1. Explain the terms steppe, savannah, prairie.

2. Give the highest known mountain in each of the continents of Europe, Asia, Africa, and America.

3. Where are the following places, and what do you know about each :-Gibraltar, Malta, Jersey, Elba, Rouen, Marseilles, Mount Cenis, Dresden, Odessa, Barcelona, and Rotterdam?

4. Mention (i.) the chief coal-districts of Great Britain; (ii.) the chief towns of each district; (iii) the chief means of communication between each district and the rest of the kingdom.

5. Arrange the following rivers in order of their length, and state the country or countries through which each runs, and the river, lake, or sea into which each flows:-Amazon, Colorado, Jordan, Nile, Pruth, Thames.

6. Draw a map of France; or describe in words its boundaries, mountains, and rivers.

7. What are the principal exports of India, Russia in Europe, Spain, and Turkey in Asia ?

1. Divide two million four hundred and ninety thousand two hundred and one by four thousand and eighty-nine.

2. A lady bought equal quantities of sugar at 31d. per lb., tea at 3s. 9d. per lb., butter at 1s. 11 d. per lb., coffee at 1s. 4d. per lb. The whole cost was £1 16s. 8d. How much of each did she buy?

3. Reduce 3 fur. 25 po. 2 yds. 1 ft. to inches. Write the answer in words.

5. If a carrier pigeon flies 17 miles in 15 minutes, how long will it take to fly 14 miles ?

6. Find the value of 0375 of £3 10s.
s. ;

reduce '0328 to a vulgar fraction.

and

7. Find by Practice the cost of 5 tons 17 cwt. 3 qrs. 14 lbs. of sugar at £1 3s. 4d.

per cwt.

8. If I walk for 6 hours a day at the rate of 3 miles an hour, how far shall I go in 7 weeks, counting 6 days to the week?

9. If 3 men do a piece of work in 60 days, how many will do it in 20 days?

1. What is meant by a coefficient, a power, a root?

2. Remove the brackets from the expression

{(a — b)c — (c + d)a + 2a(d − b + c) —

·

2b(c-a-d)},

and find its value when a = 5, b = 1, c= 3,

2

3. Multiply a1 — 3a2 + 2 + +

a1

by

by a

a2

and divide + 2x3y + xy3 + 2y1 — 3x3z — 3y3z

{ (x + y)2 — xy } { (x − y)2 + xy}.

6. Simplify

(i.) 17(x-2)+4(2x-3) — 3(11x + 1)

+ 73 = 0.

(ii.) x (x − 7) + f (x + 3) = 14.

8. A. has 2s. 6d. more than B., and C. has half as much again as A.; altogether they have 9s. 9d. How much has each ?

1. Define an equilateral triangle, an isosceles triangle, a scalene triangle; and state, with respect to each of them, whether it can also be right angled or obtuse angled.

2. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides of the other, then the base of that which has the greater angle shall be greater than the base of the other.

3. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.

4. Any two sides of a triangle are together greater than the third side.

5. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square of the whole line.

6. ABC is a scalene triangle. At в the line BX is drawn, on the same side of BC as AB, making the angle CBX equal to the angle BCA, and cutting CA, or CA produced, in x; and at c the line cr is drawn, on the same side of BC as AC, making the angle BCY equal to the angle CBA, and cutting BA produced, or BA itself, in Y. Join XY, and then prove the triangle XYB to be equal to the triangle

XYC.

JOSHUA, AND JUDGES I.-XVIII.

1. Tell the story of the inhabitants of Gibeon.

2. Describe very briefly the exploits of Othniel, Ehud, Shamgar, or Jephthah. (Two only.)

3. Describe the circumstances of the capture and death of Samson.

4. Who were Jabin, Jerubbaal, Gideon, Abimelech, Jair, Manoah, Dagon, Delilah, Micah? (Only four to be chosen.)

5. What dispute arose about the altar of Ed, and how was it settled ?

6. Write a short life of Abimelech, the son of Jerubbaal.

7. Give the geographical position of the Ammonites, Midianites, Amalekites, Moabites, and Philistines, and specify the Judges through whom Israel had deliverance from them.