Arithmetic.

(Candidates must give the working of each question in full, and not merely the answer.)

1. Define the following terms:—Numeration, Notation, Product, Quotient, Greatest Common Measure, Least Common Multiple, Improper Fraction, Decimal, Interest.

Then add and multiply these two numbers together, and subtract the smaller of them from the greater.

2. A man determines to spend 5s. 6½d. a day from the 1st of January, 1879. How much will he save in 5 years, if his yearly salary be £120?

3. Simplify

4. A school is composed of three divisions. There are ½ 2/5 ths of the whole number of pupils in the first division; 1/5 in the second: the remainder, eighty in number, are in the third. How many pupils are there altogether?

5. Reduce 21/3 shillings to the decimal of half a guinea.

Divide .014616 by 7.2, and 400.4 by .0572.

6. Subtract .03 from .03, and divide the result by .102.

7. A room is 15 ft. long, 10 ft. broad, 9 ft. 9 in. high: find the expense of painting the walls and ceiling at is. 9d. per square yard.

8. 1100 men make 10 miles of railroad in 3 months: how long will it take 2750 men to make 75 miles?

10. What will £360 amount to in 4 years and 2 months, at £3. 6s. 8d. per cent. per annum, simple interest?

In what time will a sum of money double itself at the above rate?