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Mathematics - Revision Sheet for Keystage 3 Levels 3-5
You need to make sure that you have a pen, pencil, ruler, rubber and either a protractor or an angle measurer.

You will also need a calculator for Paper 2.

You will sit a 1 hour paper without a calculator, a 1 hour with a calculator and a mental mathematics test without a calculator.


KEY STAGE 3 TIER 3-5
Number and Algebra

Level 3
Understand Thousands, Hundreds, Tens and Units
Number Sentences
Input/Output Machines
Adding/subtracting simple fractions and decimals
Rounding to nearest 10, 100 etc
Money problems, change, shopping bills etc


Level 4
x, ÷ of whole numbers by 10, 100
Mental and written methods for +, -, x, ÷ including times tables up to 10 x 10
+, - decimals to 2 places e.g. 4.76 + 3.6
Check whether your answers are reasonable
Recognise simple fractions and percentages eg 1/2, 1/4, 3/4, 1/3, 25%, 50%, 10%
Number patterns - finding and describing rules including multiple, factor and square
Use simple formulae expressed in words
Use coordinates in the first quadrant

Level 5
x, ÷ of whole numbers and decimals by 10, 100, 1000
Negative numbers - ordering, adding and subtracting
+, -, x, ÷ decimals to 2 places
Calculate fractional and percentage parts of quantities
x, ÷ 3 digit number by a 2 digit number without a calculator eg 139 x 43
Check solutions by estimating or applying inverse operations
Construct simple formulae involving 1 or 2 operations


Shape, Space and Measure

Level 3
Time, how long is it between 7.35 am and 8.42 am?
Reading scales and understanding units of mass
Estimating height, weight etc

Level 4
3D mathematical models, edges, faces, vertices
Common 2D shapes in different orientations on a grid
Identify congruent shapes
Identify order of rotational symmetry
Reflect simple shapes in a mirror line
Choose and use appropriate units and instruments, interpreting with appropriate accuracy numbers on a range of measuring instruments
Perimeters of simple shapes
Areas by counting squares
Volume by counting cubes

Level 5
Measure and draw angles to the nearest degree and use language associated with angles (acute, obtuse, reflex)
Identify all symmetries of 2D shapes
Know rough metric equivalents of Imperial units 8km = 5 miles, 1 kg = 2.2 lbs, 1 litre = 1.75 pints
Convert one metric unit to another
Estimate a range of measures in relation to everyday situations
Areas of rectangles and triangles
Volumes of cuboids


Handling Data

Level 3
Pictograms, understanding and drawing
Reading and drawing bar charts
Probability scale, how likely something is to happen?

Level 4
Collect discrete data and record using a frequency table
Mode, median
Group data in equal class intervals
Represent collected data in frequency diagrams and interpret such diagrams
Construct and interpret simple line graphs
Probability - understand and use vocabulary such as 'fair', 'certain', 'likely', 'impossible'

Level 5
Mean of discrete data
Compare two simple distributions, using the range and either the mode, median or mean
Interpret graphs and diagrams, including pie charts, and draw conclusions
Use the probability scale from 0 to 1
Understand that different outcomes may result from repeating an experiment.
 
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