# Edexcel Unit 3 Maths Higher Topic List

Edexcel Unit 3 Maths Higher Topic List

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GCSE Mathematics Unit 3 ­ Topic List ­ HIGHER
Number
Add, subtract, multiply and divide any whole number using a calculator
Add, subtract, multiply and divide any fraction with a calculator
Add, subtract, multiply and divide any decimal with a calculator
Add, subtract , multiply and divide any index number with a calculator
Use a calculator effectively and efficiently by entering a range of calculations including those
involving time and money
Know how to use the square root, cube, cube root, power, fraction, reciprocal, standard
form and trigonometrical function buttons on a calculator
Write numbers in standard form
Convert between ordinary numbers and standard form
Calculate with numbers in standard form
Express a given number as a fraction of another
Convert recurring decimals into fractions
Write down upper and lower bounds
Solve problems involving the upper and lower bounds of measurement
Find a percentage of an amount using a calculator
Increase or decrease an amount by a percentage
Express a given number as a percentage of another number
Find a percentage profit (increase) or percentage loss (decrease)
Use multipliers to increase or decrease by a percentage
Use percentages in real- life situations e.g. VAT and simple interest
Use percentages to solve compound interest and depreciation problems
Calculate an original amount given the amount after a percentage change (reverse
percentages)
Algebra
Collect like terms e.g. 2a + 6a = 9a, as well as 4a x 5a =
Substitute positive and negative numbers, as well as fractions into expressions, equations
and formulae
Expand single and double brackets
Factorise single and double brackets including the difference of 2 squares
Simplify algebraic fractions
Solve simple equations
Solve equations including those with fractions, unknowns on both sides and brackets
(including brackets on both sides)
Set up and solve equations e.g: from words, diagrams involving area or perimeter
Represent inequalities on a number line
Solve inequalities and show the solution set on a number line
Show the solution to several inequalities on a graph
Solve a pair of linear simultaneous equations
Know the solution to a pair of simultaneous equations is where the two graphs
intersect and be able to draw graphs to solve simultaneous equations
Solve quadratic equations by factorising
Solve quadratic equations by completing the square

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Solve quadratic equations by using the formula
Solve algebraic fraction equations leading to quadratic equations
Use trial and Improvement to find approximate solutions to equations
Change the subject of a formula
Change the subject of complex formula where the subject occurs more than once
Plot co-ordinates
Plot a straight-line graphs
Find the length of a line on a grid using Pythagoras' Theorem
Find gradients from graphs and two given points
Interpret information presented in graphs, conversion graphs, speed from distance time

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Use a ruler and compass to construct a perpendicular bisector, angle bisector , perpendicular
through a point on a line, perpendicular from a point to a line
Use a ruler and compass to construct a 60o, 90o, 30o, 45o angle
Use a ruler and compass to draw circles and arcs
Construct loci
Draw regions
Use Pythagoras' Theorem in 2D
Use Pythagoras' Theorem in 3D
Use sin, cos and tan to solve problems in right angle triangles in 2D
Use sin, cos and tan to solve…read more