The following are examples from a high school test.
Could you pass the written examination that occurred on January 2, 1856, at the Classical and English High School?

Sallust and Virgil
-Compare magnus; give the simple roots, and show how the comparative and superlative are formed.
-Compare superus; explain the form of the superlative.
-Give the four participles of relinquo, deleo, mitto, redeo, and fero.
-What English words are derived from capio? From trado? What from the third root of vivo?
-Translate into Latin the following sentences.
These priestesses of Vesta are not permitted to marry a husband.
It is not every one who can heal the diseases of the mind.
It does not escape me how odious a thing impiety is to the good.
May a christian thirst for honors?
I pity the old man now almost given over.
-What were the Sibylline Books?
-What is the caesura of the foot? Of the rhythm? Of the verse?
Latin
-Compare magnus, parvus, malus, bonus, similus.
-Write the termination of bonus in both numbers, and in all genders.
-What nine adjectives have ius in the genitive, and i in the dative?
-Into what three classes are the numeral adjectives divided? Cardinal numbers answer what question?
-What English words are derived from the third root of video?
-Inflect the verb fero in the indicative mode, present tense, of both voices.

Algebra
-Reduce a^3 ­ ay^2 to its lowest terms.
a^2 + 2ay + y^2

-Reduce a, c, and a + 5 to a common denominator.
x^2 3y y^2

-From 3a + b , subtract 2a- cy.
x

-Multiply together a+ a x and x ­ a x .
a-x a+x

-Divide a x + b by b x ­ a .
a b
-Express in words the Equation x + 24 = 3 x .
4 2

-Find a number that if it be divided by 12, twice the sum of its divisor, dividend and quotient, will be 128.

Geometry
-When four magnitudes are in proportion, show that equimulitples of the antecedents and equimulitples of the consequents will be proportional.
-Give the enuciation and demonstration of the proposition concerning the area of a trapezoid.
-Give the proposition in regard to the segments of the two chords which intersect a circle.
-If two sides of a right triangle are 12 and 5, what is the hypotenuse?
-What regular polygon has its side equal to the radius of the circumscribed circle?
-Prove that parallel lines included between parallel planes are equal.
-If the altitude of a pyramid is 24; and its base a triangle whose altitude and base are 4 and 6, what is the solidity of the pyramid?

Natural Philosophy
-Name the parts of a common pump.
-What is a Torricellian vacuum?
-What is the weight of a cubic foot of water? If a cubic foot of metal weighs 5500 ounces, what is its specific gravity?
-What is a pendulum? Define the center of oscillation.
-What is the use of the speaking trumpet? Of the hearing trumpet? Of the stethoscope?

Physiology
-What is hygiene?
-Of what are the human bones composed?
-What is the use of a muscle? Of a tendon?
-Describe the heart.
-Name the different parts of the eye.

***There are also some questions in regards to the French curriculum, most of the questions focusing on conjugation and translating.