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Topics
Soon to be completed - every topic here listed in order.
1a - expand a single bracket
1b - factorise a single bracket
2a - expand two brackets & simplify
2b - factorise a quadratic into two brackets
2c - factorise to simplify algebraic fractions
2d - Solve a quadratic equation by factorising
2e - Use the quadratic formula to solve a quadratic equation
3a - Use an inequality sign
3b - solve a simple inequality & find the integer values
3c - Solve a harder inequality & find the integer values
3d - Plot and shade the regions of an inequality question
4a - solve a basic equation
4b - convert a number machine into an equation
4c - solve an equation with x on one side
4d - Solve an equation with x on both sides
4e - Solve an equation with prior simplification (such as expanding brackets)
4f - Solve a fractional equation
5 - solve an equation using trial and improvement
6a - solve a simultaneous equation algebraically
6b - Solve simultaneous equations graphically
6c - Calculate where a straight line meets a circle
6d - Solve a linear & quadratic simultaneous equation
7a - Use simple formulae in words
7b - Derive an algebraic expression from a formula in words
8a - Substitute numbers into a formula
8b - Substitute numbers into a harder formula (e.g. by squaring)
8c - Substitute fractions or decimals in a formula
9a - Rearrange the subject of a simple formula
9b - Rearrange a formula where the subject occurs more than once
10 - Plot co-ordinates in all four quadrants
11a - Interpret & draw a conversion or travel graph
11b - Calculate speed, distance & time from a travel graph
11c - Sketch a graph of a real life situation (e.g. a water container)
12a - Plot, write & recognise a basic straight line graph
12b - Plot a straight line from its equation
12c - Recognise & calculate the gradient, y-intercept & equation of a line
12d - Plot a quadratic, cubic, reciprocal or difficult linear graph
12e - Calculate the equation of a line from its coordinates
13a - Find the graphical solutions to equations (using meeting lines)
13b - Sketch & find the solution to a trigonometric curve
13c - Apply transformations to y=f(x)
14a - Add, subtract, multiply & divide an algebraic expression
14b - Simplify algebra using the rules for indices
14c - Simplify an algebraic expression with negative or fractional indices
14d - Simplify an algebraic expression with fractions
15a - Find the output of a number machine
15b - Continue a sequence of numbers or pattern of shapes
15c - Generate a sequence from a given rule
15d - Find a number machine input from a given output
15e - Find a specific sequence term from a given worded or nth term rule
15f - Find the nth term formula for a (linear) expression
16a - Calculate the mode from a list of data
16b - Calculate the range from a list of data
16c - Calculate the mean from a list of data
16d - Calculate the mean from a list of data
16e - Choose the best average to use and explain your decision
16f - Compare the averages from different data
17a - Calculate the averages from a frequency table
17b - Calculate the averages from a grouped frequency table
18a - Design and complete a cumulative frequency table
18b - Draw a cumulative frequency curve
18c - Draw a box plot
18d - Interpret a cumulative frequency curve and box plot
19 - Calculate and interpret the moving average
20a - Collect and sort discrete data into a frequency table
20b - Collect and sort continuous data into groups within a frequency table
20c - Distinguish between qualitative, quantitative, discrete & continuous data
20d - Design or correct a questionnaire
20e - Write a hypothesis and test it
20f - Understand what makes good and bad sampling
20g - Understand sampling techniques and justify their choice
21a - Draw a simple line graph
21b - Interpret a line graph or bar chart
22a - Draw a pie chart and calculate the angles
22b - Interpret a pie chart
23a - Draw a histogram with equal widths
23b - Interpret a histogram with equal widths
24a - Draw a frequency polygon
24b - Interpret a frequency polygon
25a - Draw a stem and leaf diagram
25b - Interpret a stem and leaf diagram
26a - Plot a scatter graph and draw the line of best fit
26b - Describe correlation and use the line of best fit for predictions
27a - Draw a histogram using different widths and frequency density
27b - Interpret a histogram using frequency density and different widths
28a - Use probability words like fair and likely
28b - Use the probability scale from 0 to 1
28c - Calculate the theoretical probability of an event happening
28d - Calculate the probability of an event not happening
28e - Estimate the relative frequency of an event happening
28f - Predict the exected number of outcomes for an event
29a - Calculate the probability of two events happening in a table
29b - Calculate the probability of combined events using a tree diagram
29c - Calculate the probabilities of exclusive events from sample data
29d - Calculate the probabilities of compound events from sample data
30a - Find the place value of a digit
30b - Put decimals in order
31a- Add and subtract decimals
31b - Multiply & divide decimals by 10, 100, 1000 etc.
31c - Multiply & divide decimals (and whole numbers) together
31d - Multiply and divide numbers by decimals between 0 and 1
32a - Convert between fractions, decimals and percentages
32b - Change a recurring fraction into a decimal
33a - Find a simple fraction of an amount or shape
33b - Calculate the fraction of a quantity or measurement
33c - Write one amount as a fraction of another
34a - Simplify and find equivalent fractions
34b - Convert between mixed numbers and improper fractions
35a - Add and subtract fractions
35b - Multiply and divide fractions
36a - Write numbers multiplied together in index form
36b - Simplify numbers with powers using the rules of indices
36c - Evaluate numbers with fractional or negative indices
37 - Solve problems involving standard form
38a - Recognise & find multiples, factors & primes
38b - Recognise & find square & cube numbers & roots
38c - Find the lowest common multiple (LCM)
38d - Find the prime factors and highest common factor (HCF)
39a - Add and subtract
39b - Multiply and divide small numbers
39c - Solve problems with money
39d - Multiply two numbers using long multiplication
39e - Divide two numbers using long division
40a - Add, subtract and order negative numbers
40b - Multiply and divide negative numbers
41a - Follow the correct order of operations using BODMAS
41b - Use BODMAS in longer questions
42a - Find a percentage of an amount
42b - Find one amount as a percentage of another
42c - Calculate percentage profit or loss
43a - Calculate harder percentage change (e.g. VAT, tax & credit)
43b - Calculate simple interest
43c - Calculate the original amount before a percentage change
43d - Calculate repeated percentage change (e.g. interest & depreciation)
44a - Solve problems using simple ratio & proportion
44b - Compare & simplify numbers in a given ratio
44c - Find fractions of items in proportion to each other (e.g. recipes)
44d - Divide or share an amount in a ratio
44e - Find a missing constant & variable for direct or inverse proportion
44f - Use scale factors with a map or a scale drawing
45a - Check a solution by simple approximating
45b - Check a solution using inverse operations
45c - Round a number to decimal places or significant figures
45d - Check a solution to a harder question by approximating
45e - Find the upper and lower bounds of a rounded number
46a - Calculate the rational answer to a surd question
46b - Simplify a surd, usually leaving your answer in surd form
47 - Use a protractor to measure & draw angles correctly
48a - Calculate the missing angle(s) in a triangle and quadrilateral
48b - Calculate the missing angle(s) on a straight line
48c - Calculate the missing angle(s) at a point
48d - Calculate the missing angles in parallel lines
48e - Calculate the interior & exterior angles of polygons
48f - Provide the proof for an angle problem
49a - Measure & draw bearings
49b - Calculate the bearings of two objects from each other
50 - Calculate angles using circle theorems
51a - Calculate the area and circumference of a circle
51b - Calculate the area of compound shapes from circles
51c - Calculate the length of an arc, & area of a sector & segment
52a - Calculate the volume and surface area of a cylinder
52b - Calculate the volume & surface area of a cone & pyramid
52c - Calculate the volume & surface area of a sphere
53a - Calculate the area of a shape by counting squares
53b - Calculate the volume of a shape by counting cubes
53c - Calculate the perimeter of a simple shape
53d - Calculate the area of a rectangle & a triangle
53e - Calculate parallelogram, trapezium, kite & compound shape area
54a - Calculate the volume of a cuboid or cube
54b - Calculate the volume & surface area of a prism
54c - Recognise whether a formula is length, area or volume
55a - Draw all the points a given distance from a point or line
55b - Draw an angle or perpendicular bisector
55c - Draw a shape accurately from its description (e.g. a triangle)
55d - Draw loci with more than one condition
56a - Write time in the 12 & 24 hour clock
56b - Use suitable units, measuring scales & instruments
56c - Convert between metric units of length, mass & capacity
56e - Convert between metric & imperial units
56f - Convert between units of length, area & volume
56g - Convert between units of currency
57a - Solve a simple problem involving speed, distance or time
57b - Solve a problem involving a combination of speed, distance & time
57c - Solve a problem involving a combination of density, mass & volume
58a - Calculate the length of a missing side using Pythagoras
58b - Apply Pythagoras theorem to a complicated question
59a - Recognise the properties of 2D and 3D shapes
59b - Identify all the lines of symmetry of 2D shapes
59c - Identify the order of rotational symmetry of 2D shapes
59d - Learn & distinguish the properties of every 2D shape
59e - Identify all the planes of symmetry of a 3D shape
60a - Draw or recognise a sketch or net of a 3D shape
60b - Learn & draw 3D shapes on isometric (dotted) paper
60c - Draw & recognise the plans & elevations of 3D shapes
60d - Draw tesselation & know why it is sometimes impossible
61a - Recognise & draw congruent 2D shapes
61b - Calculate the lengths of missing sides in simple similar shapes
61c - Prove that shapes are congruent or similar
61d - Calculate the lengths of missing sides in harder similar shapes
61e - Solve a problem with similar figures involving area & volume
62a - Reflect a simple shape in a one-way mirror line
62b - Reflect any shape in a one- & two-way mirror line
62c - Solve a problem involving positive enlargement
62d - Solve a problem involving translation using vectors
62e - Recognise & describe a combination of transformations
62f - Solve a problem involving fractional enlargement
62g - Rotate a shape, or state the angle, direction & centre of rotation
62h - Reflect in a diagonal mirror line or find the equation of the mirror line
62i - Solve a problem involving negative enlargement
63a - Find missing angles or sides in a right angled triangle with trigonometry
63b - Solve a trigonometry problem with an angle of elevation or depression
63c - Solve a problem involving trigonometry & pythagoras
64a - Use the sine rule to find a missing side or angle
64b - Use the cosine rule to find a missing side or angle
64c - Solve a problem involving surds in Pythagoras & trigonometry
64d - Solve a problem involving Pythagoras and trigonometry in 3D
64e - Calculate the area of a triangle using Sin C
65a - Calculate the sum, difference & multiple of vectors
65b - Draw the sum, difference or multiple of vectors
65c - Solve other problems using vectors
