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Thursday 16 May 2024 – Afternoon
AS Level Mathematics A
H230/01 Pure Mathematics and Statistics
Time allowed: 1 hour 30 minutes
You must have:
• the Printed Answer Booklet
• a scientific or graphical calculator
INSTRUCTIONS
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided in the Printed Answer
Booklet. If you need extra space use the lined pages at the end of the Printed
Answer Booklet. The question numbers must be clearly shown.
• Fill in the boxes on the front of the Printed Answer Booklet.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might be
given for using a correct method, even if your answer is wrong.
• Give non-exact numerical answers correct to 3 significant figures unless a different
degree of accuracy is specified in the question.
• The acceleration due to gravity is denoted by g m s–2. When a numerical value
is needed use g = 9.8 unless a different value is specified in the question.
• Do not send this Question Paper for marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 75.
• The marks for each question are shown in brackets [ ].
• This document has 8 pages.
ADVICE
• Read each question carefully before you start your answer.
Turn over
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Formulae
AS Level Mathematics A (H230)
Binomial series
n
^a + bh = an + nC1 a n-1b + nC2 a n-2b2 +f+ nCr a n-rbr +f+ ^n e Nh,
bn
n n!
where nC = C = c m =
r n r r r!^n - rh!
Differentiation from first principles
f^x + hh - f^xh
f l^xh =h lim
"0 h
Standard deviation
/^x - xh2 / x2 / f ^x - xh2 / fx2
= -x2
n n -x 2 or /f = /f
The binomial distribution
n n -x
If X ~ B^n, ph then P^X = xh = c mpx^1 - ph , mean of X is np, variance of X is np^1 - ph
x
Kinematics
v = u + at
s = ut + 21 at2
s =2 1
^u +
vht v2 = u2 +
2as s = 2vt -
1
at2
verified
Thursday 16 May 2024 – Afternoon
AS Level Mathematics A
H230/01 Pure Mathematics and Statistics
Time allowed: 1 hour 30 minutes
You must have:
• the Printed Answer Booklet
• a scientific or graphical calculator
INSTRUCTIONS
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided in the Printed Answer
Booklet. If you need extra space use the lined pages at the end of the Printed
Answer Booklet. The question numbers must be clearly shown.
• Fill in the boxes on the front of the Printed Answer Booklet.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might be
given for using a correct method, even if your answer is wrong.
• Give non-exact numerical answers correct to 3 significant figures unless a different
degree of accuracy is specified in the question.
• The acceleration due to gravity is denoted by g m s–2. When a numerical value
is needed use g = 9.8 unless a different value is specified in the question.
• Do not send this Question Paper for marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 75.
• The marks for each question are shown in brackets [ ].
• This document has 8 pages.
ADVICE
• Read each question carefully before you start your answer.
Turn over
verified
, 2
Formulae
AS Level Mathematics A (H230)
Binomial series
n
^a + bh = an + nC1 a n-1b + nC2 a n-2b2 +f+ nCr a n-rbr +f+ ^n e Nh,
bn
n n!
where nC = C = c m =
r n r r r!^n - rh!
Differentiation from first principles
f^x + hh - f^xh
f l^xh =h lim
"0 h
Standard deviation
/^x - xh2 / x2 / f ^x - xh2 / fx2
= -x2
n n -x 2 or /f = /f
The binomial distribution
n n -x
If X ~ B^n, ph then P^X = xh = c mpx^1 - ph , mean of X is np, variance of X is np^1 - ph
x
Kinematics
v = u + at
s = ut + 21 at2
s =2 1
^u +
vht v2 = u2 +
2as s = 2vt -
1
at2
verified
