12. Find the simple interest on £3725. 158. in 3 years at 31 per cent. per annum. 17. Add together of 7 cwt. and 2:07 of 33 qrs., and express 8 the answer in ounces and the decimal of an ounce. 18. Subtract 657 of 2 acres from 7042 of 1 rood, and express the answer in sq. yds. and the decimal of a sq. yd. 19. Multiply 43.7246 by 24805. 20. Multiply 3.49 by 469, and express the answer as a decimal. 21. Divide 47362 by 0435 correctly to five places of decimals. 22. Divide 26.338 by 1.8626, and express the answer as a decimal. 23. In what time will £4725 at 2 per cent. per annum simple interest amount to £5097. 1s. 10d.? 24. The travelling expenses of 7 tourists for 5 weeks amounted to £75. 5s.; a second party of 18 made the same tour in 6 weeks, their average weekly expenditure per man being 40 of that of the first party. What were the total expenses of the second party? 25. Find the dividend on £1483. 178. at 8s. 11d. in the £. 26. Find a fourth proportional to 275, 275 and 275. 5. Add together 4:30726, 076428, 371 864, and 20-0472, 6. Subtract 47.063782 from 710-04681. 7. Multiply 40·637 by ·028403. 8. Divide 8.31183 by 23·05. 9. Reduce 1.047 of 2 weeks 5 hours to minutes and the decimal of a minute. 10. In 347693 inches, how many miles, furlongs, poles, yards, &c.? 11. What would a tax of 3s. 11d. in the pound amount to in £480? 12. Find the simple interest on £11175 in 2 years at 3 per cent. per annum. 0671 of 168. 8d., and express the answer in pence and the decimal of a penny. 19. Divide 23 648 by '9459. 20. Express 11s. Od. as a decimal of £8. 178. 21. If the interest on a certain sum of money amount to £119. 28. 9d. in 2 years 3 months, what should be the interest on six times the amount in one-fourth the time, the rate being the same and the interest simple in both cases? 22. Is there any difference between the meaning of the sign x in 2×7 and in 2 7 ? If there is, explain the difference 9 fully. APPENDIX. Containing miscellaneous questions in Logarithms and Mensuration. THE following list of numerical constants will be found useful for reference. (1) Logarithms of the first few prime numbers. log 2=3010300. log 3=4771213. log 7=8450980. log 11=1.0413927. log 13-11139434. log 17=1.2304489. When certain logarithms are given in any question, no other logarithms should be used in the solution. (2) Approximate square roots. √/2=1414. √/3=1.732. (3) Approximations to functions of π. T=3.141592653.... but for all practical purposes it is sufficient to take π=3·1416, and this value will always be taken unless the contrary is expressly stated in the question. It is useful to notice that 31416-8 × 3 × 7 × 11 × 17. COMPOUND INTEREST. If M is the amount of P pounds in n years, then M=PR", where R=1+r, and r is the interest on one pound for one year at the given rate per cent. or MENSURATION. List of Formula. I. Plane Figures. (1) Area of a Parallelogram=base x altitude. 1 (2) Area of a Triangle (base x altitude), = Area (product of two sides) x (sine of included angle). 1 2 Area in terms of the sides =√√/s (s − a) ( s − b ) ( s − c), where 28=a+b+c=perimeter of the triangle. 1 (3) Area of a Trapezium=5(sum of parallel sides) x (distance between them). = (4) Area of any. Polygon the sum of the areas of the triangles into which it can be subdivided. (7) Sector and Segment of a circle of radius r. If the angle at the centre is n degrees or 0 radians, |