) is equal to A. 0B. -1C. 1D. -9E. 9

5. The factors of 30x2-30 areA. (5x-6), (6x+5)B. (15x+5), (2x-6)C. (5x-6), 6x-5)D. (30x-5), (x+6)E. (5x+5), (6x-6)

6. Solve 5/6+3/4+(3/2*9/21)A. 66/52B. 187/84C. 120/57D. 66/145E. 123/124

7. Solve for x using the following two equations:2x+4y=10 and 9x-4y=20

A. x=21/15B. x=40/21C. x=30/11D. x=8/9E. x=29/13

8. The hypotenuse of a right triangle whose legs are 3 feet and 4 feet is

A. 4B. 5C. 6D. 7E. 8

9. If w=4c then (3/4)w=A. 3/3cB. 4/3cC. 3cD. c/3E. c/4

10. Factor x2+7x+10A. (2x+2)(x+5)B. (x+5)(x+2)C. (x+2)(2x+2)D. (2x+5)(x+5)E. (2x+)(x+10)

11. 12.687x10-4 is equal toA. 1.2687B. .12687C. .012687D. .0012687E. .00012687

12. What is the probability of randomly drawing an odd number between 24 and 33 (inclusive)?

A. 50%B. 66%C. 75%D. 80%E. 90%

13. 2/3*3/4*4/5*5/6*6/7*7/8=A. 1/16B. 1/8C. ¼D. ½E. None of the above

14. 105*106*107=A. 1015

B. 1018

C. 1021

D. 1024

E. 1030

15. 10y/10z equalsA. 10y/z

B. 10yz

C. 10y+z

D. 10y-z

E. None of the above16. Solve for x when: (2x)/7=2x2

A. 1/7B. 2/7C. 2D. 7E. 14

17. (-3)3 = A. 9B. -9C. 27D. -27E. None of the above

18. x-2 can be reduced to:

A. 1/(x-4)B. 1/(x-2)C. (x-2)/(x+2)D. 1/(x+2)E. 1/(x+4)

x2-6x+8

19. What are the next two choices following the below pattern?

A R C S E T G ___ ___ A. UHB. HIC. UID. IUE. IH

20. What is the next logical choice following the below pattern?

2 4 12 48 ____A. 96B. 144C. 192D. 204E. 240

21. The sum of all exterior angles of a triangle is always

A. 540 degreesB. 720 degreesC. 900 degreesD. 1080 degreesE. 1260 degrees

22. √(28) - √(7) reduces toA. √(4)B. √(7)C. 3√(7)D. √(21)E. -√(35)

23. The volume of a cylinder with radius b and height w is

A. πbwB. 2πbwC. 2πb2wD. 4πb2wE. None of the above

24.The sum of the interior angles of a pentagon isA. 360 degreesB. 540 degreesC. 720 degreesD. 900 degreesE. 1180 degrees

25. If 2n=8, what is the value of 3n+1?A. 70B. 81C. 95D. 102E. None of the above

Answers

1. c2. b3. d4. b5. e6. b7. c8. b9. c

10. b11. d12. a13. c14. b15. d16. a17. d18. a

19. c20. e21. c22. b23. e24. b25. b

Review

1. 17/20 + 6/100 + 15/50 is equal toA. 43/50B. 111/100C. 121/100D. 83/50E. 289/25

2. 5v-u=-2 and –v+9u=18, then the simultaneous solution of the given equation is:

A. u=3, v=9B. u=2, v=0C. u=1, v=-9D. u=-2, v=-36E. u=3, v=-15

3. Which of the following statements is false? A triangle can have

A. three equal anglesB. one obtuse angleC. three equal sidesD. two right anglesE. three acute angles

4. The value in -1/9√(81) is equal to A. 0B. -1C. 1D. -9E. 9

5. The factors of 30x2-30 areA. (5x-6), (6x+5)B. (15x+5), (2x-6)C. (5x-6), 6x-5)D. (30x-5), (x+6)E. (5x+5), (6x-6)

6. Solve 5/6+3/4+(3/2*9/21)A. 66/52B. 187/84C. 120/57D. 66/145E. 123/124

7. Solve for x using the following two equations:2x+4y=10 and 9x-4y=20

A. x=21/15B. x=40/21C. x=30/11D. x=8/9E. x=29/13

8. The hypotenuse of a right triangle whose legs are 3 feet and 4 feet is

A. 4B. 5C. 6D. 7E. 8

9. If w=4c then (3/4)w=A. 3/3cB. 4/3cC. 3cD. c/3E. c/4

10. Factor x2+7x+10A. (2x+2)(x+5)B. (x+5)(x+2)C. (x+2)(2x+2)D. (2x+5)(x+5)E. (2x+)(x+10)

11. 12.687x10-4 is equal toA. 1.2687B. .12687C. .012687D. .0012687E. .00012687

12. What is the probability of randomly drawing an odd number between 24 and 33 (inclusive)?

A. 50%B. 66%C. 75%D. 80%E. 90%

13. 2/3*3/4*4/5*5/6*6/7*7/8=A. 1/16B. 1/8C. ¼D. ½E. None of the above

14. 105*106*107=A. 1015

B. 1018

C. 1021

D. 1024

E. 1030

15. 10y/10z equalsA. 10y/z

B. 10yz

C. 10y+z

D. 10y-z

E. None of the above16. Solve for x when: (2x)/7=2x2

A. 1/7B. 2/7C. 2D. 7E. 14

17. (-3)3 = A. 9B. -9C. 27D. -27E. None of the above

18. x-2 can be reduced to:

A. 1/(x-4)B. 1/(x-2)C. (x-2)/(x+2)D. 1/(x+2)E. 1/(x+4)

x2-6x+8

19. What are the next two choices following the below pattern?

A R C S E T G ___ ___ A. UHB. HIC. UID. IUE. IH

20. What is the next logical choice following the below pattern?

A. 96B. 144C. 192D. 204E. 240

21. The sum of all exterior angles of a triangle is always

A. 540 degreesB. 720 degreesC. 900 degreesD. 1080 degreesE. 1260 degrees

22. √(28) - √(7) reduces toA. √(4)B. √(7)C. 3√(7)D. √(21)E. -√(35)

23. The volume of a cylinder with radius b and height w is

A. πbwB. 2πbwC. 2πb2wD. 4πb2wE. None of the above

24.The sum of the interior angles of a pentagon isA. 360 degreesB. 540 degreesC. 720 degreesD. 900 degreesE. 1180 degrees

25. If 2n=8, what is the value of 3n+1?A. 70B. 81C. 95D. 102E. None of the above

Conclusion

Do homework!

Reinforce these concepts tonight or you will not retain them

Next lesson – Instruments and Table Reading