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:

(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

(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

(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

## 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 +ExerciseQuestions linked to Learning Objective/Topics(approximate GCSE grade in brackets)p9Ex 1.1Q5 - 7 £

(D) questionnaires(C) samplingp11Ex 1.2Q3 - 4 £

(E) pie charts(C) frequency polygonsp13Ex 1.3aQ3 - 4 £

Q5 £

(E) simple mean, median, mode and range(D) comparisons using averages and range(C) averages from frequency tablesp15Ex 1.3bQ3 - 4 £

(D) stem and leaf diagrams(D) finding averages from stem and leafp16-17Ex 1.3cQ4 £

(D) advantages/disadvantages of averages(D) estimated mean from frequency tablesp19Ex 1.4(C) scatter graphsp21Ex 1.5Q2 £

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 outcomesp23Ex 2.6Q3 - 4 £

Q5 - 6 £

Q7 £

(F) simple arithmetic with negative numbers(F) multiplying whole numbers(F) dividing whole numbers(F) problem-solving with whole number arithmeticp25Ex 2.7Q3 - 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 HCFp27Ex 2.8Q4 - 5 £

Q6 £

Q7 - 9 £

Q10

a-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) estimationp29Ex 2.9aQ3 - 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 numbersp31Ex 2.9bQ3 - 5 £

Q6

a – 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 numbersp33Ex 2.10Q7 - 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 problemp35Ex 2.11Q4 - 6 £

Q7 - 8 £

Q9 £

(D) maps and scales(D) dividing an amount in a given ratio(D) simple exchange rate problems(C) harder exchange ratep37Ex 2.12Q3

a – j£Q4 - 5 £

Q6

a – i£Q7

a – i£Q8

a – f£Q9

a – 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 bracketp39Ex 2.13a - i£Q2

a-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 outsidep41Ex 2.14Q2 £

Q3-4 £

(F) linear sequence from pictures; predictions(C) linear sequence from pictures; formula(C) linear sequence nth term and use of nth termp43Ex 2.15aQ2 - 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 solvep45Ex 2.15ba-d£Q2

a-d£(C) gradient from picture of linear graph(C) gradient and intercept of linear graphp47Ex 2.16Q4 £

(D) interpret real-life graphs(C) draw distance-time graphsp49Ex 2.17Q2 - 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’ Theoremp51Ex 2.18aa-f£Q2 - 4 £

Q5 £

(F) naming angles conventions(E) accurate drawing of angles(D) construct triangle given ASA or SASp53Ex 2.18bQ3 - 5 £

(F) angles at a point; angles on a line(E) angles in triangles; isosceles propertyp55Ex 2.19a-f£Q2

a-m£(D) interior angle sum of quadrilateral(D) angles in systems of parallel linesp57Ex 2.20Q4 - 5 £

(F) simple line and rotational symmetry(D) puzzles with rotational symmetryp59Ex 2.21Q4 - 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 problemsp61Ex 2.22aa-f£Q2 - 3 £

(D) perimeter & area of triangles and quadrilaterals(D) perimeter & area of composite shapesp63Ex 2.22bQ4 £

(D) problems involving area of composite shapes(C) find lengths given area factsp65Ex 2.23Q2 £

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) prismp67Ex 3.24Q5 £

Q6- 10 £

(E) simple evaluation on a calculator(D) evaluating expressions involving fractions(C) evaluating expressions with powers and rootsp69Ex 3.25Q6 - 7 £

Q6 - 7 £

(E) percentage of amounts, % increase/decrease(D) comparing prices involving percentages(C) harder word problems involving percentagesp70Ex 3.26aa-h£Q2

a-h£Q3

a-h£Q4

a-d£Q5

a-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 fractionsp73Ex 3.26bQ4 - 5 £

(D) make and solve linear equations from shapes(C) trial and improvementp75Ex 2.27Q3 – 6 £

(C) inequalities on a number line(C) solve linear inequalitiesp77Ex 3.28a-d£Q2 - 5 £

(C) tables of values for quadratic functions(C) drawing and using quadratic graphsp79Ex 3.29Q3 - 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 formulaep81Ex 3.30aQ4 - 6 £

Q7 - 8 £

(F-E) tessellation(E-D) regular polygons and their angles(C) problems with polygons and anglesp83Ex 3.30bQ3 £

Q4 - 5 £

Q6 - 7 £

(F -E) accurate drawing of quadrilaterals(E) bearings(D) constructions of triangles(D-C) word problems with bearingsp84-85Ex 3.31a-c£Q2 – 3 £

Q4 - 5 £

(D) finding the circumference(C) working back from circumference to d or r(C) area of circles problemsp87Ex 3.32Q4 - 5 £

Q6 £

(E) nets of prisms(D) plans and elevations(C) volume of prismsp89Ex 3.33Q3 - 4 £

Q5 - 6 £

Q7 - 8 £

(D) angle bisector and perpendicular bisector(C) more construction problems(C) loci: lines and circles(C) loci: shaded regionsp91Ex 3.34aa-d£Q2

a-d£Q3

a-d£Q3

e-h£(E) reflection in drawn lines(D) translation through vector on grid(C) rotation about a given point(C) mixed transformationsp93Ex 3.34ba-c£Q2

a-c£Q3 £

(E) simple enlargements (scale factor 2 or 3)(D) enlargements from a centre (s.f. still 2 or 3)(D) describe enlargementsp95Ex 3.35a,d,f£Q1

b,c,e£Q2 - 5 £

(C) finding the hypotenuse(C) finding a shorter side(C) word problems involving Pythagoras’ theorem