Booster C homepage - revision to help you get a good GCSE grade


Below is a contents list to the Booster C book. You can use it as a revision list. Eventually we would hope to link the objectives to examples and demonstrations.
You may wish to download and print a checklist for learners:

Page +
Exercise
Questions linked to Learning Objective/Topics
(approximate GCSE grade in brackets)
p9
Ex 1.1
Collecting data
Q1 - 4 £
Q5 - 7 £
(D) questionnaires
(C) sampling
p11
Ex 1.2
Interpreting data
Q1 - 2 £
Q3 - 4 £
(E) pie charts
(C) frequency polygons
p13
Ex 1.3a
Averages and range (1)
Q1 - 2 £
Q3 - 4 £
Q5 £
(E) simple mean, median, mode and range
(D) comparisons using averages and range
(C) averages from frequency tables
p15
Ex 1.3b
Averages and range (2)
Q1 - 2 £
Q3 - 4 £
(D) stem and leaf diagrams
(D) finding averages from stem and leaf
p16-17
Ex 1.3c
Averages and range (3)
Q1 - 3 £
Q4 £
(D) advantages/disadvantages of averages
(D) estimated mean from frequency tables

p19
Ex 1.4
Scatter graphs
Q1 - 2 £
(C) scatter graphs
p21
Ex 1.5
Probability
Q1 £
Q2 £
Q3 - 4 £
Q5 £
Q6 £
(E) probability of equally likely events
(E) probability scale
(E) probability of event E not happening
(D) simple combined events
(C) probability tables and expected outcomes
p23
Ex 2.6
Number (whole number arithmetic)
Q1 - 2 £
Q3 - 4 £
Q5 - 6 £
Q7 £
(F) simple arithmetic with negative numbers
(F) multiplying whole numbers
(F) dividing whole numbers
(F) problem-solving with whole number arithmetic
p25
Ex 2.7
More number (properties of numbers)
Q1 - 2 £
Q3 - 4 £
Q5a £
Q5b - 7 £
Q8 - 9 £
(F) squares, cubes, multiples, factors, primes
(E) factors and factor trees
(C) prime factor form
(C) LCM and HCF
(C) word problems involving LCM or HCF

p27
Ex 2.8
Decimals and rounding
Q1 - 3 £
Q4 - 5 £
Q6 £
Q7 - 9 £
Q10a-f £
(E) multiplying with decimals
(E-D) dividing with decimals
(D) worded ratio problem with decimals
(D) using known facts to find new ones
(D) estimation
p29
Ex 2.9a
Fractions (1)
Q1 - 2 £
Q3 - 4 £
Q5 - 6 £
Q7 - 10 £
(D) addition and subtraction of fractions
(D) worded problems needing + and – of fractions
(C) addition and subtraction of mixed numbers
(C) worded problems + and – of mixed numbers
p31
Ex 2.9b
Fractions (2)
Q1 - 2 £
Q3 - 5 £
Q6a – i £
Q7 - 10 £
(D) multiplication and division of fractions
(D) worded problems needing × and ÷ of fractions
(C) multiplication and division of mixed numbers
(C) worded problems × and ÷ of mixed numbers
p33
Ex 2.10
Percentages
Q1 - 6 £
Q7 - 8 £
Q9 - 11 £
Q12 £
(E) one number as a percentage of another
(E) percentage of an amount
(E) worded percentage of an amount problems
(D) worded percentage of time problem

p35
Ex 2.11
Ratio and proportion
Q1 - 3 £
Q4 - 6 £
Q7 - 8 £
Q9 £
(D) maps and scales
(D) dividing an amount in a given ratio
(D) simple exchange rate problems
(C) harder exchange rate
p37
Ex 2.12
Expressions and factorising
Q1 - 2 £
Q3a – j £
Q4 - 5 £
Q6a – i £
Q7a – i £
Q8a – f £
Q9a – l £
(E) writing relationships in algebra
(E) simplify by collecting like terms
(D) more writing relationships in algebra
(D) expand a single number over a bracket
(C) expand algebraic term over a bracket
(C) expand and simplify a single bracket
(C) factorise two terms to single bracket
p39
Ex 2.13
Index notation, BIDMAS, factorising
Q1a - i £
Q2a-d £
Q3 £
Q4 - 5 £
Q6 £
Q7 – 8 £
Q9 £
(F) simple BIDMAS
(E) problems involving BIDMAS
(D) substitution problems involving BIDMAS
(C) × and ÷ with indices
(C) simplify with indices and coefficients
(C) expand with indices and expand & simplify
(C) factorise with algebraic term outside

p41
Ex 2.14
Sequences
Q1 £
Q2 £
Q3-4 £
(F) linear sequence from pictures; predictions
(C) linear sequence from pictures; formula
(C) linear sequence nth term and use of nth term
p43
Ex 2.15a
Straight line graphs (1)
Q1 £
Q2 - 3 £
Q4 - 7 £
(D) complete the table and draw the graph
(C) draw linear graph (make your own table?)
(C) draw linear graph and use it to solve
p45
Ex 2.15b
Straight line graphs (2)
Q1a-d £
Q2a-d £
(C) gradient from picture of linear graph
(C) gradient and intercept of linear graph
p47
Ex 2.16
Real-life graphs
Q1 - 3 £
Q4 £
(D) interpret real-life graphs
(C) draw distance-time graphs
p49
Ex 2.17
Formulae
Q1 £
Q2 - 3 £
Q4 £

Q5 - 6 £
Q7 - 8 £
Q9 £
(F) use a simple familiar word formula
(E) write and evaluate word formulae
(E) evaluate simple algebraic formulae for positive whole-number values
(D) evaluate algebraic formulae for integers
(D) evaluate algebraic formulae in context
(C) evaluate algebraic 3D Pythagoras’ Theorem

p51
Ex 2.18a
Angles and triangles (1)
Q1a-f £
Q2 - 4 £
Q5 £
(F) naming angles conventions
(E) accurate drawing of angles
(D) construct triangle given ASA or SAS
p53
Ex 2.18b
Angles and triangles (2)
Q1 - 2 £
Q3 - 5 £
(F) angles at a point; angles on a line
(E) angles in triangles; isosceles property
p55
Ex 2.19
Angles and quadrilaterals
Q1a-f £
Q2a-m £
(D) interior angle sum of quadrilateral
(D) angles in systems of parallel lines
p57
Ex 2.20
Symmetry
Q1 - 3 £
Q4 - 5 £
(F) simple line and rotational symmetry
(D) puzzles with rotational symmetry
p59
Ex 2.21
Measure
Q1 - 3 £
Q4 - 5 £
Q6 £
Q7 - 9 £
Q10 £
(G) everyday metric and Imperial conversions
(F) harder Imperial to metric conversions
(E) comparison of prices involving conversions
(D) speed, distance, time calculations
(C) mileage tables and speed problems

p61
Ex 2.22a
Perimeter and area (1)
Q1a-f £
Q2 - 3 £
(D) perimeter & area of triangles and quadrilaterals
(D) perimeter & area of composite shapes
p63
Ex 2.22b
Perimeter and area (2)
Q1 - 3 £
Q4 £
(D) problems involving area of composite shapes
(C) find lengths given area facts
p65
Ex 2.23
Three dimensional shapes
Q1 £
Q2 £
Q3 – 4 £
Q5 £
(F) vertices, edges, faces
(E) surface area and volume of cubes and cuboids
(D) worded problems involving volume of cuboids
(C) volume of a (triangular) prism
p67
Ex 3.24
Using a calculator
Q1 - 4 £
Q5 £
Q6- 10 £
(E) simple evaluation on a calculator
(D) evaluating expressions involving fractions
(C) evaluating expressions with powers and roots
p69
Ex 3.25
More percentages
Q1 - 5 £
Q6 - 7 £
Q6 - 7 £
(E) percentage of amounts, % increase/decrease
(D) comparing prices involving percentages
(C) harder word problems involving percentages

p70
Ex 3.26a
Equations (1)
Q1a-h £
Q2a-h £
Q3a-h £
Q4a-d £
Q5a-j £
(D) linear equations variable on one side
(D) linear equations variable on both sides
(D) linear equations with brackets
(D) linear equations with negatives
(C) mixed linear equations including fractions
p73
Ex 3.26b
Equations (2)
Q1 - 3 £
Q4 - 5 £
(D) make and solve linear equations from shapes
(C) trial and improvement
p75
Ex 2.27
Inequalities
Q1 - 2 £
Q3 – 6 £
(C) inequalities on a number line
(C) solve linear inequalities
p77
Ex 3.28
Quadratic graphs
Q1a-d £
Q2 - 5 £
(C) tables of values for quadratic functions
(C) drawing and using quadratic graphs
p79
Ex 3.29
More formulae
Q1 - 2 £
Q3 - 4 £
Q5 - 6 £
Q7 - 8 £
(D) write and use formulae
(C) formulae in functional word problems
(C) harder word problems involving percentages
(C) rearranging simple formulae

p81
Ex 3.30a
More angles (1)
Q1- 3 £
Q4 - 6 £
Q7 - 8 £
(F-E) tessellation
(E-D) regular polygons and their angles
(C) problems with polygons and angles
p83
Ex 3.30b
More angles (2)
Q1 - 2 £
Q3 £
Q4 - 5 £
Q6 - 7 £
(F -E) accurate drawing of quadrilaterals
(E) bearings
(D) constructions of triangles
(D-C) word problems with bearings
p84-85
Ex 3.31
Circles
Q1a-c £
Q2 – 3 £
Q4 - 5 £
(D) finding the circumference
(C) working back from circumference to d or r
(C) area of circles problems
p87
Ex 3.32
More 3D shapes
Q1 - 3 £
Q4 - 5 £
Q6 £
(E) nets of prisms
(D) plans and elevations
(C) volume of prisms
p89
Ex 3.33
Constructions and loci
Q1 - 2 £
Q3 - 4 £
Q5 - 6 £
Q7 - 8 £
(D) angle bisector and perpendicular bisector
(C) more construction problems
(C) loci: lines and circles
(C) loci: shaded regions

p91
Ex 3.34a
Transformations (1)
Q1a-d £
Q2a-d £
Q3a-d £
Q3e-h £
(E) reflection in drawn lines
(D) translation through vector on grid
(C) rotation about a given point
(C) mixed transformations
p93
Ex 3.34b
Transformations (2)
Q1a-c £
Q2a-c £
Q3 £
(E) simple enlargements (scale factor 2 or 3)
(D) enlargements from a centre (s.f. still 2 or 3)
(D) describe enlargements
p95
Ex 3.35
Pythagoras’ Theorem
Q1a,d,f £
Q1b,c,e £
Q2 - 5 £
(C) finding the hypotenuse
(C) finding a shorter side
(C) word problems involving Pythagoras’ theorem