Year 10 Summer Exam - Revision content:
Name of Faculty: Mathematics
Number of exams: 2 papers
Length of exam:
Foundation
Non Calculator: 1hr 15mins Calculator: 1 hr 45 mins
Higher
Non Calculator: 1hr 30mins Calculator: 2 hrs
Topic areas: Foundation Tier
NUMBER TOPICS
 Types of Numbers
 Proportion
 The four operators with whole numbers
 Fractions, Decimals & percentages
 Money problems
 Speed, Distance, time
 Shopping bills and money problems
 Using a calculator efficiently
 Best buys
 Percentage problems inc % of an amount, % increase/decrease, etc
 Metric to Imperial conversions & vice versa
 Ratio
ALGEBRA TOPICS
 Linear equations
 Conversion and travel graphs
 Equations of straight lines inc. y=mx+c
 Substitution into formulae
 Sequences, term to term and nth term rules
 Co-ordinates
 Inequalities
SHAPE & SPACE TOPICS
 Line and rotational symmetry
 Angles (measuring and calculating)
 Properties of Quadrilaterals
 Nets, surface area and volume
 Constructions (with a compass)
 3 digit bearings & 8 points of the compass
 Perimeter and area
 Transformations (reflection, rotation, enlargement and translation)
 Angles in triangle, quadrilateral, parallel lines
 Volume of cube, cuboid, prism inc. cylinder
DATA TOPICS
 Statistical charts – pictograms, pie charts, tally tables, bar charts
 Probability
 Collecting data & types of data
 Questionnaires and surveys
 Scatter diagrams
 Two way tables
 Mean, median, mode and range – from raw data & more complex problems
 Stem and leaf diagrams
Topic areas: Higher Tier
NUMBER TOPICS
 Speed, Distance, time
 Repeated percentage change (using multipliers)
 Standard form
 Surds
 Index laws
 Percentage problems (increase/decrease/profit/loss)
 Types of numbers
 Ratio problems
 Reverse percentage and reverse fractional problems
 Upper and lower bounds, including calculations
 Direct and inverse proportion problems
ALGEBRA TOPICS
 Substitution into formulae
 Simplifying algebraic expressions
 Simultaneous equations (inc one quadratic & one linear)
 Rearranging formulae
 Solving quadratic equations
 Completing the square
 Tables of values and plotting quadratic or cubic graphs
 Solving quadratic equations graphically
 Deriving algebraic formulae from given information
 Solving equations using trial & improvement method
 Quadratic factorising
 Simplifying algebraic fractions
 Algebraic proof
SHAPE & SPACE TOPICS
 Properties of Quadrilaterals
 Nets, surface area and volume
 Constructions
 2D and 3D co-ordinates
 Arc length and sector area
 Circle theorems
 Area of rectangle, triangle, parallelograms, trapezium
 Angles in triangle, quadrilateral, parallel lines
 3 digit bearings & 8 points of the compass
 Volume of prisms (inc cylinder)
 Similarity including similar triangles
 Trigonometry of right angled triangles
 Sine and cosine rules for non-right angled triangles
 Solving Trigonometric equations & interpreting trig graphs
DATA TOPICS
 Questionnaires and surveys
 Two way tables
 Scatter diagrams & line of best fit
 Mean, median, mode, range from raw data and frequency tables
 Histograms (frequency density)
 Probability & relative frequency
 Mutually exclusive and independent events in probability
 Probability tree diagrams
 Stem & leaf diagrams
 Cumulative frequency & boxplots
Any other notes:
For past papers, revision notes and revision questions organised by topics, please see the St
Paul’s maths website: www.stpaulsmaths.com