African University of Science and Technology (AUST) Direct Entry Past Questions and Answers

English Language

1. Choose the correct spelling:

A. Recommed

B. Recomand

C. Recommend

D. Recomend

Answer: C. Recommend

2. Choose the option that best completes the sentence:

The teacher asked the students if they ___ any questions.

A. had

B. having

C. have

D. has

Answer: A. had

3. Choose the word that is most nearly opposite in meaning to the underlined word:

He is known for his loquacity.

A. Talkativeness

B. Shyness

C. Silence

D. Reticence

Answer: D. Reticence

4. Choose the correct passive form:

They are building a new hospital.

A. A new hospital is being built.

B. A new hospital has been built.

C. A new hospital was being built.

D. A new hospital was built.

Answer: A. A new hospital is being built.

5. Choose the word with the correct stress pattern:

A. advise´

B. ´advice

C. ad´vice

D. ´advise

Answer: B. ´advice

Mathematics

6. Simplify: (3x² - 2x - 5) ÷ (x - 2)

A. 3x - 4, remainder 3

B. 3x + 4, remainder 3

C. 3x + 4, remainder -3

D. 3x - 4, remainder -3

Answer: D. 3x - 4, remainder -3

7. Find the 10th term of the AP: 3, 7, 11, …

A. 39

B. 41

C. 43

D. 45

Answer based on “Arithmetic Progression” computation: A. 39

8. What is the value of x If log⁡₂(x) = 5?

A. 64

B. 16

C. 32

D. 25

Answer: C. 32

9. Simplify: ²/_x + ³/_{x + 1}

A. ^{2x + 3(x+1)}/_x(x+1)

B. ^{2x + 3x + 3}/_x+1

C. ^{2(x+1) + 3x}/_x(x+1)

D. ^{5x + 3}/_x(x+1)

Answer based on “Algebraic Fractions:” computation: A. ^{2x + 3(x+1)}/_x(x+1)

10. If sin⁡θ = ³/₅, and θ is acute, find cos⁡ θ.

A. ^√2/₅

B. ⁴/₅

C. ⁵/₄

D. ²/₅

Answer based on “Trigonometry” computation: B. ⁴/₅

AUST Direct Entry Past Questions for Arts Students

Economics

11. Which of the following is a feature of a capitalist economy?

A. Private ownership of resources

B. Government ownership

C. Central planning

D. Price control

Answer: A. Private ownership of resources

12. A demand curve normally slopes:

A. Upwards from left to right

B. Vertically

C. Horizontally

D. Downwards from left to right

Answer: D. Downwards from left to right

13. Which of the following best describes the law of diminishing returns?

A. Additional output decreases with more input

B. Output increases proportionally with input

C. Profit always increases with production

D. Cost increases with size

Answer: A. Additional output decreases with more input

Literature in English

14. The term 'soliloquy' in drama refers to:

A. A speech made by a character alone on stage

B. A group dialogue

C. A background narrator’s comment

D. A conversation between two characters

Answer: A. A speech made by a character alone on stage

15. “She sells sea shells by the sea shore” is an example of:

A. Metaphor

B. Simile

C. Rhyme

D. Alliteration

Answer: D. Alliteration

16. In poetry, a fourteen-line poem is known as a:

A. Elegy

B. Sonnet

C. Ballad

D. Limerick

Answer: B. Sonnet

AUST Direct Entry Past Questions for Science Students

Physics

17. Which instrument is used to measure relative humidity?

A. Hygrometer

B. Hydrometer

C. Barometer

D. Thermometer

Answer: A. Hygrometer

18. Which law explains why a rocket moves in space?

A. Hooke’s Law

B. Newton’s Second Law

C. Newton’s First Law

D. Newton’s Third Law

Answer: D. Newton’s Third Law

19. Which of the following quantities is a vector?

A. Temperature

B. Displacement

C. Distance

D. Speed

Answer: B. Displacement

Biology

20. The exchange of gases in the lungs occurs in the:

A. Diaphragm

B. Trachea

C. Alveoli

D. Bronchi

Answer: C. Alveoli

21. The male reproductive organ in a flower is the:

A. Ovary

B. Carpel

C. Stigma

D. Stamen

Answer: D. Stamen

22. Which of the following organisms has the simplest body structure?

A. Amoeba

B. Housefly

C. Earthworm

D. Hydra

Answer: A. Amoeba

Agricultural Science

23. Poultry droppings are rich in:

A. Potassium

B. Nitrogen

C. Iron

D. Magnesium

Answer: B. Nitrogen

24. Pasture is mainly used for:

A. Mulching

B. Controlling erosion

C. Animal grazing

D. Decorating the farm

Answer: C. Animal grazing

25. Green manuring improves soil fertility by:

A. Increasing soil erosion

B. Adding organic matter

C. Raising the water table

D. Making the soil alkaline

Answer: B. Adding organic matter

Chemistry

26. The process by which a liquid changes to gas at the surface at any temperature is called:

A. Vaporization

B. Boiling

C. Sublimation

D. Evaporation

Answer: D. Evaporation

27. Which gas is used in the Haber process for ammonia production along with nitrogen?

A. Hydrogen

B. Carbon dioxide

C. Oxygen

D. Sulphur dioxide

Answer: A. Hydrogen

28. Which of the following is a strong acid?

A. H₂CO₃

B. NH₄OH

C. HCl

D. CH₃COOH

Answer: C. HCl

AUST Direct Entry Past Questions for Social Science Students

Geography

29. The earth’s shape is best described as:

A. A flat disc

B. A perfect sphere

C. An oblate spheroid

D. A rectangle

Answer: C. An oblate spheroid

30. Which instrument is used to measure wind speed?

A. Thermometer

B. Barometer

C. Anemometer

D. Hygrometer

Answer: C. Anemometer

31. Which of the following is a non-renewable natural resource?

A. Solar energy

B. Forest

C. Wind

D. Coal

Answer: D. Coal

Government

32. Pressure groups aim to:

A. Replace political parties

B. Influence government policies

C. Win elections

D. Form governments

Answer: B. Influence government policies

33. Franchise refers to the:

A. Power to make laws

B. Act of campaigning

C. Right to contest elections

D. Right to vote

Answer: D. Right to vote

34. The 1979 Constitution of Nigeria adopted the:

A. Presidential system

B. Confederal system

C. Westminster model

D. Parliamentary system

Answer: A. Presidential system