Mathematics formulae - Study guides, Class notes & Summaries
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AQA AS FURTHER MATHEMATICS 7366/2D Paper 2 Discrete Version: 1.0 Final G/LM/Jun23/E4 7366/2D (JUN2373662D01) AS FURTHER MATHEMATICS Paper 2 DiscreteQUESTION PAPER & MARKING SCHEME/ [MERGED] Mark scheme June 2023
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AQA 
AS 
FURTHER MATHEMATICS 
7366/2D 
Paper 2 Discrete 
Version: 1.0 Final 
G/LM/Jun23/E4 7366/2D (JUN2373662D01) 
AS 
FURTHER MATHEMATICS 
Paper 2 Discrete 
Friday 19 May 2023 Afternoon Time allowed: 1 hour 30 minutes 
Materials 
l You must have the AQA Formulae and statistical tables booklet for 
A‑level Mathematics and A‑level Further Mathematics. 
l You should have a graphical or scientific calculator that meets the 
requirements of the specification. 
l You must ensure you have the ot...
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2023 AQA GCSE MATHEMATICS 8300/3F Foundation Tier Paper 3 Calculator Question Paper & Mark scheme (Merged) June 2023 [VERIFIED]
- Exam (elaborations) • 60 pages • 2024
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2023 AQA GCSE MATHEMATICS 8300/3F Foundation Tier Paper 3 Calculator 
Question Paper & Mark scheme (Merged) June 2023 [VERIFIED] 
GCSE 
MATHEMATICS F 
Foundation TierPaper 3 Calculator 
Wednesday 14 June 2023Morning Time allowed: 1 hour 30 minutes 
Materials 
For this paper you must have: 
• a calculator 
• mathematical instruments 
• the Formulae Sheet (enclosed). 
Instructions 
• Use black ink or black ball-point pen. Draw diagrams in pencil. 
• Fill in the boxes at the top of this p...
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AQA A-level MATHEMATICS 7357/2 Paper 2 Version: 1.0 Final Question Paper & Mark scheme [MERGED] June 2023
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A-level 
MATHEMATICS 
Paper 2 
Tuesday 13 June 2023 Afternoon Time allowed: 2 hours 
Materials 
l You must have the AQA Formulae for A‑level Mathematics booklet. 
l You should have a graphical or scientific calculator that meets the 
requirements of the specification. 
Instructions 
l Use black ink or black ball‑point pen. Pencil should only be used for drawing. 
l Fill in the boxes at the top of this page. 
l Answer all questions. 
l You must answer each question in the space provided for t...
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OCR 2023 GCE MATHEMATICS A H230/02: PURE MATHEMATICS AND MECHANICS AS LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
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2 
© OCR 2023 H230/02 Jun23 
x 
2 
2 
Formulae 
AS Level Mathematics A (H230) 
Binomial series 
^a+bh 
n 
= a 
n + 
nC1 
a 
n-1 
b+ 
nC2 
a 
n-2 
b 
2 +f+ 
nCr 
a 
n-r 
b 
r +f+ b 
n ^n e Nh, 
where nC = C = c 
n 
m = 
n! 
r n r r r!^n-rh! 
Differentiation from first principles 
fl^xh = lim f^x+hh-f^xh 
h "0 h 
Standard deviation 
/ x 
2 / fx2 
= 
n 
-x 
2 or = / f 
-x 
2 
The binomial distribution 
If X ~ B^n, ph then P^X = xh = c 
n 
mp 
x^1-ph 
n-x 
, mean of X is np, variance of X is np^1 ...
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Edexcel as level mathematics statistics question paper 21 may 2023
- Exam (elaborations) • 13 pages • 2024
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Please check the examination details below before entering your candidate information 
Candidate surname Other names 
Centre Number Candidate Number 
Pearson Edexcel Level 3 GCE 
Thursday 25 May 2023 
Afternoon Paper reference 8MA0/21 
Total Marks 
Mathematics 
Advanced Subsidiary 
PAPER 21: Statistics 
You must have: 
Mathematical Formulae and Statistical Tables (Green), calculator 
Candidates may use any calculator allowed by Pearson regulations. Calculators 
must not have the facility for sym...
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AQA AS FURTHER MATHEMATICS Paper 1 May 2013
- Exam (elaborations) • 32 pages • 2023
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AS 
FURTHER MATHEMATICS 
Paper 1 
 
Monday 15 May 2023	Afternoon	Time allowed: 1 hour 30 minutes 
Materials 
	You must have the AQA Formulae and statistical tables booklet for A-level Mathematics and A-level Further Mathematics. 
	You should have a graphical or scientific calculator that meets the requirements of the specification. 
 
Instructions 
	Use black ink or black ball-point pen. Pencil should only be used for drawing. 
	Fill in the boxes at the top of this page. 
	Answer ...
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PEARSON EDEXCEL LEVEL 3 GCE As LEVEL MATHEMATICS ADVANCED SUBSIDIARY PAPER 1:PURE MATHEMATICS ACTUAL 2024 GENUINE EXAM AND MARKING SCHEME CHECK THE LAST SECTION FOR MARKING SCHEME 100% APPROVED QUESTIONS AND VERIFIED ANSWERS
- Exam (elaborations) • 47 pages • 2024
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PEARSON EDEXCEL LEVEL 3 GCE As LEVEL MATHEMATICS 
 ADVANCED SUBSIDIARY 
 PAPER 1:PURE MATHEMATICS 
 
 
 
ACTUAL 2024 GENUINE EXAM AND MARKING SCHEME 
 CHECK THE LAST SECTION FOR MARKING SCHEME 
 
 
100% APPROVED QUESTIONS AND VERIFIED ANSWERS 
 
 
 
 
Candidates may use any calculator permitted by Pearson regulations. Calculators must not have the facility for algebraic manipulation, differentiation and integration, or have retrievable mathematical formulae stored in them. 
 
 
Answer ALL que...
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Edexcel a level further pure mathematics question paper 3a june 2023
- Exam (elaborations) • 29 pages • 2024
-
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Please check the examination details below before entering your candidate information 
Candidate surname Other names 
Centre Number Candidate Number 
Pearson Edexcel Level 3 GCE 
Thursday 22 June 2023 
Afternoon (Time: 1 hour 30 minutes) Paper reference 9FM0/3A 
Total Marks 
Further Mathematics 
Advanced 
PAPER 3A: Further Pure Mathematics 1 
You must have: 
Mathematical Formulae and Statistical Tables (Green), calculator 
Candidates may use any calculator permitted by Pearson regulations. Calcu...
-
AQA GCSE MATHEMATICS 8300/3H Higher Tier Paper 3 Calculator Version: 1.0 Final *jun2383003H01* IB/M/Jun23/E8 8300/3H QUESTION PAPER & MARKING SCHEME/ [MERGED]
- Exam (elaborations) • 58 pages • 2024
- Available in package deal
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AQA 
GCSE 
MATHEMATICS 
8300/3H 
Higher Tier Paper 3 Calculator 
Version: 1.0 Final 
*jun2383003H01* 
IB/M/Jun23/E8 8300/3H 
For Examiner’s Use 
Pages Mark 
2–3 
4–5 
6–7 
8–9 
10–11 
12–13 
14–15 
16–17 
18–19 
20–21 
22–23 
24–25 
TOTAL 
Wednesday 14 June 2023 Morning Time allowed: 1 hour 30 minutes 
Materials 
For this paper you must have: 
• a calculator 
• mathematical instruments 
• the Formulae Sheet (enclosed). 
Instructions 
• Use black in...
-
OCR 2023 GCE MATHEMATICS A H240/03: PURE MATHEMATICS AND MECHANICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Exam (elaborations) • 75 pages • 2024
- Available in package deal
-
- $8.49
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2 
© OCR 2023 H240/03 Jun23 
^ h 
= 
n+1 
2 
n 2 2 
2! r! 
dx dx 
Formulae 
A Level Mathematics A (H240) 
Arithmetic series 
S = 
1 
n^a + lh = 
1 
n"2a +^n - 1hd, 
Geometric series 
Sn 
= 
a 1-r 
n 
1 -r 
 a 
3 1-r 
for r 1 1 
Binomial series 
^a+bh 
n 
= a 
n + 
nC1 
a 
n-1 
b+ 
nC2 
a 
n-2 
b 
2 +f+ 
nCr 
a 
n-r 
b 
r +f+b 
n ^n e Nh, 
where 
nC = C = c 
n 
m = 
n! 
r n r r r!^n -rh! 
^1+xh 
n 
= 1+nx+ 
n^n -1h 
x 
2 
+f+ 
n^n -1hf^n -r+1h 
x 
r 
+f ^x 1 1, n e Rh 
Differentiation 
f x fl x...
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