142 find in four significant figures the limits between which the circumference

142 find in four significant figures the limits

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By taking ∏ to be 3.142, find in four significant figures the limits between which the circumference lie. (2 marks) SECTION II (50 MARKS) Answer all questions in this section. 6
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17. (a) A bag contains X red balls and Y yellow balls. Four times the number of red balls is equal to nine times the number of yellow balls and twice the total number of balls exceeds the number of yellow balls by 44. how many balls of each colour does the bag contain. (4 marks) (b) The sum of a two digit is 11 when the numbers are reversed and difference between original number and the reversed is 27. Find the number. (6 marks) 18. Draw the graph of y = 2x 2 + 5x - - 3 in the range –5 ≤ x ≤ 3. Use your graph to solve. (5 marks) 7
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(i) 2x 2 + 5x + 2 = 0 (3 marks) (ii) 2x 2 + 5x <7 (2 marks) 8
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19. G and H are known to be connected by a law of the form G = KH n where K and n are constants. The table below shows values of H and corresponding values of G. H 2 3 4 6 7 8 G 8.5 15.6 24.0 44.1 55.6 67.9 (i) Express the above equation in linear form (1 mark) (ii) Draw a linear graph to represent the information given above. (5 marks) (iii) Find the gradient of the line in (ii) above. (2 marks) (iv) Find the values of k and n and hence state the relationship between G and H. (2 marks) 9
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20. Daniel bough shares worth sh. 210,000 on 1 st
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