The following 1869 Harvard entrance exam was supposed to be a breeze, believe it or not (via GOOD).

In those days colleges had to go out of their way to attract students. Harvard pointed out in a newspaper ad that 185 of 210 candidates passed the entrance test and were accepted in the previous year.

But those candidates had the benefit of a focused prep school education.

You will find this exam, which ranges from geography to geometry to Latin, extremely difficult. Take a stab at the answers in the comment section.

**2. Reduce the following expression to its simplest form:**

(9a^{2}b^{2}- 4b^{4}) (a^{2}- b^{2}) - (3ab - 2b^{2}) (3a [a^{2 }+ b^{2}] - 2b [b^{2} + 3ab - a^{2}])b

The watch and locket together coast three times as much as the chain, and the chain and locket together cost half as much as the watch. What was the price of each?

**5. Find the amount of £50 12s. 5d. at simple interest at 8%, at the end of 5 years, 2 months, and 3 days.**

Give all the Infinitives and participles of *abeo, ulciscor*; the Present Indicative of *fio*; the Future indicative Active and the Present Subjunctive Passive of *munio*, with the quantity of all penults.

**10. Compare Athens with Sparta.**

**11. Pericles: — the Man and his Policy.**

**13. What is the logarithm of 1 in any system?**

Of any number in a system of which that number is the *base*? In a system of which the base is 4, what is the logarithm of 64? of 2? of 8? of 1/2?

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