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