1. Three similar pieces of timber of length 240cm, 320cm and 380cm are cut into equal pieces. Find the largest possible area of a square which can be made from any of the three pieces. (3mks) 2. Without using a calculator or mathematical tables, evaluate; 1. 51 27 +2 6 3 20 (3mks) 1 3. Mr. Owino spends of his salary on school fees. He spends of the remainder on food and a fifth of what is left on transport. He saves the balance. In certain month he saved Sh. 3400. What was his salary? 4. A plot in a shape of rectangle measurers 608m by 264m. Equidistance fencing posts are placed along its length and breadth as far apart as possible. Determine a. The maximum distance between the posts. (2mk) b. The number of posts used. (2mks) 5. Three bells P, Q and R are programmed to ring after an interval of 15 minutes, 25 minutes and 50 minutes respectively. If they all rang together at 8.45 a.m., when will they next ring together again? (4mks) 6. Four strings measuring 12cm, 18cm, 24cm and 36cm are cut into pieces of equal length so that exact number of pieces are obtained from each string without wastage. Find the longest length of each string. (3mks) 7. Without using a calculator or mathematical table evaluate: (3 marks) 215 + 2/3 of 334-416 14-22/5+1/3+ 3 3/4 The average lap time for 3 athletes in a long distance race is 36 seconds, 40 seconds and 48 seconds respectively. If they all start the race at the same time, find the number of times the slowest runner will have been overlapped by the fastest at the time they all cross the starting Point together again. (4 marks) 9. In Equity Bank, on average, Teller A takes 3 mins while Teller B takes 5 mins to serve a customer. If the two tellers start to serve the customers at the same time, find the shortest time it takes to serve 200 customers. (4 marks)​



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