Download Common Entrance 13+ Maths Revision

Common Entrance 13+ Mathematics Revision
Number
















Use understanding of place value to multiple and divide whole numbers and
decimals by 10, 100 and 1000.
Order, add and subtract negative numbers.
Use all four operations (addition, subtraction, multiplication and division) with
decimals to two places (including rounding to 1 or 2 decimal places).
When estimating, round to one significant figure and multiply and divide
mentally.
Multiply and divide any three-digit by any two-digit number.
Solve numerical problems involving multiplication and division with numbers of
any size using a calculator.
Check solutions by applying inverse operations or estimating.
Understand prime factors and express a number as a product of primes, using
index notation.
Find the Lowest Common Multiple and Highest Common Factor of two or more
numbers.
Reduce a fraction to its simplest form.
Calculate fractional or percentage parts of quantities and measurements.
Express one number as a fraction of percentage of another.
Understand and use equivalences between fractions, decimals and percentages.
Calculate using ratios in appropriate situations.
Add and subtract fractions by writing them with a common denominator.
Multiple and divide fractions, including easy mixed numbers.
Algebra





Use brackets appropriately [multiply out 3(2a - 4); factorise 2b + 4c].
Formulate and solve linear equations with whole number and simple fractional
coefficients [solve 2a – 3 = 5; 3b + 1 = 11 – 2b; ¼c = 20].
Find and describe the rule for the next term or the nth term of a sequence when
exploring number sequences.
Use and interpret coordinates in all four quadrants.
Represent mappings expressed algebraically, and use Cartesian coordinates for
graphical representation, interpreting general features [draw the lines x = -2; y =
x – 3].
Geometry and measures













Make sensible estimates of a range of measures in relation to everyday
situations.
Know the rough metric equivalents of imperial units still in daily use and convert
one metric unit to another.
Understand and use appropriate formulae for finding areas of 2-D figures,
circumferences and areas of circles, and volumes of cuboids and prisms.
Identify all the symmetries of 2-D shapes.
Know and use the properties of quadrilaterals.
Recognise and use common 2-D representations of 3-D objects.
Measure and draw angles to the nearest degree.
Know the angle sum of a triangle and the sum of angles at a point.
Enlarge shapes by a positive whole-number scale factor.
Understand and use three-figure bearings to define direction.
Solve problems using angle properties of intersecting and parallel lines.
Solve problems using angle and symmetry properties of polygons.
Understand and use compound measures, such as speed.
Handling data









Compare two simple distributions, using the range and one of the mean, median
or mode.
Interpret charts and diagrams, including pie charts.
Construct and interpret frequency diagrams.
Construct pie charts.
Understand and use the probability scale from 0 to 1.
Find and justify probabilities by selecting and using methods based on equally
likely outcomes and experimental evidence.
Understand that different outcomes may result from repeating an experiment.
Identify all the outcomes when dealing with a combination of two experiments.
Use the knowledge that the total probability of all the mutually exclusive
outcomes of an experiment is 1.