Test-Paper. Arithmetic. [1]

Find the G. C. M. and L. C. M. of 12, 16, 18.
Simplify $\frac{1}{2 + \frac{3}{2 + \frac{1}{2}}} + \frac{\frac{2}{3} + \frac{5}{7}}{\frac{1}{3} + \frac{3}{7}}$ .
Define Factor, Multiple, Decimal Fraction. Give the rule (1) for placing the point in division of decimals; (2) for reducing a circulating decimal to a vulgar fraction.
Reduce $\frac{2}{9}$ of $\frac{1}{6}$ of a guinea to the fraction of $\frac{7}{10}$ of $\frac{1}{3}$ of 1l. 4s.
Find the cost of painting the walls of a room 24 ft. 3 in. long, 15 ft. 9 in. wide, and 12 ft. 6 in. high, at 3s. 4d. a square foot.
Find the square root of 40028.00490.
If 10 men mow 9 acres in 24 days, how many men will be required to mow 7 times as many acres in one-fifth of the time?
Find the difference between the discount allowed on 918l., paid 4 years before it is due (interest taken at 5 per cent.), and the interest charged on the same sum for the same time.
A man sells a horse for 41l. 16s., thus gaining $4 \frac{1}{2}$ per cent. on the purchase-money. What did he give for it?
Divide 1300l. into 3 parts in the ratio of $\frac{1}{2}$ , $\frac{1}{3}$ , $\frac{1}{4}$ .

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