Download Intermediate 2 - Rosshall Academy

Intermediate 2
Key Topics for Revision
IMPORTANT!!
These topics are not the only thing you should
study but should be used as a guide of what is
asked regularly by the SQA.
Paper 1 (45 mins)
1.
Straight Line

y  mx  c
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m
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Rearranging the equation of a line to look like
y 2  y1
x2  x
y  mx  c , in order
to pick out the gradient and the y-intercept.
2.
Algebra
(2 x  4)( x  3)  4 x

Multiplying out brackets and simplifying e.g.
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Factorising
 Look for common factor
 Look for a difference of two squares
 Factorise any trinomial (into 2 brackets)
Simplify algebraic fractions
- Factorise and cancel brackets
- Add or subtract algebraic fractions with different
denominators – find LCM
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3.
Statistics
 Dot plots
 Box plots (L, Q1, Q2, Q3, H)
Be able to calculate interquartile range and make a valid comparison
between two sets of data ( Q3  Q1 )
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Be able to calculate semi-interquartile range and make a valid
Q  Q1
comparison between two sets of data 3
2
Cumulative Frequency tables – you should know how to construct
one and be able to use this to find Q1, Q2 and Q3.
Stem and leaf diagrams – you should know how to read and draw
these. Remember you get a mark for your key and n = ….. You
should also be able to use this to find Q1, Q2 and Q3.

Standard deviation
– easy numbers can be asked in paper 1. You might also be
asked to comment on the standard deviation when the
original data has increased. Remember IF EACH NUMBER
HAS INCREASED BY THE SAME AMOUNT THE
STANDARD DEVIATION DOES NOT CHANGE!!
4.
Trigonometry – you can be asked to calculate the area of a triangle
1
using A  ab sin C .
2
You will be given a value for sin C (usually a fraction) – you must
remember to take out the whole of “sin C” and put in the fraction.
You cannot work out sine without a calculator.
5.
Circles – Similar to the questions you would have seen at general
level. Use symmetry, radii, tangents, right-angled triangles to
calculate a missing angle. You might need Pythagoras.
6.
Surds – you must know how to use the rules
ab = a  b
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7.
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8.
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a
b

a
b
To rationalise the denominator – get rid of the square root sign!!
Indices – you must know how to use the rules
am x an = am+n
am ÷ an = am-n
1
= a-n
n
a
a0 = 1
(am)n = amn
n
m
a  m an
Quadratic functions – parabola!!
Given the equation of the graph you should be able to state the
coordinates of the maximum (n-shape) or minimum (u shape) turning
point – x coordinate comes from bracket but remember to change
the sign, y coordinate is other number.
Axis of symmetry is just the x coordinate of the turning point –
remember to write x = …..
Given one point use the axis of symmetry to get another point –
just count boxes!!

Finding the roots of the equation means factorise into 2 brackets
then make each bracket equal to zero and obtain to values for x.
The roots are simply where the graph crosses the x-axis.
9. Trigonometry graphs – it is unlikely you will be asked to draw one of
these but not impossible!! Usually (– not always!) only sine or cosine
are asked.
 If you are asked to draw or find the equation of a trig graph the
key points are the same.
a - the value before sin or cos tells you if the graph is stretched
b - the value before the x tells you how many complete waves will
fit into 360o.