Key Stage 3 Mathematics: Revision Topics
Topic Level 6 Level 7 Level 8
Number: Calculations and Ratio Understand effect of multiplying/ Standard form.
number work. dividing by numbers between 0 and 1. Calculating powers and roots of
Know that the reciprocal of 5 is 1/5. numbers.
Draw factor trees to write a number as a
product of prime numbers.
Efficient use of calculator to work out
(9.8 12.3) 2
Solving number problems.
Estimating answers to calculations by
rounding to 1 sig. fig.
Number: Fractions, Find one number as a percentage of Know that you can increase a number Use fractions, decimals and negative
decimals and percentages another (e.g. 45 out of 80 students are by 8% by multiplying it by 1.08. numbers in calculations.
girls. What percentage is this?) Know that you can decrease a number
Add and subtract fractions by finding by 12% by multiplying it by 0.88.
Converting between fractions, decimals
Ordering decimals (e.g. know that
0.318 is smaller than 0.32)
Algebra: Equations Solve equations like 7n 2 5n 14 . Solving simultaneous equations. Harder equations involving brackets,
Solve simple inequalities like fractions. Equations with negative and
2n + 1 < 9. Representing inequalities on a fractional solutions.
Algebra: Graphs Draw graphs, e.g. y = 2x + 3, by Solving simultaneous equations by Understand that a straight line graph
drawing a table of values. looking to see where graphs cross over. has equation y mx c . Know what
m and c represent.
Draw graphs like y x 2 2 or y =
12/x by producing tables of values.
Interpreting graphs that represent real-
life situations (e.g. travel graphs or
Algebra: Formulae and Finding the formula for the nth term of Finding rules for more complicated Multiply out brackets like
expressions a linear sequence (eg the nth term of 4, sequences. (2 x 1)(3x 2) .
7, 10, 13 is 3n + 1) Multiply out brackets like
Factorising quadratics, eg x 2 7 x 12
( x 2)(x 3) .
factorises as ( x 3)(x 4) .
Factorise expressions like 6 x 2 8 x to Simplifying indices, like y 9 y 3 , or
get 2 x(3x 4) .
3c 4 5c 2
Rearranging equations (i.e. changing
the subject of a formula).
Shape and Space: Angles Draw 3D objects on triangular dotty Calculating the length of sides in right- Calculating angles in right-angled
and shapes paper. Draw plans and elevations of 3D angled triangles using Pythagoras’ triangles using trigonometry.
shapes theorem. Recognise similar shapes (i.e. when one
Know names and properties of Locus. shape is an enlargement of another).
quadrilaterals. Finding the angles in pentagons, Recognise congruent shapes (i.e. where
Angles and parallel lines (alternate, hexagons and other polygons. Interior 2 shapes have exactly the same shape
corresponding and vertically opposite and exterior angles. and size).
Shape and space: Area Area of a triangle. Area of trapeziums and parallelograms.
and volume Finding area and circumference of a Harder area problems involving circles.
circle. Volume of a prism.
Volume of a cuboid.
Shape and space: Enlarge a shape scale factor 2 or 3. Enlarge a shape scale factor ½ or scale
Transformations Transforming shapes using translations, factor 1/3.
reflections and rotations.
Shape and space: Converting between cm2 and m2 or Know that if a book weighs 12kg to the
Measurement between cm3 and m3. nearest kg, then the book could actually
weigh between 11.5 and 12.5 kg.
Calculating speed as .
Data handling: Averages Finding the mean from a simple table, Finding the mean from a grouped table Finding the median from a cumulative
eg: by finding the mid-point of each frequency graph.
Mark 5 6 7 8 interval.
Frequency 2 12 13 7 Comparing two sets of data using
averages and the range.
Data handling: Diagrams Draw pie charts. Drawing a line of best fit on a scatter Draw cumulative frequency curves.
and questionnaires Drawing scatter graphs and understand graph. Draw box-and-whisker plots.
correlation Frequency polygons.
Criticise questionnaire questions. Stem-and-leaf diagrams.
Data handling: Listing the outcomes of experiments. Estimating the probability of an event Multiplying probabilities for
Probability Showing outcomes on probability using an experiment (relative independent event – the AND rule.
Adding probabilities of mutually
exclusive events – the OR rule.