Marks height is 203 cm and Ellens height is 185 cm Both heig

Mark\'s height is 203 cm and Ellen\'s height is 185 cm. Both heights are given to the nearest cm. Find the maximum possible difference between the two heights. A can of drink weights 342 g to the nearest gram. What are the minimum and maximum weight of the can? The cans are sold in packs of 12 what are the minimum and maximum weights of a pack of cans? A boy runs 40 meters at a speed of 5m/s. Both values are measured to an accuracy of one significant figure. What is the least possible time taken? Simon bought audio items and gives their approximate costs. Prices up to pound 15 are given to the nearest pound 1. Prices over pound 15 are given to the nearest pound 5. Simon bought a CD player, a CD cosign pound 12 and headphones costing pound 20. He says that he paid pound 150 in total. This total is given to the nearest pound 10. Find the maximum possible price which Simon could have paid for the CD player. You must show your working. A floodlight tower is marked with the following sign. The spotlights on the tower are rated at 2500 watts each. The manufacturer can only guarantee that the wattage of these spotlights is accurate to the nearest 100 watts. What is the maximum number of spotlights that can safely be put on the tower? The formula W = I^2 R connects W (watts), I (amps) and R (ohms). For one of the spotlights, the value of I is 25 amps measured to 2 significant figures. What is the minimum possible value of R?

Solution

1. Maximum difference in height

= (204 - 184) cm = 20 cm

Minimum difference in height

= (202 - 186) cm = 16 cm

2. (a) Maximum weight of can is = 343 grams

Minimum weight of can is = 341 grams

  (b) The number of cans in a pack = 12

Hence, maximum weight of packs = 12 x 343 grams

= 4116 grams

and the minimum weight of packs = 12 x 341 grams

= 4092 grams

3.