Solve fractional equations with the unknown in the denominator Algebra A* Simplify algebraic fractions Algebra A* Solve quadratic equations by using the quadratic formula Algebra A* Use the technique of completing the square Algebra A* Solve a pair of simultaneous equations where one is linear and the other is a circle Algebra A* Solve cubic equations by drawing appropriate lines on graphs Algebra A* Transform the graphs of y = f(x), such as linear, quadratic, cubic, sine and cosine functions, using the transformations y = f(x) + a, y = f(x + a), y = f (ax) and y = af(x) Algebra A* Recognise and sketch the shapes of graphs of functions Algebra A* Derive algebraic proofs using reasoning and logic Algebra A* Construct the graphs of loci, including the circle x2 + y2 = r2 Algebra A* Solve proportion problems (direct, inverse, proportional to the square, inversely proportional to the square) Algebra A Interpret the graphs of direct and inverse proportion relationships Algebra A Rearrange formulae where the new subject appears twice Algebra A Understand the gradients of perpendicular straight-line graphs Algebra A When given a graph, draw another line to solve an equation Algebra A Solve a pair of simultaneous equations where one is linear and the other involves x2 Algebra A Expand and simplify quadratics Algebra B Factorise quadratic expressions Algebra B Solve quadratic equations by factorising Algebra B Rearrange formulae that include brackets, fractions and square roots Algebra B Use and understand y=mx+c Algebra B Solve a set of linear inequalities in 2 variables by shading a region of a graph Algebra B Solve a pair of simultaneous equations algebraically Algebra B Solve simultaneous equations graphically Algebra B Complete tables for, and draw graphs of cubic functions and quadratics Algebra B Factorise expressions with one pair of brackets Algebra C Multiply out expressions with brackets Algebra C Use index notation and index laws for positive and negative powers Algebra C Write the nth term of a sequence or a series of diagrams Algebra C Find a solution to a problem by forming an equation and solving it Algebra C Solve linear equations Algebra C Form and solve equations such as x3 + x = 12 using trial and improvement methods Algebra C Recognise the equations of straight-line graphs Algebra C Find the gradients of straight-line graphs Algebra C Draw graphs of quadratic functions by plotting points Algebra C Represent solutions to inequalities on a number line Algebra C Solve linear inequalities Algebra C Understand the difference between a demonstration and a proof Algebra C Recognise the words: equation, formula, identity and expression Algebra D Write the terms of a sequence or a series of diagrams when given the nth term Algebra D Draw lines such as y = 2x + 3 using a table of values Algebra D Solve equations with unknowns on each side and with brackets Algebra D Substitute numbers into formulas Algebra D Solve probability problems involving dependent events Data Handling A* Use stratified sampling Data Handling A Interpret statistical graphs and draw conclusions Data Handling A Construct and interpret a histogram Data Handling A Solve probability problems involving independent events Data Handling A Compare two sets of data using averages Data Handling B Construct and interpret a box plot Data Handling B Construct and interpret a cumulative frequency diagram Data Handling B Work out the median, quartiles and interquartile range Data Handling B Find averages from grouped data Data Handling C Use a line of best fit to estimate values on a scatter graph and describe the correlation Data Handling C Draw a line of best fit on the scatter graph Data Handling C Identify possible sources of bias in the design and use of data collection sheets & questionnaires Data Handling C Specify hypotheses and test them Data Handling C Use relative frequency to find probabilities Data Handling C Create a tree diagram Data Handling C Calculate the mean for a frequency distribution Data Handling D Construct an ordered stem-and-leaf diagram Data Handling D Construct a frequency diagram Data Handling D Draw and interpret pie charts Data Handling D Draw a scatter graph by plotting points on a graph and interpret it Data Handling D Classify and know the difference between various types of data Data Handling D Design and use data collection sheets and questionnaires Data Handling D Use a variety of different sampling methods Data Handling C Use a two-way table to work out probability Data Handling D List all the possible outcomes of two events, using a probability space Data Handling D Understand probabilities of mutually exclusive events Data Handling D Simplify expressions with surds into the form a + b3 Number A* Use index laws to evaluate any expression involving powers Number A* Find the upper and lower bounds of calculations Number A* Rationalise the denominator of a surd Number A Use index laws to evaluate simple fractional or negative powers Number A Convert recurring decimals to fractions and fractions to recurring decimals Number B Identify recurring and terminating decimals Number B Calculate using standard index form Number B Convert between ordinary and standard index form representations Number B Work out reverse percentage problems Number B Work out compound interest Number B Calculate proportional changes using a multiplier Number B Find the least common multiple (LCM) Number C Find the highest common factor (HCF) Number C Write a number as a product of prime factors Number C Find the reciprocal of a number Number C Estimate answers to calculations Number C Use a calculator correctly and efficiently Number C Find the minimum and maximum values of a number that has been rounded off Number C Round a number off to a given number of significant figures Number C Understand the effects of multiplying by numbers between 0 and 1 Number C Divide a number by a decimal Number C Work out a percentage increase or decrease Number C Express one quantity as a percentage of another Number C Solve ratio and proportion problems such as sharing out Number C Solve ratio and proportion problems using the unitary method Number C Calculate with fractions Number C Understand and learn the words: square, positive and negative square root, cube and cube root, learn squares up to 15x15 and cubes up to 5 cubed Number D Multiply two numbers involving decimals Number D Increase or decrease a quantity by a given percentage Number D Convert between decimals, fractions and percentages Number D Use trigonometry in three dimensions Shape & Space A* Understand the graphs of trigonometric functions for angles of any size Shape & Space A* Find the volume of the frustum of a truncated cone Shape & Space A* Solve vector geometry problems Shape & Space A* Calculate the length of an arc and the area of a sector and a segment of a circle Shape & Space A Calculate the surface areas of cylinders, cones and spheres Shape & Space A Calculate the volumes of cylinders, cones and spheres Shape & Space A Prove and use the circle theorems Shape & Space A Enlarge a shape by a negative scale factor Shape & Space A Solve problems involving the enlargement of areas and volumes Shape & Space A Solve vector geometry problems by adding, subtracting or multiplying with vectors Shape & Space A Use congruent triangles to solve problems and to provide proofs Shape & Space A Use Pythagoras theorem in 3-D problems Shape & Space A Use the cosine rule in any triangle Shape & Space A Use the sine rule in any triangle Shape & Space A Work out the area of a triangle using sin Shape & Space A Calculate angles where circles are involved Shape & Space B Discuss and interpret graphs modelling real situations Shape & Space B Interpret velocity-time graphs Shape & Space B Solve problems involving similar triangles Shape & Space B Calculate the distance between two points using their coordinates Shape & Space B Use sin, cos and tan in a right-angled triangle Shape & Space B Convert between different units of area and volume Shape & Space C Calculate the volume of prisms and cylinders Shape & Space C Solve problems involving perimeters and areas of circles Shape & Space C Solve problems involving surface areas of prisms and cylinders Shape & Space C Classify a quadrilateral by its geometric properties Shape & Space C Solve problems using angle and symmetry properties of polygons Shape & Space C Understand and use coordinates in three dimensions Shape & Space C Find the midpoint of a line segment Shape & Space C Transform shapes by a combination of translation, reflection and rotation and know that area and angles are unchanged Shape & Space C Describe fully, and carry out reflections in lines and rotations about any point Shape & Space C Reflect shapes in the lines y = x and y = -x Shape & Space C Translate a shape by a vector Shape & Space C Enlarge a shape by any positive scale factor Shape & Space C Calculate average speeds from distance-time graphs Shape & Space C Understand and use compound measures such as speed and density Shape & Space C Prove that angles in a triangle add up to 180 degrees Shape & Space C Use Pythagoras theorem in practical problems Shape & Space C Use Pythagoras theorem Shape & Space C Solve loci problems Shape & Space C Construct an accurate locus Shape & Space C Carry out accurate constructions, using ruler and compass Shape & Space C Find the area and perimeter of compound shapes Shape & Space D Calculate the area of a circle Shape & Space D Calculate the circumference of a circle Shape & Space D Find the area of a triangle, parallelogram, kite and trapezium Shape & Space D Draw and interpret maps and scale drawings Shape & Space D Reflect shapes in lines such as x = 2 or y = -1 Shape & Space D Identify reflection symmetry in 3-D shapes Shape & Space D Translate a shape using directions Shape & Space D Enlarge a shape by a positive integer scale factor Shape & Space D Solve problems using bearings Shape & Space D Solve problems using the properties of intersecting and parallel lines Shape & Space D Draw a quadrilateral such as a kite or a parallelogram with given measurements Shape & Space D Construct and recognise the nets of 3-D shapes such as pyramids and triangular prisms Shape & Space D Draw plans and elevations of 3-D shapes Shape & Space D

## Maths Questions

• 0
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1
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### what are the interuption of school books?

By shawnacarrier on the 15th of February, 2017

• 0
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1
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### y is directly proportional to x.y = 20 and x = 4

By David Miller on the 29th of April, 2015

• 0
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1
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### How do I convert a decimal to a fraction?

By Gareth Banks on the 6th of March, 2013

• 0
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1
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### What does it mean when it says a number is recurring?

By Gareth Banks on the 6th of March, 2013

• 0
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1
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### Are fractions and percentages basically the same thing?

By Gareth Banks on the 6th of March, 2013

• 0
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1
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### What are factors?

By Alexa Samuels on the 5th of March, 2013

• 0
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1
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### What is a prime number?

By Alexa Samuels on the 5th of March, 2013

• 0
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1
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### What is a "LCM"?

By Alexa Samuels on the 5th of March, 2013

• 0
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1
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### what is pi?

By henry warren on the 25th of January, 2013

• 9
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10
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### What are the 3D shapes?

By Ryan McGuire on the 10th of January, 2013