Foundation GCSE

Predictions

Topics

Mini mocks

Brutals

Foundation GCSE Topics

Practice questions for every GCSE topic with papers self-mark so you can track progress.

3D Shapes

Identify 3D shapes and their properties including faces, edges, vertices and planes of symmetry

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Add and Subtract Fractions

Add and subtract fractions and mixed numbers including word problems

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Algebraic Indices Involving Brackets

Apply index laws to simplify expressions with brackets including negative indices

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Angle Properties

Angles on a straight line, on a point and vertically opposite angles

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Angles In Triangles

Find angles in triangles including right-angled, isosceles and rectangle problems

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Angles On Parallel Lines

Alternate, corresponding, interior angles and vertically opposite angles

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Angles With Algebra

Solve angle problems using algebra in triangles, parallel lines and shapes

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Area of Circle

Calculate the area of circles from the radius and diameter

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Averages From A List

Find mean, median, mode and range from a list of numbers

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Averages From Tables

Find mean, median and mode from frequency tables including grouped data

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Bar Charts and Histograms

Draw and interpret bar charts, histograms and frequency polygons including probabilities

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Brackets and Negatives Indices

Simplify expressions with brackets and negative indices using index laws

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Calculating Bearings

Calculate and interpret bearings using angles and real-world navigation problems

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Calculations With Standard Form

Multiply, divide, add and subtract standard form

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Circumference of Circle

Calculate the circumference of circles from the radius and diameter

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Compound Shapes

Area and perimeter of compound shapes including rectangles, triangles and missing parts

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Conditional Probability Tree Diagrams

Solve conditional probability problems using tree diagrams and calculate combined probabilities

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Congruent Triangles

Identify and prove congruent triangles

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Constructions And Loci

Construct triangles, bisectors, and loci using ruler and compass methods

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Convert Metric Lengths, Area And Volumes

Convert units of length, area and volume including square and cubic measurements

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Convert to Fractions and Unit Ratios

Convert ratios and fractions including unit ratios and part comparisons

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Converting Standard Form

Convert to and from standard form

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Coordinates

Find and plot coordinates on graphs in all quadrants

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Counting Strategies

List outcomes and use the product rule to find total possibilities

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Cylinders and Spheres

Calculate volume and surface area of cylinders and spheres, including problem solving

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Decimal Arithmetic

Multiply and divide decimals including worded problems and integer calculations

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Density and Pressure

Calculate pressure, force and area and also calculate density, mass and volume

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Direct and Inverse Proportion

Work with direct and inverse proportion including forming and using equations

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Distance-Time Graphs

Interpret distance-time and velocity-time graphs to find speed, distance, velocity and displacement

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Draw And Describe Enlargements

Enlarge and describe enlargements using positive scale factors

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Draw And Describe Reflections

Reflect and describe reflections using a mirror line

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Draw And Describe Rotations

Rotate and describe rotations using direction and turns

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Draw And Describe Scatter Graphs

Plot scatter graphs and identify correlation

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Draw And Describe Translations

Translate and describe translations using vectors

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Draw and Interpret Cubic and Reciprocal Graphs

Plot cubic and reciprocal functions

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Draw And Interpret Quadratic Graphs

Draw and interpret quadratic graphs and solve equations using graphs

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Draw Straight-Line Graphs

Plot straight-line graphs using the y-intercept and gradient

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Drawing Venn Diagrams

Complete and interpret Venn diagrams including set notation and sorting numbers into sets

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Error Intervals

Find error intervals using rounding from maximum and minimum bounds

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Estimate With Scatter Graphs

Draw and use the line of best fit to estimate values and find outliers

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Estimation

Estimate answers using facts, fractions and square roots in calculations

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Expand and Simplify Linear

Expand and simplify single brackets

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Expand x^2 + bx + c

Expand and factorise quadratic brackets

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Experimental Probability

Use experimental probability to calculate frequencies and expected outcomes

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Exterior Angles

Find exterior angles of polygons and use them to determine number of sides

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Factorise Linear

Factorise common factors including numbers, letters or both

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Factorise x^2 + bx + c

Factorise quadratic equations into double brackets

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Factors, Multiples, HCF and LCM

Find factors, multiples, highest common factors and lowest common multiples

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Find Equations Of Lines

Use gradients and y-intercepts to find y = mx + c

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Find Percentage Of Amounts

Find percentages using calculator and non-calculator methods

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Finding Bearings

Find and interpret bearings using angles and direction on diagrams

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Finding Minimum and Maximum Values

Find upper and lower bounds and error intervals for rounded values

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Finding multiples, factors and primes

Find factors, multiples and prime numbers

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Fractions

Work with fractions including shading, simplifying, comparing and ordering

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Fractions and Decimals

Convert between fractions and decimals, order them and interpret worded fraction problems

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Fractions and Percentages

Convert and compare fractions and percentages including calculations and ordering

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Fractions of Amounts

Find fractions of amounts and solve fraction worded problems

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Frequency Tables And Pictograms

Create and interpret frequency tables and pictograms

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Generating Sequences

Find terms and rules in sequences including linear, Fibonacci and exponential patterns

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Gradients

Find gradients of straight-line graphs

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Increasing And Decreasing By Percentages

Use percentages to Increase and decrease values and calculate simple interest

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Independent And Frequency Tree Diagrams

Use independent events and frequency trees to calculate probabilities and complete diagrams

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Indices Calculations

Apply index laws to simplify expressions including multiplication, division and fractions

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Inequalities On Number Lines

Show inequalities on number lines and interpret ranges of values

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Interior Angles

Find the interior angles of polygons and the number of sides

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Interpreting Real-Life Graphs

Interpret real-life graphs including gradients, intercepts and modelling data

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Interpreting Venn Diagrams

Interpret Venn diagrams to find probabilities including union, intersection, complements and multi-set problems

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Kinematics Formulae

Use kinematics formulae (SUVAT) to solve motion problems with constant acceleration

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Lengths And Areas In Sectors

Calculate lengths and areas in circles including sectors, arcs and quarter circles

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Line Segments

Find midpoints of line segments using graphs and coordinates

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Linear Sequences

Find nth term rules and use linear sequences to generate or check terms

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Map Scales

Use scale factors to create scale drawings and find real lengths from maps

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Multiply And Divide Fractions

Multiply and divide fractions including mixed numbers and integers

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Operations

Apply BIDMAS/BODMAS/PEDMAS to calculations

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Percentage Change and Reverse Percentages

Percentage increase, decrease, profit and reverse percentages

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Pie Charts

Draw and interpret pie charts to find frequencies and data values

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Place Value

Understand place value, convert words and digits and form numbers from given digits

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Plans And Elevations

Draw and interpret plans and elevations including front, side and top views of 3D shapes

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Probability From Combined Events

Find probabilities from combined events using sample space diagrams and two-event outcomes

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Probability From Mutually Exclusive Events

Find probabilities using mutually exclusive events

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Product of Primes

Find product of prime factors and use them to find HCF and LCM

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Properties of 2D Shapes

Identify and name 2D shapes and find angles in kites and parallelograms

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Proportion Problems

Best value, recipes, exchange rates and worded problems

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Pyramids and Cones

Calculate surface area and volume of pyramids, cones, cylinders and hemispheres

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Pythagoras From Line Segment

Use Pythagoras’ theorem to find lengths of line segments from coordinates

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Pythagoras From Right-Angled Triangle

Use Pythagoras' theorem to find missing sides and recognise triples

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Rates

Solve rate problems including money, capacity, fuel consumption and filling prisms

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Rearranging Formulae

Rearrange formulae to change the subject of equations

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Rectangles, Parallelograms and Triangles

Calculate perimeter and area of rectangles, parallelograms and triangles

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Repeated Percentages

Calculate compound interest and depreciation

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Rounding

Round numbers to significant figures and decimal places

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Sampling

Understand sampling methods including random and stratified sampling and identify sampling issues

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Sharing Ratios

Share amounts using ratios including two-part and three-part ratios from totals

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Similar Triangles

Use similar triangles to find missing lengths using scale factors

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Simplifying Algebraic Indices

Simplify algebraic expressions using index laws including multiplication, division and missing powers

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Simplifying and Multiplying Ratios

Simplify ratios including decimals, different units and 3-part ratios

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Simultaneous Equations Different Coefficients And Solve Graphically

Solve simultaneous equations with different coefficients and graphically interpret solutions

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Simultaneous Equations Same/Similar Coefficients

Solve simultaneous equations with same or similar coefficients including rearranging

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Solve Equations With One Operation

Solve one-step equations using addition, subtraction, multiplication and division

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Solve Equations With Two Operations

Solve 2-step equations and inverse function machine problems

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Solve Linear Inequalities

Solve inequalities including 3-part and bracketed expressions

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Solve with Brackets and 4-Part

Solve equations involving brackets and four-term algebraic equations

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Solve x^2 + bx + c

Solve quadratic equations

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Solving Vector Problems

Solve vector problems using triangles and parallelograms

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Speed And Acceleration

Work with speed and acceleration including unit conversions and average speed problems

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Squares, Roots and Cubes

Work with squares, square roots and cubes

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Stem and Leaf Diagrams

Draw stem and leaf diagrams including decimals and back-to-back displays

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Substitution

Substitute values into expressions including positive and negative integers

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Time Series

Draw and interpret time series graphs including trends and seasonal patterns

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Trapeziums

Calculate area of trapezia and find missing sides using the trapezium formula

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Trigonometry From Right-Angled Triangle

Use sine, cosine and tangent to find angles and side lengths in triangles

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Two-Way Tables

Complete and interpret 2-way tables, timetables and distance tables

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Understanding Algebra

Simplify algebraic expressions including multiplying terms and collecting like terms

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Using Exact Trigonometric Values Non-Calculator

Recall values in trigonometry to find angles and side lengths in right-angled triangles

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Using Formulae

Write and interpret formulae including expressions and relationships between variables

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Volume and Surface Area of Prisms

Find volume and surface area of prisms including cuboids and composite shapes

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Working With Vectors

Work with vectors including addition, subtraction, scalar multiples and resultant vectors

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