127. If 27 pieces of lumber are required for a piece of work, aggregating 165 ft. of material, what per cent of the whole is one piece?

128. What per cent of a pile of lumber containing 1972 ft. is left, if 1368 ft. are sold?

129. If 276.027 ft. are 19 per cent of a pile of lumber, how much is there in the whole pile?

130. If 5 ft. of lumber is wasted in sawing 600 ft., what per cent is wasted?

131. Make a stock list for the finish of a given room.

132. A bought a lot of land for $100, giving his note at 7 per cent. He built a small barn upon it, the material for which cost $175. At the end of one year he sold the property for $350. What per cent of this amount was his own?

133. If 1/3 of the cost of one piece of work is $56, or the completed cost of another, what is the per cent of difference between the two?

134. What is the per cent of profit of a piece of work which cost $28.50, and was sold for $36.70?

135. If 7 men together do a piece of work, 2 of whom receive 1/3 of the amount paid, what per cent will each of the other 5 receive if all receive equal amounts?

136. A builder borrows $1000 on a 4 months' note to help him complete a contract. When the note matures his payment is $1037.50. What was the annual rate of interest?

137. Estimate the siding of a given house, making no allowance for openings, and allowing \ of area for waste.

138. A house cost $1225. The owner lived in the house three months, during which time he made repairs costing $173.90. He then sold the property for $1600. Estimating interest at 6 per cent, and the rent of the house at $15 per month, what was the profit upon his investment?

139. A student works all summer, and all of the time possible outside of school hours. He earns $135 per year, out of which he pays three terms' bills at $30 per term, sends $20 home, and uses the rest for incidentals. What per cent of the whole is the latter item?

140. A certain job requires 1/2 as much lumber as is used upon two other jobs, one of which uses 29 ft., or 36 per cent as much as is used for the two. What is the total amount used for the three jobs?

141. A lumber dealer buys lumber for $20 per M, holds it at an expense of $2 per M, and sells it for $30.50 per M. What is the per cent of profit?

142. A student pays 82 per cent of his money or $30 for one term's school expenses, and the rest for incidentals. How much did he have originally?

(Questions 143 to 155 inclusive are suggestions for drill.)

143. What is the first power of 4; 8; 12?

144. What is the second power of 3; 9; 20; 25?

145. What is the third power of 6; 8; 12; 18; 30?

146. Raise the following numbers to the powers indicated by the exponents: 3; 122; 81; 123; 181; 303.

147. Square 6; 3; 5; 80.

148. Cube 3; 5; 9; 17.3978.

149. What are the two equal factors of 25; 156.25; 324; 600.25; 1600?

150. Of what number is 4 the second power? 9; 49; 81?

151. How many orders are there in the square roots of 100; 2809; 36,864?

152. How many orders are there in the square roots of 9; 49; 64; 81?

153. What is the square root of 4; 9; 16; 25; 49; 81; 100?

154. What is the square root of 625; 768; 5280; 12,967; 192,621?

155. What is the square root of 9.612; 22.94; 323.96; 4919.61?

156. What is the length of the diagonal of the floor of a closet 8' long and 6' wide?

157. The floor of a building is 24' X 32'; what is the length of its diagonal?

158. The diagonal of a room is 16', the height is 12'; what is the length from the corner at the floor to the corner at the ceiling, diagonally opposite?

159. A ladder is resting against the plate of a house, at a point 20' from the ground. The foot of the ladder is 4' 9" from the house. What is the length of the ladder?

160. What would be the height of the riser of a flight of stairs which has a total rise of 9' 3" from floor to floor?

161. If a building is 8' clear from floor to ceiling, the lath and plaster 1" thick, floor joists 2" X 8", and the flooring of the second story 1" thick, what will be the rise of the stairs?

162. A flight of stairs in a school building has 18 risers which extend 10' 1 1/2" from floor to floor. What is the height of each riser?

163. If there are 15 risers and the treads are 10" wide, what will be the entire run of a straight flight of stairs?

164. If a step has a rise of 7 1/2" and a run of 101/2", what will be the full width of the tread?

165. A straight run of stairs has 14 risers, and the treads are 113/6 5/4" wide. What will be the entire run of the stairs?

166. If a floor has an area of 700 sq. ft., and one side is 20', what is the length of the diagonal?

167. What would be the dimensions of a perfectly square room 1.72 sq. ft. larger than the above room?

168. If the length of an armory is 80' and its diagonal is 100', what is the width?

169. A building is 28' high, and throws a shadow 18' on level ground. How far is it from the end of the shadow to the top of the building?

170. The distance from the top of a pole to the end of its shadow on the ground is 75.05'. If the shadow extends 40' from the base, how high is the pole?

171. What are the dimensions of each step of a flight which rises 108" and has a run of 135"?

172. What would be the full width of the tread of the above steps?

173. What will be the total fall of a drain which is 450' long, and has a pitch of 3" to every 50'?

174. What will be the pitch per foot of the outside drain of a house 28' X 40', if it is 8" lower at the S.W. corner than it is at the N.E.?

175. A drain is to be laid around the inside of a cellar 32' X 50', one foot from the center of the drain to the inside of the wall. If it has a fall of 4" to 50', what will be its total fall?

176. If the diameter of a circle is 23", what is its circumference?