OCR GCE A LEVEL MATHEMATICS A PAPER 3 QUESTION PAPER 2023 (H240/03: Pure Mathematics and Mechanics). DOWNLOAD OFFICIAL AND VERIFIED OCR GCE A LEVEL MATHEMATICS A PAPER 3 QUESTION PAPER 2023 ON www.leakedexams.com.
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1 Using logarithms, solve the equation
4 5 2 1 x x = ,
giving your answer correct to 3 significant figures. [3]
2 (a) Express 3 4 sin c x x - os in the form R x sin( ) -a , where R 2 0 and 0 9 ° ° 1 1 a 0 . Give the
value of a correct to 4 significant figures. [3]
(b) Hence solve the equation 3 4 sin c x x - = os 2 for 0 9 ° ° 1 1x 0 , giving your answer correct to
3 significant figures. [2]
3 The cubic polynomial f( )x is defined by f( )x x px q 3 = , where p and q are constants.
(a) (i) Given that f 2 l( ) = 13, find the value of p. [2]
 (ii) Given also that ( ) x-2 is a factor of f( )x , find the value of q. [2]
Author | OCR KING |
Published | 30 Jul 2024 |
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