Elementary arithmetic, with brief notices of its history... by Robert Potts.

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54 workmen at 2s. 3d., and 21 boys at Is. 6d. They work 6 days in
the week. How much has the master to pay in wages per week, and
how much per year?
8. A manufacturer employs 50 men and 35 boys, who respectively
work 12 and 8 hours per day during 5 days of the week, and half time
on the remaining day. Each man receives 6d., and each boy 2d. per
hour. What is the amount of wages paid in the year?
9. There is in a manufactory a certain number of workmen who
receive 50s. a week, twice as many who receive 31s. 6d. a week, and
eleven times as many who receive 14s. a week, and the total amount
of the workmen's wages for one week is ~93 9s.; find the number of
workmen.
XI.
1. Distinguish between abstract and concrete numbers, and show
that the distinction is necessary to avoid error in the interpretation of
the results of numerical calculations.
2. What is the standard lineal measure of the United Kingdom?
Give a brief account of its history, where is it preserved, and how is
it kept correct?
3. How many inches are there in 24 lineal yards 2 feet and 11
inches? Conversely, how many yards, feet, and inches are there in
899 lineal inches?
4. How many yards, feet, and inches are there in a million lineal
inches? Reverse the process.
5. Find how many inches there are in 5 miles, 1 furlong, 151
yards.
6. Divide 10,841 lineal yards by 37 and by 37 lineal yards, and
state the nature of the quotients.
XII.
1. A carriage wheel revolves 3 times in going 11 yards; how many
times will it revolve in going two miles and a half?
2. The circumference of the fore wheel of a carriage is 8 feet, and
that of the hind wheel is 10 feet; in what distance will the fore wheel
make 100 revolutions more than the hind wheel?
3. The larger wheel of a carriage being 24 inches in circumference
longer than the smaller, makes 440 revolutions in a mile; how many
will the smaller make in a mile?
4. There are four places on the same road in the order A, B, 0, D.
From A to D the distance is 1,463 miles; from A to C, 728 miles; and
from B to D 1,317 miles. How far is it from A to B, from B to C,
and from C to D?
5. From Ephesus to Cunaxa, Xenophon with the army of Cyrus
marched 16,050 stadia of 202 yards 9 inches each in 93 days. Find
the average length of a day's march in miles and yards.
6. A pound of cotton may be spun into a thread 134,000 yards