MATH ENTRANCE EXAM IN HARVARD IN 1869:
1) One metre=39.37 inches. Compute from this datum the value of 4 miles in kilometers
2) 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 bas is 4, what is the logarithm of 64? of 2? of 8? of 1/2?
3) Show how the area of a polygon circumscribed about a circle may be found; then how the area of a circle may be found; then prove that circles are to each other as the squares of their radii.
4) A man bought a watch, a chain, and a locket for $216.
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) Prove that the perpendicular from the centre of a circle upon a chord bisects the chord and they are subtended by the chord.
LANGUAGE ENTRANCE EXAM AT HARVARD 1869:
1) Translate into Latin:
Who more illustrious in Greece than Themistocles? who when he had been driven into exile did not do harm to his thankless country, but did the same that Coriolanus had done twenty years before.
2) Greek grammar: Give an example of Elision. In what words does the accent of the elided vowel disappear with the vowel?
HISTORY EXAM:
Describe Pericles: — the Man and his Policy.
Watch $144
Chain $54
Locket $18
1) 157,480
2) 3, -1, 2, -4
did # 1 wrong
Should be 6.44 Kilometres
Old brain cells
need kick starting