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19 10. The m«iian and mode ofthe distribution are 21.2 and 2.1 reqxctively , then find the of its mean? 11 Find the mode of the following data Class 20-30 Freqtmcy 4 7 40-50 50-60 11 60-70 2 Class 12 „ Ifthe median ofthe following frequency distribution table is 46, find the missing frequencies 10-20 20-30 30-40 40-50 50-60 60-70 70-80 TOTAL 30 65 25 18 229 13.. Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How Ofeach piece would each child need to build tracks that are equal in length? 14. Show that only One of n, n+2, or n+4 is divisible by 3 where n is a positive integer 15. Use Euclid's division Algorithm to show that the cube of any positive integer is either Of the form 9q, 9q+l,or 9q+8. 16. State and prove Pythagoras theorem. 17.Change the data given below to a more than type, less than type frequency distribution. Draw the ogives and find median from it. Class No. of student 0-10 2 10-20 4 20-30 6 30-40 7 40-50 3 18.Show that — and Z— are the zeroes of the polynomial 4x2+4x -3 and verify the relationship between zeroes and co-efflcient of polynomial. 19 -Solve 6x+3y =6xy, 2x+4y —5xy.