12. Required the square root of 5-4√3, and of 9-4-8.

13. Required the discount upon £100, due three months hence, at 4 per cent. per annum.

14. Find the present worth of an annuity (A) to continue for (n) years at simple interest.

15. What is the present worth of an annuity of £60, to commence in two years, and to continue for ever at 3 per cent. per annum.

16. Given the log. of 8.1213=9096256. It is required to state the log. of 812.13; and of 81213; and of '081213.

17. Resolve

17 into a continued fraction. 18. Required a number, such, that divided by 5, 4, 3, respectively, it may leave remainders 2, 3, 4, respectively.

19. The difference between any number, and that number inverted, is divisible by the local value minus one,

On the fourth morning was given the annexed papers in Metaphysics and Moral Philosophy.

TRINITY COLLEGE.

LOCKE.

1. WHERE does Locke break through his original design in the essay on the Human Understanding? Assign the reason of his doing so.

2. How does Locke prove the existence of Ideas? Give his arguments against innate ideas. 3. Experience is two-fold :-explain its two

sources.

4. Give the principal differences between Hardness and Solidity.-Is a hard body more solid than a soft one?

5. For what reasons are Pleasure and Pain connected with all our ideas?

6. How do we obtain the idea of Power? Is the idea of power simple or complex? How many fold is Power? What are the two Powers of the Mind?

7. Define Liberty; explain how far Liberty and Volition may have place independently of each other.

8. Explain Primary and Secondary Qualities, and give instances of cach.

9. Why are the ideas in Secondary Qualities not resemblances ?

10. Prove the idea of Heat not in the Fire.

11. How do we acquire the idea of Duration? and how do we obtain any measure of it? Show that our idea of Duration is independent of Motion.

12. How does Locke prove, from the opinions of Philosophers, that abstract ideas are Essences? 13. What are mixt Modes? and how do we acquire the idea of them?

14. Explain Identity, and Diversity.

15. In what does the identity of Vegetables consist? in what personal identity?

16. Define Virtue and Vice-what are the common measures of them?

17. What is Abstraction ?-Show the difference between it and Generalization.

18. Give Locke's definition of Judgment; can it exist independently of words?

TRINITY COLLEGE.

QUESTIONS IN MORAL PHILOSOPHY.

1. DEFINE Moral Philosophy; and show in what the necessity of this science consists.

2. What is meant by the Moral Sense? What are the arguments for and against its existence? and what is your own opinion upon the subject?

3. How does Dr. Paley define Virtue? In what ways has it been defined or distinguished by other moralists?

4. Show in what sense a moral obligation is said to depend upon its utility: and defend the position?

5. Explain and illustrate Dr. Paley's Division of Rights.

6. In what sense are promises to be interpreted? Explain the nature of tacit promises.

7. In what cases is a promise binding which has been given under an erroneous supposition? and in what is it not binding?

8. What is the foundation, and what the general benefit of the Right of Property? Show

the fundamental errors of those who contend for

the equality of property.

9. What are the different descriptions of falsehood? and what is the degree of guilt in each ?

10. What is required by a Subscription to Articles of Religion?

11. What are our duties towards our inferiors and dependents? Show the futility of the pretences by which some people excuse themselves from giving to the poor.

12. What is Revenge? Show that it is prohibited both by Reason and by Scripture.

13. Explain the guilt, the inefficacy, and the absurdity of Duelling.

14. What are the different duties of Children to their Parents?-And upon what does their obligation rest?

15. In what does the criminality of Drunkenness consist? In what degree does it apply to persons guilty of casual excesses only?

16. Show distinctly the duty and the efficacy of public and private prayer. What are the particular advantages of a Liturgy?

17. Explain the obligation upon Christians to comply with the religious observance of Sunday. 18. Upon what is the duty of submission to