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Favourite Exam Questions and TopicsBelow you will find 27 Favourite Topics that seem to appear regularly. In each table you can see exactly which Year, what Paper and what Question number where that topic appeared. So, for example, you can follow through the Question links to every question on Pythagoras asked since 1999. NOTE: this page has been optimised to display in Firefox or Internet Explorer 7. If it does not display properly on your computer click here to open a PDF version of the page. Questions involving Pythagoras
Questions involving Dimensions of Expressions
Questions involving Trial & Improvement
Questions
involving Vectors
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HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Question 13 | Question 17 | none | none |
2005 |
none | Question 22 | none | none |
2004 |
none | Question 17 | none | none |
2003 |
none | Question 23 | none | none |
2002 |
none | Question 16 | none | none |
2001 |
none | Question 16 | none | none |
2000 |
none | Question 20 | none | none |
1999 |
none | Question 13 | none | none |
Comment: Another topic which has been asked every year since 1999
in the Higher non-calculator papers - a MUST for revision!
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Question 10 | Question 24 | Question 22 | Question 10 |
2005 |
Question 20 | Questions 3 & 20 | none | Questions 1 & 14 |
2004 |
none | Questions 12 & 20 | none | Question 10 |
2003 |
Question 20 | Questions 6 , 21 & 24 | none | Questions 7 & 19 |
2002 |
none | Questions 7 & 17 | none | Questions 1, 7 & 20 |
2001 |
Question 20 | Question 15 | Question 11 | none |
2000 |
none | Question 6 | none | Question 22 |
1999 |
none | Question 12 | none | Question 2 |
Comment: Another extremely popular question. But dont forget Transformations can mean transformations of graphs,enlargements, reflections, rotations, stretches etc. As you can see there has been a question on this topic every year since 1999. In the Higher tier in 2003 there were 4 Questions involving transformations in some form oranother! Another MUST for revision.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Questions 6, & 20 | Questions 10, 18, 22 & 23 | Questions 2, 4, 18 & 27 | Questions 8, 12 & 22 |
2005 |
Questions 1, 6, 12 & 18 | Questions 1, 4 & 21 | Questions 4, 9 & 21 | Questions 3, 6, 11 & 15 |
2004 |
Question 21 | Questions 7 & 19 | Question 14 | Questions 2, 11, 13 & 22 |
2003 |
Questions 15 & 18 | Questions 11 & 20 | Questions 5 & 6 | Questions 1, 8, 11 & 27 |
2002 |
Question 20 | Questions 6 & 12 | Question 12 | Questions 6 & 11 |
2001 |
Question 11 | Questions 8, 14 & 20 | Questions 5 & 22 | Questions 5 & 22 |
2000 |
Questions 5 ,12 & 17 | Question 5 | Questions 3 & 20 | Questions 3 & 24 |
1999 |
Questions 4 , 8 & 14 | Question 5 | Questions 13 & 17 | Question 5 |
Comment:As you can see Algebra is examined every year without fail. This is essential revision.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Questions 12 & 23 | none | Question 23 | none |
2005 |
Questions 10 & 19 | none | Question 25 | none |
2004 |
Questions 9 & 18 | none | Question 20 | none |
2003 |
Questions 10 & 14 | none | Question 21 | none |
2002 |
Question 12 | none | Question 22 | none |
2001 |
Question 10 | none | none | none |
2000 |
Question 9 | none | Question 22 | none |
1999 |
Question 5 | none | Question 16 | none |
Comment: In the Higher calculator Paper 6, Trigonometry has come up every year since 1999. These are the sameharder questions that you find near the end of Intermediate Paper 4.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
none | Question 9 | none | Question 21 |
2005 |
Question 9 | none | Question 24 | none |
2004 |
Question 5 | none | Question 16 | none |
2003 |
Question 9 | Question 10 | Question 20 | Question 23 |
2002 |
Question 11 | none | Question 21 | none |
2001 |
Question 8 | Question 6 | Question 19 | Question 21 |
2000 |
none | Question 2 | none | Question 21 |
1999 |
none | none | none | Question 17 |
Comment:This is a favourite of both papers and has come up every year since 1999.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
none | Question 15 | none | Question 27 |
2005 |
none | Question 14 | none | Question 26 |
2004 |
Question 17 | Question 16 | none | Question 25 |
2003 |
none | Question 12 | none | Question 25 |
2002 |
none | Question 13 | none | none |
2001 |
none | Question 17 | none | none |
2000 |
none | Question 17 | none | none |
1999 |
Question 15 | none | none | Question 9 |
Comment: Another favourite. In the Higher papers it has been examined at least once every year since 1999.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
none | Question 19 | none | none |
2005 |
none | none | none | none |
2004 |
none | Question 14 | none | none |
2003 |
none | Question 19 | none | none |
2002 |
Question 17 | none | none | none |
2001 |
none | Question 12 | none | none |
2000 |
Question 11 | none | none | none |
1999 |
none | Question 16 | none | none |
Comment: A favourite only of the Higher Papers - with the exception of 2005, there has beenone Histogram question every year since 1990.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Question 18 | Question 5 | Question 24 | Question 15 |
2005 |
Question 16 | Questions 9 & 13 | Question 10 | Questions 2, 21 & 23 |
2004 |
Question 14 | Question 3 | Question 23 | Question 16 |
2003 |
Questions 11 & 19 | Question 22 | Question 22 | none |
2002 |
Questions 9 & 20 | Question 8 | Question 19 | Question 10 |
2001 |
Question 21 | Question 11 | Question 1 | Questions 4, 7& 25 |
2000 |
Question 7 | Questions 7 & 13 | Question 18 | Questions 17 & 25 |
1999 |
Question 7 | Question 6 | Questions 7 & 18 | Questions 6 & 13 |
Comment: An extremely popular topic with at least one question in both calculator and non-calculator papers. A real MUST for revision.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Question 5 | Question 13 | Questions 5 & 17 | Questions 3 & 23 |
2005 |
Questions 2, 7 & 14 | none | Questions 14, 18 & 22 | Question 5 |
2004 |
Question 12 | none | Question 24 | Question 5 |
2003 |
none | Question 2 | none | Question 15 |
2002 |
none | none | Questions 7 & 16 | Question 8 |
2001 |
Questions 3 & 4 | none | Questions 8 & 14 | Questions 2 & 14 |
2000 |
Question 8 | none | Questions 7 & 19 | Question 11 |
1999 |
Question 3 | Question 9 | Questions 3 & 5 | Questions 1, 4 & 17 |
Comment: As you can see Percentagequestions are everywhere in the Intermediate papers. They are also quite popular in the Higher papers too. Essential revision.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Question 11 | none | Question 27 | none |
2005 |
Question 8 | none | Question 23 | none |
2004 |
Question10 | none | Question 21 | none |
2003 |
Question 7 | none | Question 18 | none |
2002 |
Question 8 | none | Question 17 | none |
2001 |
Question 9 | none | Question 20 | none |
2000 |
none | none | none | none |
1999 |
none | Question 7 | none | Question 14 |
Comment: Every year since 2001 there has been a question on Simultaneous Equations - so they are another favourite.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Question 22 | none | Questions 2 & 10 | Questions 4 & 8 |
2005 |
Questions 4 & 13 | Question 7 | Questions 9, 12 & 19 | Questions 5 & 19 |
2004 |
Question 16 | Question 9 | none | Questions 1 & 21 |
2003 |
Questions 5, 13 & 14 | none | Questions 8, 9 & 16 | none |
2002 |
Question 5 | none | Questions 6 & 15 | Question 9 |
2001 |
Questions 1 & 15 | none | Questions 9 & 12 | Question 11 |
2000 |
none | none | Questions 1 & 5 | none |
1999 |
Question 2 & 9 | Question 11 | Questions 9 & 13 | Question 16 |
Comment: A very popular topic as you can see. In 2003 there were even three questions concerning Area and/or Perimeter. The questions can mix in a bit of Algebra, Trigonometry, or Circle properties, especially in the Higher Papers.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Question 21 | Questions 1 & 10 | Question 13 | Questions 12, 13 & 22 |
2005 |
Questions 12 & 15 | Question 4 | Question 9 | Question 16 |
2004 |
Question 19 | none | Question 13 | none |
2003 |
none | Question 3 | none | Question 16 |
2002 |
Question 3 | none | none | none |
2001 |
Questions 2 & 11 | Question 19 | Question 13 | none |
2000 |
none | none | none | Question 13 |
1999 |
none | Question 2 | none | Question 8 |
Comment: In some form or another being able to Solve an Equation is at the very heart of mathematics - and the examiners are very keen to test you on this. As you can see, since 2001 there has been a question on the Higher Paper each year. You have to know how to solve equations.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
none | Question 3 | none | Question 14 |
2005 |
none | none | none | none |
2004 |
Question 8 | Question 6 | Question 19 | Question 19 |
2003 |
Questions 1 & 12 | none | Question 12 | none |
2002 |
Question 22 | none | none | none |
2001 |
none | Question 9 | none | Questions 8 |
2000 |
Questions 4 & 10 | none | Question 17 & 21 | none |
1999 |
Question 9 | Question 15 | none | none |
Comment: Another very popular topic because it can test so much. For example, can you find the volumes of a cube? a cuboid? a prism? a pyramid? a sphere? a hemisphere? a cone? a cone with a hemisphere stuck to the base? And do you know how to recognise the dimensions of a volume?
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Question 17 | Question 12 | none | Question 26 |
2005 |
none | Question 12 | none | Question 25 |
2004 |
none | Question 10 | Question 3 | Question 24 |
2003 |
Question 6 | none | Question 17 | none |
2002 |
Question 10 | none | Question 20 | none |
2001 |
Question 19 | none | none | none |
2000 |
none | none | none | none |
1999 |
none | none | Question 8 | none |
Comment:In the Higher papers there has been one question on this topic every year since 2001. Its a very important topic because of the overlap with science. Many experiments in science produce straight line graphs and scientists need to understand how to find the equations from the lines. So it is regularly tested.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Question 16 | Question 14 | Question 28 | Question 25 |
2005 |
Question 5 | none | Question 20 | none |
2004 |
none | Question 13 | none | Question 23 |
2003 |
none | none | none | none |
2002 |
none | Question 10 | none | Question 18 |
2001 |
none | none | Question 18 | none |
2000 |
none | Question 14 | none | Question 29 |
1999 |
none | Question 10 | none | Question 18 |
Comment: As you can see, in the Higher Papers Cumulative Frequencyhas come up 6 times in eight years, whereas in the Intermediate Papers it has come 7 times in the past eight years. Its quite a favourite because it can test how strong your understanding of statistics really is.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
none | none | Question 6 | none |
2005 |
none | none | none | none |
2004 |
Question 7 | none | Question 18 | none |
2003 |
none | Question 5 | Question 7 | Question 2 |
2002 |
none | none | none | Question 2 |
2001 |
none | Question 13 | none | none |
2000 |
none | Questions 8 & 15 | Question 6 | Questions 1 & 15 |
1999 |
Question 16 | none | none | none |
Comment: Intermediate paper - 8 Questionsin 7 years. Higher Paper - 6 Questionsin 6 years. A must for revision.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Questions 2 & 14 | none | Questions 5 & 20 | Questions 3, 5 & 7 |
2005 |
none | Question 5 | none | Question 18 |
2004 |
none | none | Questions 7 & 10 | Question 6 |
2003 |
none | none | Question 4 | Questions 3, 5 & 9 |
2002 |
none | none | none | none |
2001 |
none | none | Question 8 | Question 12 |
2000 |
none | none | Question 15 | Questions 2 & 12 |
1999 |
none | Question 1 | Questions 3 & 11 | Questions 4 & 10 |
Comment: A real favourite of the Intermediate Papers as you can see, with 22 Questions in the past 8 years. A good understanding of Fractions & Ratio is assumed at the Higher level.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
none | none | Question 11 | none |
2005 |
none | none | none | Question 8 |
2004 |
none | none | Question 9 | none |
2003 |
none | none | none | none |
2002 |
none | none | Question 11 | none |
2001 |
none | Question 1 | none | Question 15 |
2000 |
Question 3 | none | Question 11 | Question 6 |
1999 |
Question 1 | none | Question 12 | none |
Comment: More popular in the Intermediate papers with 8 questions in the past 8 years.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Question 21 | Questions 1 & 2 | none | Questions 13, 16 & 22 |
2005 |
Question 15 | none | none | none |
2004 |
Question 17 | none | none | none |
2003 |
Questions 18 & 13 | none | none | none |
2002 |
Question 13 | none | none | none |
2001 |
Question 11 | none | none | none |
2000 |
none | none | none | none |
1999 |
Question 14 | none | none | none |
Comment: This is an absolute must for Higher candidates. Being able to recognise and, more especially, to solve a Quadraticequation is a fundamental skill at GCSE.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
none | Question 11 | none | Question 24 |
2005 |
Question 11 | Question 18 | Question 26 | none |
2004 |
Question 11 | none | Question 22 | none |
2003 |
Question 8 | none | Question 19 | none |
2002 |
none | none | none | none |
2001 |
Question 12 | none | Question 23 | none |
2000 |
none | Question 10 | none | Question 28 |
1999 |
none | Questions 11 & 15 | none | Question 16 |
Comment: A popular question on both Higher & Intermediate papers, with almost one question each year.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Question 4 | Question 1 | Question 16 | Question 13 |
2005 |
none | Question 11 | none | Question 24 |
2004 |
none | Question 4 | none | Question 17 |
2003 |
Question 2 | none | Question 13 | none |
2002 |
none | none | none | none |
2001 |
none | none | none | none |
2000 |
none | none | none | none |
1999 |
Question 16 | none | none | none |
Comment: Often these Questions are connected to finding the HCF and the LCM , and for the last four years there has been something concerning Prime Numbers
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
none | none | none | none |
2005 |
none | none | none | none |
2004 |
none | none | Question 6 | none |
2003 |
none | none | none | none |
2002 |
none | none | none | Question 7 |
2001 |
none | none | none | Question 3 |
2000 |
none | none | none | Question 5 |
1999 |
none | none | none | none |
Comment: Often a favourite in the Intermediate papers.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
none | none | none | none |
2005 |
Question 19 | none | none | none |
2004 |
Question 16 | none | none | none |
2003 |
none | none | none | none |
2002 |
Question 18 | none | none | none |
2001 |
Question 14 | none | none | none |
2000 |
Question 16 | none | none | none |
1999 |
Question 13 | none | none | none |
Comment: These are asked only in the Higher calculator papers, but apart from 2003 and 2006 they have appeared every year since.
HIGHER |
INTERMEDIATE |
|||
Year |
Paper 6 (calculator) |
Paper 5 (non-calculator) |
Paper 4 (calculator) |
Paper 3 (non-calculator) |
2006 |
Question 19 | none | none | Question 17 |
2005 |
Question 17 | none | none | none |
2004 |
Question 20 | none | none | none |
2003 |
Question 16 | none | none | none |
2002 |
Question19 | none | none | none |
2001 |
Question 17 | none | none | none |
2000 |
none | Question 3 | none | Question 19 |
1999 |
none | none | Question 19 | none |
Comment: Another regular topic - it has appeared in the Higher papers every year since 2000.
