# Year 9 revision topics (higher) Number • Be able to add, subtract ```Year 9 revision topics (higher)
Number
 Be able to add, subtract, multiply, divide negative numbers
 Understand place value
 Find factors and multiples
 Be able to round to given number of decimal places or significant figures
 Fractions
o Be able to add, subtract, multiply and divide fractions
o Convert between improper fractions and mixed numbers
 Decimals
o Be able to add, subtract, multiply and divide decimals
o Convert between recurring decimals and their corresponding fractions
 Percentages
o Convert between fractions, decimals and percentages
o Express one quantity as a percentage of another
o Compare two quantities using percentages
 Ratio and proportion
o Divide a quantity into two parts as a ratio
 Be able to use and understand standard form
Algebra
 Basic algebra
o Collect like terms and simplify
o Multiple out a single bracket
o Factorise expressions
o Understand the difference between expressions, equations, formulae
 Coordinates and linear graphs
o Plot graphs from equations
o Use the form y = mx + c and identify perpendicular and parallel lines
o Find the equation of a line through two given points
 Generate sequences from term-to-term or position-to-term rule and find the nth term
 Be able to understand and plot real life graphs e.g. distance-time graphs
 Solve linear equations e.g. 3x – 4 = 12 or 8(y + 2) = 6y
Shape and space
 Angles
o Recognise angles around a point, on a straight line, vertically opposite angles
o Recognise angles in parallel lines  alternate and corresponding angles
 Use scale factors, scale diagrams and maps
 Use bearings
 Calculate the perimeter and area of triangles, parallelograms, trapezia
 Calculate the surface area of prisms, pyramids, spheres and cones
 Calculate the circumference and area of a circle
Data
 Be able to interpret and construct frequency tables, bar charts, pie charts, pictograms, boxplots, histograms, cumulative
frequency graphs
 Probability
o Be able to list outcomes of events
o Be able to use tree diagrams
o Understand mutually exclusive events
o Calculate theoretical probability
 Scatter graphs
o Draw lines of best fit, make predictions from data, interpolate and extrapolate current trends
Revision materials