Topical Revision Paper 2 Unit 2 Surds Indices Students

Topical Revision Paper 2 Term 1 Unit 2 Surds and Indices Question 1: Without using a calculator, simplify     22 32 2 5 2 5   . [3] Answer : 9 20 5 Question 2: Solve for x 2432(27 ) 45(3 ) 3 xx x . [4] Answer : 3 2x Question 3: The area of a rectangle ABCD is given by m2, and the length of side AB is m. Find, without using a calculator, the length of side BC in the form of m, where a and b are real numbers. [4] Answer : Length of BC = 5 2 m2   Question 4: Without using a calculator, find the fractions, a and b, for which 6 7 5 4 5 7   can be expressed as 35ab . [3] Answer : 62 73a  and 25 73b  Question 5: (a) Without using a calculator, evaluate   0 11 4212 49 167     . [2] (b) Given that 21 1 24327 x  , find the value of x. [2] Answer : (a) 75 14  (b) 4 3x  1 3 2  28 ( 2)ab

Question 6: Solve for x, 4 2 213 4(169 ) 2145xx  . [4] Answer : 1 4x