SECTION II.-Question 3.-A man pays three bills, the first in half-crowns, the second in florins, the third in shillings, the number of coins in each case being equal. The amount of all the bills is £40 14s. find the amount of each separately. Ist coin 3rd s. d. For Is. Iod. there would be 1 coin Id. Average for 3 coins 5. 6 814 12 9768 pence. As the numbers of each were equal, and as there were three kinds, .'. =no. of each kind 444 3 SECTION III.-Make out the following bill : 27 dozen shirts, at 2s. 9 d. each. 50 doz. pairs of boots, at 37s. 6d. per half-doz. 187 II 9 8 I 324 @2s. 93d. 59@ £1 5s. 4d. × 4 SECTION IV.-I. How many bricks, whose length, breadth, and depth are 81, 44, 2 inches respectively, can be stored in a space 17 yards long, 10 yards broad, 8 feet high? Number that can be stored (8 in. x 4 in. x 2 in.) = (17 yds. × 10 yds x 8 feet)÷ in. x 10 x 36 in. x 17 x 12 in.) ÷ (35 in. x 1Zin.xin.) I 2 = 35 x 36 in. x I 36 14 36 17 =36×2× 36 × 12X4X2 36 4 2 SECTION V. 2. The top of a building, 236 feet high, is reached SECTION VIII. .-I. What is the total income on which a tax of 5d. in the £1 is levied, if the tax produces £113 5s. 3d. after deducting per cent. for cost of collection? For every 100 collected there would be £100 — √ remaining; i.e., net = £9918. £113 5s. 3d.:: £100 to gross amount collected. 113 55. 3d. : : 100 x 16 .. As £951 1599: 27183=17d. x 100 x 16=27 200d. = £113 6s. 8d. [Total collected. For every 5d. of tax there would be £1 of income. .. As d. 113 6s. 8d.:: £1: total income. 27206 SECTION IX.-I. Find the square root of 160, and the cube root of 8.1, each to two places of decimals. SECTION X.-2. In a co-operative factory, how should a sum of £125 35. 5d. be divided among three workmen, who work 8, 9, 10 hours per day respectively, and whose rates of production per hour are also in the same ratios, and who have employed 10, 11, 12 days respectively on the work? A works 8 hours a day, his rate of production is 8, and he works 10 days. B works 9 hours a day, his rate of production is 9, and he works II days. C works 10 hours a day, his rate of production is 10, and he works 12 days. =11d. x 891= 9801d. =816s. 9d. =£40 16s. 9d. =11d. x 1200=13200d. = IIOOS. =£55 os. od. PUPIL TEACHER EXAMINATION PAPER-FEB. 1880. CANDIDATES. Arithmetic.-MALES.-I. If the country has to pay at the rate of 75. 34d. per day per soldier in a campaign, what will be the expense of an army of 11,500 men for six weeks? 2. What is meant by "Proportion, or the Rule of Three"? A labourer working 7 hours a day, does a job in 9 days; how many hours a day must he work to get it done in 7 days? Show that it is unnecessary to state this sum. 3. If a piece of land 375 ft. 6 ins. by 75 ft. 6 ins. cost £118 25. 61d., |