Overview of the Credit Course  
What should I not do ? Do not just read through your Maths text book or the
Credit Revision Notes.
If you do, you
will just convince How should I revise ? With paper and pencil. By
all means look at the text book, or the Credit Revision Note. You should
read the relevant sections and then Practice
using Past Papers  When you have finished them  do them again. If
you are not sure how to do a question, look at the solution. Copy
it out carefully, trying to
understand the 

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What topics should I concentrate on ? Whilst
it is not advisable to try to second guess the SQA as regards what
questions are likely to
be on this The
topics towards the end of the list are generally more
difficult, but in many cases this is where the bulk of Topics near the beginning of the list are the easier KU questions, which you should already be confident with. This
list shows all the topics that have come up previously, and whilst
every topic will obviously not come up this For
pupils who find the work difficult, start at the top and make
sure you are comfortable with each topic as To
achieve a good grade at credit level,
you should be able to cope with most of the topics below. If
you Good Luck ! 

1. Decimals, Fractions, Percentages: 

Decimal Calculations 
BODMAS 

Fractions  Adding and subtracting 

Percentages  Find percentage of a quantity without a calculator. Find percentage of a quantity using a calculator. Using percentage multipliers for increasing and decreasing a value. Calculating appreciation and depreciation. 

Reversing the change 
Finding
the price without VAT. p x 1.175 = price with VAT Finding an original
price when you know
how much it has reduced in value. Finding an original
price when you know
how much it has increased in value. 

Standard Form 
Calculations involving standard form  usually multiplying or dividing. Calculations may involve distance, speed or time. Calculations can also involve circumference of circles


2. Algebra  
Evaluation
of an expression 
Substituting given values into an expression and evaluating it. e.g. if u = 5, v = 3 and w = 1, evaluate [ Ans. 16 ] 

Simplify expressions with brackets 
Multiply out any brackets and group like terms. e.g. Simplify: [Ans. 26x  20 ] 

Difference of 2 squares 
Recognise difference of two squares and be able to factorise with multipliers with common factor 

Common factors 
Factorising using common factors. e.g. factorise factorise 

Factorisation of a trinomial (quadratic) 
Putting a trinomial (quadratic expression) into two brackets e.g. factorise factorise 

Solve linear equations 
Solving simple linear equations with one unknown. e.g. 2(x + 3)  5 = 3(1  2x) [ Ans. x = 1/4 ] 

Functions  Evaluating functions e.g. Given evaluate f(2) Evaluating by using the function in reverse e.g. Given Find a 

Solve quadratic equations 
Factorise using a common
factor Factorise a trinomial
 into two brackets Use
the formula 

Solving inequalities 
Treat these exactly the same as equations, but use the inequality signs. If you multiply or divide by a negative number, you MUST change the e.g. Solve e.g. Solve 

Changing
the subject of the formula 
These formulae may involve brackets, fractions, roots and powers.
Example: If change the subject of the formula to V


Algebraic Fractions 
Find
a common denominator Example:


Algebraic Fraction Equations 
Find
a common denominator Example: Solve Common denominator is 6, so multiply throughout by 6 (or cross multiply) 

Simultaneous Equations 
Multiply one or both equations by a suitable number to make one of the Add or subtract the equations to reduce to a simple equation with one Solve this equation. Substitute into either of the original equations to find the other unknown. 

Indices  This will be added later when it is dealt with in the course  
Surds  This will be added later when it is dealt with in the course  
Algebra is a very important section  make sure you are confident on it.  
3. Data Handling  
Simple Probability 
Everyday situations. Common sense approach
will work
with these questions. 

Probability from Relative Frequency 
Using a table of data Description often
involves AND / OR 

Boxplots,
Pie Charts 
These are a new addition to the SQA syllabus only appearing from 2001. Any or all of these are likely to come up. Again, mainly a
common sense approach
providing you know your quartiles, 

Standard Deviation 
Make
sure you know how to draw up the table. However, both formulae will be given on your formula sheet.
Watch your arithmetic, when you have finished, check it again. You m ay be asked to make comparison with other data. 

Comparisons  When
asked to compare two distributions, the examiner is looking for How spread out are the two data sets. 

4. Area and Volume  
Cylinder  A cylinder is a circular prism Volume of a cylinder Curved surface area of a cylinder 

Prisms  Volume = Area of cross section x length The cross section will often be a composite shape made up of: Rectangles, triangles, trapezium, semicircle 

Applications  Sometimes you are asked to work out the height (or length) of a prism from Often this may be related to a cylinder and a cuboid having the same volume. 

5. Similar Shapes and Similar Triangles  
Using Area and Volume scale factors 
Area scale factor = linear scale factor squared. Volume scale factor = linear scale factor cubed. Make sure you get the scale factor the right way round. Enlargement > 1 Reduction < 1 The final size goes on the top of the fraction. 

Finding Buildings Roads 
Ratios of corresponding sides are equal. Put the side you are trying to find on TOP of the fraction. Parallel lines in triangles Finding part of a side where you need to find the whole side first 

Example: Triangles ADE and ABC are similar. Find DE.


Example: Triangles ADE and ABC are similar. Find DB. Thus: DB = AB  5 = 4 

Example: Triangles ADE and ABC are similar. Find AD. Let AD = x
So AD = 3 

6. Pythagoras in the circle  
Milk and Oil Bridges 
Look for the right angled triangle. Chords, symmetry, isosceles triangles Look for lengths equal to the radius. Draw your triangle and fill in lengths of sides. Form an expression for Pythagoras. 

7. The Circle  
Length of Area of Perimeters of 
Angle
Properties of the circle Finding fractions of a circle 360° degrees in a circle Proportion of circumference or area 

8. Trigonometry SOHCAHTOA  
Right angled Trees 
Finding sides and angles Often need to find another side or angle,
before you can complete 

9. Trigonometry NonRight angled triangles  
Ships and Heights of Aeroplanes Balloons Areas of fields 
Sine Rule  
Cosine Rule  
Area of a triangle  Area =  
Sometimes
need to find the height of
an aeroplane, satellite, balloon. In some cases you have to find another side or
angle
before you can find Could be given the area of a triangle and you need to find the angle. 

10. Simultaneous Equations  
Tiles Tickets Hotels 
Form two equations to model a situation. Solve them simultaneously, by elimination Sometimes use your solution in a final part of the question 

11. Ratio & Proportion  
Ratios of: People Ingredients 
Use proportion to answer a question May be a ratio between 2 or 3 quantities. 

12. Variation & Proportion  
Direct often science 
Using a proportionality statement to make an equation. Finding the constant. Using the equation to calculate a quantity. OR Using a proportionality statement to make an equation. Halving or doubling variables
to deduce what happens to the
subject of the Joint Variation  proportionality with more than one variable. 

13. Gradients and Straight Line Modelling  
Finding Finding Interpretation 
Using gradient = Rise over Run or gradient formula. Using y = mx +
c Finding where line cuts the axes (when x = 0, or y = 0) A point which lies on a line, satisfies the equation of the line. Using line of best fit to predict a mark or value 

14. Making and using formulae  
Reading Deducing a 
Making formula to model a situation. Using a formula. Having to change the subject. Solving equations  quadratic or linear 

15. Functions and the Parabola  
Properties of Using the 
Finding where the parabola
crosses
the x and y axes. Finding the roots of the equation. Maximum and minimum points. A point which lies on a curve, satisfies the equation of the curve. Making a model with a quadratic equation (parabola) Solving the equation and interpreting the solution. Negative coefficient of Positive coefficient of


16. Trigonometry  Graphs and Equations  
Graphs of
Solving Trig 
Finding constants a and b in y = a sin bx + c and y = a cos bx + c Maximum and minimum of a trigonometric function and Applications Solving simple Trig equations 

17. Sequences  
Sequences of: Squares Odd numbers 
Writing down terms in the sequence Writig down the sum of a number of terms Forming an expression for the nth term Forming the expression for a sum Proving an expression is always odd/even etc. 

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