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| Mathematics - Revision
Sheet For Keystage3 Levels 4-6 |
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You need to make sure that you have a pen, pencil, 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 4-6
Number and
algebra
Level 4
1 x, ÷ of whole numbers by 10, 100
2 Mental and written methods for +, -, x, ÷ including times
tables up to 10 x 10
3 +, - decimals to 2 places eg 4.76 + 3.6
4 Check whether your answers are reasonable
5 Recognise simple fractions and percentages eg 1/2, 1/4, 3/4, 1/3,
25%, 50%, 10%
6 Number patterns - finding and describing rules including multiple,
factor and square
7 Use simple formulae expressed in words
8 Use coordinates in the first quadrant
Level 5
1 x, ÷ of whole numbers and decimals by 10, 100, 1000
2 Negative numbers - ordering, adding and subtracting
3 +, -,x, ÷ decimals to 2 places
4 Calculate fractional and percentage parts of quantities
5 x, ÷ 3 digit number by a 2 digit number without a calculator
eg 139x43
6 Check solutions by estimating or applying inverse operations
7 Construct simple formulae involving 1 or 2 operations
Level 6
1 Order and approximate decimals
2 Solve equations such as x³ + x = 20 using trial and improvement
methods
3 Expressing one number as a fraction or percentage of another
4 Equivalences between fractions, decimals and % eg 3/4 = 0.75 =
75%
5 Calculate using ratios
6 Number patterns - describe in words the rule for nth term or nth
term of a sequence
7 Formulate and solve equations eg 3x+4=13
8 Coordinates using all four quadrants
Shape, Space and Measure
Level 4
1 3D mathematical models, edges, faces, vertices
2 Common 2D shapes in different orientations on a grid
3 Identify congruent shapes
4 Identify order of rotational symmetry
5 Reflect simple shapes in a mirror line
6 Choose and use appropriate units and instruments, interpreting
with appropriate accuracy numbers on a range of measuring instruments
7 Perimeters of simple shapes
8 Areas by counting squares
9 Volume by counting cubes
Level 5
1 Measure and draw angles to the nearest degree and use language
associated with angles (acute, obtuse, reflex)
2 Identify all symmetries of 2D shapes
3 Know rough metric equivalents of Imperial units 8km = 5 miles,
1 kg = 2.2 lbs, 1 litre = 1.75 pints
4 Convert one metric unit to another
5 Estimate a range of measures in relation to everyday situations
6 Areas of rectangles and triangles
7 Volumes of cuboids
Level 6
1 2D representations of 3D shapes
2 Properties of quadrilaterals
3 Solve problems using angles and symmetry properties of polygons
and intersecting and parallel lines
4 Devise instructions to generate and transform shapes and paths
(LOGO)
5 Circumference and area of a circle
6 Areas of plane rectilinear figures
7 Enlarge shapes by a positive whole number scale factor
Handling Data
Level 4
1 Collect discrete data and record using a frequency table
2 Mode, median
3 Group data in equal class intervals
4 Represent collected data in frequency diagrams and interpret such
diagrams
5 Construct and interpret simple line graphs
6 Probability - understand and use vocabulary such as 'fair', 'certain',
'likely', 'impossible'
Level 5
1 Mean of discrete data
2 Compare two simple distributions, using the range and either the
mode, median or mean
3 Interpret graphs and diagrams, including pie charts, and draw
conclusions.
4 Use the probability scale from 0 to 1
5 Understand that different outcomes may result from repeating an
experiment
Level 6
1 Collect and record continuous data, choosing appropriate equal
class intervals to create a frequency table
2 Construct and interpret frequency diagrams
3 Construct pie charts
4 Draw conclusions from scatter diagrams and know the difference
between positive correlation, negative correlation and no correlation
5 Find and justify probabilities using equally likely outcomes or
experimental evidence
6 Identify all outcomes when combining two experiments eg throwing
a dice and spinning a spanner
7 Know that the total probability of all mutually exclusive outcomes
of an experiment is 1
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