Apr 18, 2011

A level maths revision -  for AS and A2 mathematics students

http://www.schoolworkout.co.uk/a_level.htm

The A level maths pages on schoolworkout contain a wide variety of revision material to help students prepare for their AS and A2 mathematics examinations. Resources cover modules in Core Maths, Statistics, Decision Maths and Further Pure Mathematics.

 MATHS PAGES FOR STUDENTS KS3 GCSE A LEVEL MATHS PAGES FOR TEACHERS KS3 RESOURCES GCSE RESOURCES A LEVEL Home

 Revision material Links Past paper solutions

If you are about to start on an A level maths course, this Induction booklet revises key topics from GCSE, such as factorising, rearranging formulae and indices.  It will help you to make the best possible start to your course.

The Word documents given in the table below were designed to support OCR's A level mathematics and further mathematics courses.

I offer Maths tuition to people living in the Maidstone area of Kent.  Please email me for more information:  maths@schoolworkout.co.uk

Core Mathematics Statistics Further Mathematics
C1 and C2 S1 FP1

Applications of differentiation

Coordinate geometry

Differentiation revision

Factor and remainder theorems

Binomial theorem

Integration

Trigonometry

TOPIC NOTES

Standard deviation (doc or pdf)

Introduction to probability (doc or pdf)

Conditional probability (doc or pdf)

Further conditional probability (doc or pdf)

Product-moment correlation coefficient (docor pdf)

Spearman's Rank Correlation Coeff (doc orpdf)

Regression  (.doc or pdf)

REVISION NOTES

Descriptive & numerical stats (doc or pdf)

Probability (.doc or pdf)

Combinations/ permutations (.doc or pdf)

Discrete random variables (.doc or pdf)

Binomial and geometric (.doc or pdf)

Correlation coefficients (.doc or pdf)

Regression (.docx or pdf)

S1 mindmap (.doc or pdf)

Complex numbers

Introduction to matrices

Proof by induction

Roots of quadratic and cubic equations

Series

Matrices and transformations

FP1 (revision summary sheets)

Complex numbers

C3 and C4 S2 FP3

Functions

Exponential functions and logarithms

Chain, product and quotient rules

Integration (including volumes of revolution)

Trigonometry 1 (inverse functions)

Trigonometry 2 (identities and equations)

Numerical methods

Partial fractions

Binomial expansions and parametric functions

Differentiation (implicit, parametric and trigonometric)

Vectors

Integration  (trigonometric and use of substitution)

Integration by parts

Differential equations

Which method of integration should you use?

Summary of differentiation results

Summary of integration results

Revision documents for S2 coming soon!!

Introduction to groups

Differential equations

Complex numbers (de Moivre's theorem)

Vectors

FP3 (past examination questions)

Groups

Differential equations

Complex numbers

Vectors

Mathsnet resources for C1-C4 as well as applied modules and further maths.

waldomaths:  interactive resources for maths.  The site includes a comprehensive set of links to other maths sites.

Milford Haven School: past examination questions for Mechanics organised into topics.

Kent Further Maths Centre: this website has particularly good resources for Decision Mathematics (D1), Mechanics and Further Mathematics.

Metric Maths at Imperial College London:

Mathcentre  - this website has excellent video tutorials.

Home ] GCSE ] Key Stage 3 ] Key Stage 4 ] [ A level ]

Apr 7, 2011

1. [PDF]

Singapore International Mathematical Olympiad National Team ...

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Singapore International Mathematical Olympiad. National Team Selection Tests 1994/95 - 2003/2004. 1994/95. 1.1.* Let N = {1,2,3, . ...
sms.math.nus.edu.sg/Simo/199567890123.pdf
2. [PDF]

Singapore International Mathematical Olympiad Committee 22-9-2001 ...

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Singapore International Mathematical Olympiad Committee. 22-9-2001. 1. Consider the set of integers A = {2a3b5c : 0 ≤ a, b, c ≤ 5}. ...
sms.math.nus.edu.sg/Simo/training2001.pdf
3. [PDF]

Singapore International Mathematical Olympiad National Team ...

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Singapore International Mathematical Olympiad. National Team Selection Test I 2006. Time allowed: 4.5 hours. 12 May 2006. No calculator is allowed ...
sms.math.nus.edu.sg/Simo/selection_test_2006.pdf
4. [PDF]

Competition corner

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Competition corner. All communications about this column should be sent to Dr. Tay Tiong. Seng, Department of Mathematics, National University of Singapore, ...
sms.math.nus.edu.sg/simo/med022.pdf
5. [PDF]

Training problems 10 April 2003 14. Let A be a set with 8 elements ...

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Training problems 10 April 2003. 14. Let A be a set with 8 elements. Find the maximum number of distinct 3-element subsets of A such that the intersection ...
sms.math.nus.edu.sg/Simo/training2003/trainging_3q.pdf
6. [PDF]

1 April - Training problems 1 April 2003 8. In a group of ...

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Training problems 1 April 2003. 8. In a group of interpreters each one speaks one or several languages, 24 of them speak ...
sms.math.nus.edu.sg/Simo/training2003/training_2q.pdf
7. [PDF]

Singapore International Mathematical Olympiad 2009 Senior Team ...

- 4:35pm
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Singapore International Mathematical Olympiad 2009. Senior Team Training. Take Home Test Solutions. 1. For any positive integer k, let f(k) be the number of ...
sms.math.nus.edu.sg/Simo/2009/2009SeniorTestSoln.pdf
8. [PDF]

200e +FilE#fi+Fffi[Ufrffi#-

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200e +FilE#fi+Fffi[Ufrffi#- ffi-x r. ft u E_--+ *r:*WRn *-f\$€'FE4'lLREt+#tJffiF-A. ffqE, xf{tffiiE. #W. n, #\$#f:. n lY*fr.*,.flx), ]tfr1F- flx)fr\FfrH 6W. ...
sms.math.nus.edu.sg/Simo/CWMO/cwmo2009_questions.pdf
9. [PDF]

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44th International Mathematical Olympiad. Tokyo, Japan, July 2003. 1. Let A be a 101-element subset of the set S = {1,2,3,...,1000000}. Prove that there ...
sms.math.nus.edu.sg/Simo/IMO_Problems/03.pdf
10. [PDF]

Singapore International Mathematical Olympiad 2009 Senior Team ...

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Singapore International Mathematical Olympiad 2009. Senior Team Training. Quiz. 1. Let p and q be distinct odd primes. Prove that. ∑. 0<j<p/2 ...
sms.math.nus.edu.sg/Simo/2009/2009SeniorQuizSoln.pdf
11. [PDF]

- 4:22pm
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45th International Mathematical Olympiad. Athens, Greece, July 2004. 1. Let ABC be an acute-angled triangle with AB = AC. The circle with diameter BC ...
sms.math.nus.edu.sg/Simo/IMO_Problems/04.pdf
12. [PDF]

Selection Procedure of IMO participants

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Selection Procedure of IMO participants. SIMO Committee. SIMO Team to participate in IMO. Participate in. SMO(Junior). Junior Training Team. Final Selection ...
sms.math.nus.edu.sg/Simo/Selection_Flowchart.pdf
13. [PDF]

Singapore International Mathematical Olympiad 2003 National Team ...

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Singapore International Mathematical Olympiad 2003. National Team Training. Geometry. (8) Let P and Q be the feet of the perpendiculars from the orthocenter ...
sms.math.nus.edu.sg/Simo/training2003/training20_03_2003.pdf
14. [PDF]

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41st International Mathematical Olympiad. Taejon, Korea, July 2000. 1. Two circles Γ1 and Γ2 intersect at M and N. Let l be the common tangent to Γ1 and Γ2 ...
sms.math.nus.edu.sg/Simo/IMO_Problems%5C00.pdf
15. [PDF]

2002 - 43rd International Mathematical Olympiad

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43rd International Mathematical Olympiad. Glasgow, United Kingdom, July 2002. 1. Let n be a positive integer. let T be the set of points (x, y) in the plane ...
sms.math.nus.edu.sg/Simo/IMO_Problems%5C02.pdf
16. [PDF]

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40th International Mathematical Olympiad. Bucharest, Romania, July 1999. 1. Determine all finite sets S of at least three points in the plane which satisfy ...
sms.math.nus.edu.sg/Simo/IMO_Problems%5C99.pdf
17. [PDF]

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38th International Mathematical Olympiad. Argentina, July 1997. 1. In the plane the points with integer coordinates are the vertices of unit squares. The ...
sms.math.nus.edu.sg/Simo/IMO_Problems%5C97.pdf
18. [PDF]

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37th International Mathematical Olympiad. India, July 1996. 1. Let ABCD be a rectangular board with |AB| = 20, |BC| = 12. The board is divided ...
sms.math.nus.edu.sg/Simo/IMO_Problems%5C96.pdf
19. [PDF]

- 4:22pm
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42nd International Mathematical Olympiad. Washington DC, United States of America, July 2001. 1. Let ABC be an acute-angled triangle with circumcentre O. ...
sms.math.nus.edu.sg/Simo/IMO_Problems%5C01.pdf
20. [PDF]

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35th International Mathematical Olympiad. Hong Kong, July 1994. 1. Let m and n be positive integers. let a1, a2, ..., am be distinct elements of {1,2,...,n} ...
sms.math.nus.edu.sg/Simo/IMO_Problems%5C94.pdf
21. [PDF]

- 4:22pm
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39th International Mathematical Olympiad. Taiwan, July 1998. 1. In the convex quadrilateral ABCD, the diagonals AC and BD are perpendicular and ...
sms.math.nus.edu.sg/Simo/IMO_Problems%5C98.pdf - Similar
22. [PDF]

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33th International Mathematical Olympiad. Russia, July 1992. 1. Find all integers a, b, c with 1 <a<b<c such that (a − 1)(b − 1(c − 1) is a divisor of ...
sms.math.nus.edu.sg/Simo/IMO_Problems%5C92.pdf
23. [PDF]

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36th International Mathematical Olympiad. Canada, July 1995. 1. Let A, B, C, D be distinct points on a line, in that order. The circles with diameters ...
sms.math.nus.edu.sg/Simo/IMO_Problems%5C95.pdf
24. [PDF]

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34th International Mathematical Olympiad. Turkey, July 1993. 1. Let f(x) = xn + 5xn−1 + 3 where n > 1 is an integer. Prove that f(x) cannot be ...
sms.math.nus.edu.sg/Simo/IMO_Problems%5C93.pdf - Similar
25. [PDF]

12 July 2006 Problem 1. Let ABC be a triangle with incentre I. A ...

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12 Jul 2006 ... 12 July 2006. Problem 1. Let ABC be a triangle with incentre I. A point P in the interior of the triangle satisfies. PBA + PCA = PBC + PCB. ...
sms.math.nus.edu.sg/SIMO/IMO_Participation/imo47/day1.pdf - Similar
26. [PDF]

International Competitions IMO 2007

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Ha Noi, Vietnam. Day 2 - 26 July 2007. 4 In triangle ABC the bisector of angle BCA intersects the circumcircle again at R, the per- ...
sms.math.nus.edu.sg/SIMO/IMO_Participation/imo48/day2.pdf
27. [PDF]

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46th International Mathematical Olympiad. Second Day. Merida, Mexico, Thursday 14 July 2005. Language: English. Problem 4. Consider the sequence a1,a2,... ...
sms.math.nus.edu.sg/SIMO/IMO_Participation/imo46/day2.pdf - Similar
28. [PDF]

13 July 2006 Problem 4. Determine all pairs (x, y) of integers ...

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13 July 2006. Problem 4. Determine all pairs (x, y) of integers such that. 1+2x + 22x+1 = y2. Problem 5. Let P(x) be a polynomial of degree n > 1 with ...
sms.math.nus.edu.sg/SIMO/IMO_Participation/imo47/day2.pdf - Similar
29. [PDF]

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46th International Mathematical Olympiad. First Day. Merida, Mexico, Wednesday 13 July 2005. Language: English. Problem 1. Six points are chosen on the ...
sms.math.nus.edu.sg/SIMO/IMO_Participation/imo46/day1.pdf - Similar
30. [PDF]

Singapore International Mathematical Olympiad Training Problems

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Singapore International Mathematical Olympiad. Training Problems. 18 January 2003. 1. Let M be a point on the segment AB. Squares AMCD and MBEF are erected ...
sms.math.nus.edu.sg/Simo/training2003/training18_01_2003.pdf
31. [PDF]

Singapore International Mathematical Olympiad Training Problems

- 2 visits - 4:35pm
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Singapore International Mathematical Olympiad. Training Problems. 25 January 2003. 1. In a quadrilateral ACGE, H is the intersection of AG and CE, ...
sms.math.nus.edu.sg/Simo/training2003/training25_01_2003.pdf
32. [PDF]

Training problems 27 March 2003 1. Find all integer solutions in x ...

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27 Mar 2003 ... Training problems 27 March 2003. 1. Find all integer solutions in x and y of the equation x3 + 27xy + 2009 = y3. Solution. Let y = x + a. ...
sms.math.nus.edu.sg/Simo/training2003/training27_03_2003.pdf
33. [PDF]

Singapore International Mathematical Olympiad Training Problems

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Singapore International Mathematical Olympiad. Training Problems. 08 March 2003. 1. Let p be a prime number congruent to 1 modulo 4. Define the set ...
sms.math.nus.edu.sg/Simo/training2003/training08_03_2003.pdf
34. [PDF]

Singapore International Mathematical Olympiad Training Problems

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Singapore International Mathematical Olympiad. Training Problems. 15 February 2003. 1. Let n be an odd integer which is not a multiple of 5. ...
sms.math.nus.edu.sg/Simo/training2003/training15_02_2003.pdf
35. [PDF]

Singapore International Mathematical Olympiad Training Problems

- 4:33pm
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Singapore International Mathematical Olympiad. Training Problems. 8 February 2003. 1. Determine whether there exist an integer polynomial f(x) together with ...
sms.math.nus.edu.sg/Simo/training2003/training08_02_2003.pdf
36. [PDF]

- 4:33pm
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Thursday, July 16, 2009. Problem 4. Let ABC be a triangle with AB = AC. The angle bisectors of CAB and ABC meet the sides BC and CA at D and E, respectively ...
sms.math.nus.edu.sg/Simo/IMO_Participation/imo50/Day2.pdf
37. [PDF]

Language: English Day: 2 51st INTERNATIONAL MATHEMATICAL OLYMPIAD ...

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Language: English. Day: 2. 51st INTERNATIONAL MATHEMATICAL OLYMPIAD. ASTANA (KAZAKHSTAN), JULY 2-14, 2010. Thursday, July 8, 2010. Problem 4. ...
sms.math.nus.edu.sg/Simo/IMO_Participation/imo51/Day_2.pdf
38. [PDF]

Language: English Day: 1 51st INTERNATIONAL MATHEMATICAL OLYMPIAD ...

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Language: English. Day: 1. 51st INTERNATIONAL MATHEMATICAL OLYMPIAD. ASTANA (KAZAKHSTAN), JULY 2-14, 2010. Wednesday, July 7, 2010. Problem 1. ...
sms.math.nus.edu.sg/Simo/IMO_Participation/imo51/Day_1.pdf
39. [PDF]

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Thursday, July 17, 2008. Problem 4. Find all functions f : (0, ∞) → (0, ∞) (so, f is a function from the positive real ...
sms.math.nus.edu.sg/Simo/IMO_Participation/imo49/Day2.pdf
40. [PDF]

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Wednesday, July 16, 2008. Problem 1. An acute-angled triangle ABC has orthocentre H. The circle passing through H with centre the midpoint of BC intersects ...
sms.math.nus.edu.sg/Simo/IMO_Participation/imo49/Day1.pdf
41. [PDF]

- 4:33pm
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Wednesday, July 15, 2009. Problem 1. Let n be a positive integer and let a1,...,ak (k ≥ 2) be distinct integers in the set ...
sms.math.nus.edu.sg/Simo/IMO_Participation/imo50/Day1.pdf
42. [PDF]

International Competitions IMO 2007

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Ha Noi, Vietnam. Day 1 - 25 July 2007. 1 Real numbers a1, a2, :::, an are given. For each i, (1 i n), define di = maxfaj j 1 ...
sms.math.nus.edu.sg/SIMO/IMO_Participation/imo48/day1.pdf
43. [PDF]

Singapore International Mathematical Olympiad Junior Group Test

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Singapore International Mathematical Olympiad Junior. Group Test. Take Home Test - Number Theory. 13-8-2005. 1. Suppose a, b are integers satisfying 24a2 +1 ...
sms.math.nus.edu.sg/Simo/Junior_test2005.pdf
44. [PDF]

Singapore International Mathematical Olympiad National Team ...

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Singapore International Mathematical Olympiad. National Team Selection Test I 2008. Time allowed: 4.5 hours. 26 April 2008. No calculator is allowed ...
sms.math.nus.edu.sg/simo/selection_test_2008.pdf
45. Singapore International Mathematical Olympiad Committee (SIMO ...

Singapore International Mathematical. Olympiad Committee (SIMO). Annual Training Camp. Programme for. Senior Group. 8 – 13 June 2007 ...
sms.math.nus.edu.sg/simo/smocamp_2007.pdf
46. [PDF]

Graph Theory Problems/Solns

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Graph Theory Problems/Solns. 1. There are n participants in a meeting. Among any group of 4 participants, there is one who knows the other three members of ...
sms.math.nus.edu.sg/simo/training2003/smograph.pdf
47. [PDF]

Singapore International Mathematical Olympiad 2008 Senior Team ...

- 4:25pm
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Singapore International Mathematical Olympiad 2008. Senior Team Training. Take Home Test Solutions. 1. Show that the equation 15x2 − 7y2 = 9 has no ...
sms.math.nus.edu.sg/simo/2008/2008SeniorTestSoln.pdf
48. [PDF]

Singapore International Mathematical Olympiad 2005 Senior Team ...

- 4:25pm
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Singapore International Mathematical Olympiad 2005. Senior Team Training. Take Home Test Solutions. 1. Determine which of the numbers. 20011111 + 1 ...
sms.math.nus.edu.sg/simo/training2005/2005-th.pdf
49. [PDF]

Singapore International Mathematical Olympiad 2008 Senior Team ...

- 4:25pm
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Singapore International Mathematical Olympiad 2008. Senior Team Training. Take Home Test. Submit written solutions by 12 April 2008. ...
sms.math.nus.edu.sg/SIMO/2008/2008SeniorTest.pdf