Level 8 / Grade B Topics
Algebra
Factorise a quadratic into double brackets
Solve an equation which requires prior simplification
Solve a factorised quadratic equation
Solve simultaneous equations algebraically (strangely, this is level 7 in SATs but grade B at GCSE)
Solve simultaneous equations graphically
Substitute into the hardest formulae
Find the equation of a line from its coordinates
Plot and shade the regions of an inequality question
Sketch or recognise a graph of a real life situation (e.g. a water container)
Sketch or recognise a graph of a quadratic, cubic, reciprocal or difficult linear equation
Simiplify an algebraic expression with negative or fractional indices
Handling Data
Calculate the median, quartiles & other answers from a cumulative frequency curve & box plot
Design & complete a cumulative frequency table
Draw a cumulative frequency curve
Find the probability of independent events using a tree diagram
Number
Solve a problem involving standard form
Calculate repeated percentage change (e.g. compound interest & depreciation)
Find the original amount before a percentage change
Find the upper & lower bounds of a rounded answer or measurement
Calculate the rational answer to a surd question
Shape, Space & Measure
Give the reasons or 'proof' to support an answer to an angle problem
Calculate the length of an arc, & sector perimeter or area
Calculate the area of shaded or compound shapes from circles
Calculate the volume & surface area of a cone or pyramid
Calculate & prove angle(s) involved in circle theorems
Calculate the volume & surface area of a sphere (grade B only - not in SATs, I think)
Recognise whether a formula represents length, area or volume
Draw loci with more than one condition
Solve a problem involving a combination of density, mass & volume
Find the upper & lower bounds of rounded answers or measurements (same as above, under Number)
Apply Pythagoras to a complicated question
Calculate the length of missing sides in harder similar shapes
Prove that shapes are congruent or similar
Solve a problem with similar figures involving area & volume
Solve a problem involving negative enlargement
Calculate a missing angle or side in a right angled triangle using trigonometry
Solve a problem involving an angle of elevation or depression using trigonometry
Solve a problem involving pythagoras & trigonometry

