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ADDITIONAL MATHEMATICS 0606/12
Paper 1 February/March 2024
2 hours
You must answer on the question paper.
No additional materials are needed.
INSTRUCTIONS
● Answer all questions.
● Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
● Write your name, centre number and candidate number in the boxes at the top of the page.
● Write your answer to each question in the space provided.
● Do not use an erasable pen or correction fluid.
● Do not write on any bar codes.
● You should use a calculator where appropriate.
● You must show all necessary working clearly; no marks will be given for unsupported answers from a
calculator.
● Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in
degrees, unless a different level of accuracy is specified in the question.
INFORMATION
● The total mark for this paper is 80.
● The number of marks for each question or part question is shown in brackets [ ].
This document has 16 pages. Any blank pages are indicated.
DC (PQ/CT) 327629/3
© UCLES 2024 [Turn over
, 2
Mathematical
MathematicalFormulae
Formulae
1. ALGEBRA
Quadratic Equation
For the equation ax 2 + bx + c = 0 ,
- b ! b 2 - 4ac
x=
2a
Binomial Theorem
n n n
(a + b) n = a n + e o a n - 1 b + e o a n - 2 b 2 + f + e o a n - r b r + f + b n
1 2 r
n
where n is a positive integer and e o =
n!
r (n - r) !r!
Arithmetic series un = a + (n - 1) d
1 1
Sn = n (a + l ) = n {2a + (n - 1) d}
2 2
Geometric series un = ar n - 1
a (1 - r n )
Sn = ( r ! 1)
1-r
a
S3 = ( r 1 1)
1-r
2. TRIGONOMETRY
Identities
sin 2 A + cos 2 A = 1
sec 2 A = 1 + tan 2 A
cosec 2 A = 1 + cot 2 A
Formulae for ∆ABC
a b c
= =
sin A sin B sin C
a 2 = b 2 + c 2 - 2bc cos A
1
T = bc sin A
2
© UCLES 2024 0606/12/F/M/24
, 3
1 Given that y = 2 + 4 cos 3i , for - 120° G i G 120° ,
(a) write down the amplitude of y [1]
(b) write down the period of y. [1]
(c) On the axes, sketch the graph of y. [3]
y
8
6
4
2
– 120° – 100° – 80° – 60° – 40° – 20° 0 20° 40° 60° 80° 100° 120° i
–2
–4
–6
–8
© UCLES 2024 0606/12/F/M/24 [Turn over