Key Stage 3 Maths - Lesson Objectives, Keywords and Resources

Free numeracy worksheets.

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Year 7 | Year 8 | Year 9

A bunch of FREE numeracy worksheets to download and print

Basic multiplication and division

Tables 1 | Tables 2 | Tables 2

Equivalent fractions, simplification and fractions of a quantity.

Fractions 1 | Fractions 2 | Fractions 3 | Fractions 1 |

Percentages

Percentages 1 | Percentages 2 | Percentages 3 | Percentages 4 | Percentages 5 | Percentages 6 | Percentages 7 | Percentages 8

BODMAS 1 | BODMAS 2

Never ending sums

Numeracy 1 | Numeracy 2 | Numeracy 3 | Numeracy 4

Expansions and Factorising

Expansions 1 | Expansions 2 | Factorising 1

Negative Numbers

Negative 1 | Negative 2 | Negative 3 | Negative 4

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ks3 maths worksheets year 7

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ks3 maths worksheets year 7

Free maths worksheets and resources for every part of the KS3 curriculum

ks3 maths worksheets year 7

An entire breakdown of the National curriculum in England: mathematics programmes of study for Year 7-9 with worksheets, activities, ideas, PowerPoints and more for every element…

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Maths homework worksheets

ks3 maths worksheets year 7

Help students practise their maths skills with these free maths homework question packs for Year 7 , Year 8 , Year 9 and GCSE maths .

ks3 maths worksheets year 7

You can also download 100+ problem-solving questions in our KS3 maths worksheets pack from White Rose Maths.

ks3 maths worksheets year 7

Pupils should be taught to:

Understand and use place value for decimals, measures and integers of any size

  • Place value problem cards for decimals

Order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, ≠, <, >, ≤, ≥

  • Negative numbers worksheet – KS3 maths resource with answers
  • Problem solving with negative numbers worksheets

Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative

  • Adding fractions with the same denominator
  • Adding and subtracting fractions
  • Multiplying and dividing fractions codebreakers
  • Multiplying and dividing fractions PowerPoint

Use conventional notation for the priority of operations, including brackets, powers, roots and reciprocals

  • BODMAS questions for KS3 maths – Order of operations worksheet with answers
  • BIDMAS first steps worksheets
  • Order of operations (BIDMAS)

Recognise and use relationships between operations including inverse operations

Use integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 and distinguish between exact representations of roots and their decimal approximations

  • Finding powers and roots lesson

Interpret and compare numbers in standard form A x 10n 1≤A<10, where n is a positive or negative integer or zero

  • Standard form activities
  • Codebreaker – Standard form

Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8)

  • Ordering fractions and decimals

Define percentage as ‘number of parts per hundred’, interpret percentages and one quantity as a percentage of another, compare two quantities using percentages, and work with percentages greater than 100%

  • Percentage questions – KS3 maths worksheet with answers
  • Non-calculator method percentages lesson and worksheets

Interpret fractions and percentages as operators

  • Fractions, decimals and percents worksheets – KS3 maths resource with answers
  • Fractions, decimals and percentages

Use standard units of mass, length, time, money and other measures, including with decimal quantities

  • Advert maths – Units of measurement worksheet

Round numbers and measures to an appropriate degree of accuracy [for example, to a number of decimal places or significant figures]

  • Rounding and approximation

Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a<x≤b

  • Rounding, estimation, standard form grades F to A

Use a calculator and other technologies to calculate results accurately and then interpret them appropriately

  • Calculator skills revision lesson
  • Virtual Casio calculator button explanations for IWB

Use and interpret algebraic notation, including: ab in place of a × b; 3y in place of y + y + y and 3 × y; a2 in place of a × a; a3 in place of a × a × a; a2b in place of a × a × b; a/b in place of a ÷ b; coefficients written as fractions rather than as decimals; brackets

  • Writing formulae

Substitute numerical values into formulae and expressions, including scientific formulae

  • Simplifying expressions and formulae PowerPoint

Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms and factors

  • Algebraic expressions

Simplify and manipulate algebraic expressions to maintain equivalence by: collecting like terms; multiplying a single term over a bracket; taking out common factors; expanding products of two or more binomials

  • Simplifying expressions codebreaker
  • Algebraic expressions spiders

Understand and use standard mathematical formulae; rearrange formulae to change the subject

  • Algebraic fractions and simplifying
  • Simplify algebraic fractions worksheet and answers

Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs

  • Simultaneous equations and graphs lesson

Use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement)

  • Solving equations matching activities
  • Solving linear equations worksheets from Level 4-7

Work with coordinates in all four quadrants

  • Plotting and identifying coordinates in all four quadrants worksheet

Recognise, sketch and produce graphs of linear and quadratic functions of one variable with appropriate scaling, using equations in x and y and the Cartesian plane

  • Sketching quadratic graphs worksheet

Interpret mathematical relationships both algebraically and graphically

  • Solving simultaneous equations graphically worksheet

Reduce a given linear equation in two variables to the standard form y = mx + c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically

  • Introduction lesson to straight line graphs, linear functions and y=mx+c

Use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations

  • Simultaneous equations graphically PowerPoint and worksheet

Find approximate solutions to contextual problems from given graphs of a variety of functions, including piece-wise linear, exponential and reciprocal graphs

  • ‘Defuse the Bomb’ linear and non-linear graphs worksheets

Generate terms of a sequence from either a term-to-term or a position-to-term rule

  • Graph sequences – grades F to C
  • Introduction to sequences

Recognise arithmetic sequences and find the nth term

  • Nth term questions – KS3/4 linear sequences worksheet with answers
  • Graph sequences – Grades F to C
  • Arithmetic sequences worksheets

Recognise geometric sequences and appreciate other sequences that arise

  • Advanced sequences – Linear, geometric, quadratic and sequence proofs

Ratio, proportion and rates of change

ks3 maths worksheets year 7

Change freely between related standard units [for example time, length, area, volume/capacity, mass]

  • Ratio and proportion

Use scale factors, scale diagrams and maps

  • Enlargement with negative scale factors
  • Similar shapes volume worksheet using scale factors

Express one quantity as a fraction of another, where the fraction is less than 1 and greater than 1

  • Fractions of amounts worksheet

Use ratio notation, including reduction to simplest form

  • Simplifying ratios worksheet

Divide a given quantity into two parts in a given part:part or part:whole ratio; express the division of a quantity into two parts as a ratio

  • Ratio worksheet
  • Simplifying ratios treasure hunt

Understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fraction

  • Three multiplicative relationships lessons on ratio problems

Relate the language of ratios and the associated calculations to the arithmetic of fractions and to linear functions

  • Fraction, ratio and percentage reasoning tasks

Solve problems involving percentage change, including: percentage increase, decrease and original value problems and simple interest in financial mathematics

  • Percentage changes in football wages worksheet
  • Homes Under the Hammer percentage change worksheet
  • Storage Hunters percentage change (profit/loss) worksheet

Solve problems involving direct and inverse proportion, including graphical and algebraic representations

Use compound units such as speed, unit pricing and density to solve problems

  • Compound measures

Geometry and measures

Derive and apply formulae to calculate and solve problems involving: perimeter and area of triangles, parallelograms, trapezia, volume of cuboids (including cubes) and other prisms (including cylinders)

  • Area and perimeter codebreakers Worksheets
  • Area and perimeter

Calculate and solve problems involving: perimeters of 2-D shapes (including circles), areas of circles and composite shapes

  • Area of a circle worksheets and PowerPoint with detailed solutions

Draw and measure line segments and angles in geometric figures, including interpreting scale drawings

  • Simple construction worksheet for drawing and measuring line segments

Derive and use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); recognise and use the perpendicular distance from a point to a line as the shortest distance to the line

  • The Walking Dead Season 5 shape construction activity

Describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetric

  • Reflective and rotational symmetry activity with company logos

Use the standard conventions for labelling the sides and angles of triangle ABC, and know and use the criteria for congruence of triangles

  • Properties of triangles and quadrilaterals worksheet

Derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies

  • Properties of quadrilaterals PowerPoint

Identify properties of, and describe the results of, translations, rotations and reflections applied to given figures

  • Transformations

Identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids

Apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles

  • Angles on a straight line worksheet

Understand and use the relationship between parallel lines and alternate and corresponding angles

  • Angles in parallel lines worksheet – KS3 maths resource with answers
  • Angles in parallel lines – comparing methods
  • Angles of Parallel Lines PowerPoint

Derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon, and to derive properties of regular polygons

  • Angles in triangles treasure hunt activity

Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras’ Theorem, and use known results to obtain simple proofs

  • Pythagoras’ theorem PRET homework worksheet
  • Pythagoras’ theorem and coordinates lesson
  • Pythagoras’ theorem questions

Use Pythagoras’ Theorem and trigonometric ratios in similar triangles to solve problems involving right-angled triangles

  • Introductory trigonometry lesson PowerPoint
  • Trigonometry levelled activity
  • Trigonometry in right-angled triangles matching activities

Use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D

  • Advanced trigonometry for KS3 and GCSE maths – 3D trigonometry, Pythagoras and sine/cosine rules

Interpret mathematical relationships both algebraically and geometrically.

  • Problem solving question of the day compilation worksheets

Probability

ks3 maths worksheets year 7

Record, describe and analyse the frequency of outcomes of simple probability experiments involving randomness, fairness, equally and unequally likely outcomes, using appropriate language and the 0-1 probability scale

  • Introduction to probability and probability scale lesson
  • Probability full lesson PowerPoint and worksheets

Understand that the probabilities of all possible outcomes sum to 1

  • Probability lesson

Enumerate sets and unions/intersections of sets systematically, using tables, grids and Venn diagrams

  • S1 Chapter 5 probability lesson

Generate theoretical sample spaces for single and combined events with equally likely, mutually exclusive outcomes and use these to calculate theoretical probabilities.

  • Sample spaces and calculating probabilities worksheet

Describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving discrete, continuous and grouped data; and appropriate measures of central tendency (mean, mode, median) and spread (range, consideration of outliers)

  • Find the median and mean averages and range worksheet
  • Average and range codebreaker activities

Construct and interpret appropriate tables, charts, and diagrams, including frequency tables, bar charts, pie charts, and pictograms for categorical data, and vertical line (or bar) charts for ungrouped and grouped numerical data

  • Interpreting statistical graphs
  • Calculating, displaying and interpreting statistics tutorials

Describe simple mathematical relationships between two variables (bivariate data) in observational and experimental contexts and illustrate using scatter graphs.

  • Scatter diagrams
  • Plotting scatter graphs PowerPoint and worksheet
  • Correlation street draw and use scatter graphs activity

Browse more KS3 maths games and lesson ideas.

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ks3 maths worksheets year 7

Year 7 Maths Worksheets

Maths Worksheets / Year 7 Maths Worksheets

A superb range of maths worksheets for secondary school children in year 7 (aged 11-12). Cazoom Maths is a trusted provider of maths worksheets for secondary school children, and this set of maths worksheets is ideal for students in the first year of high school. Our mathematics resources are perfect for use in the classroom or for additional home learning, and are excellent Year 7 maths practice material. Our maths worksheets are used by over 30,000 teachers, parents and schools around the world and we are a Times Educational Supplement recommended resource for helping key stage 3 and key stage 4 students learn mathematics.

Get 30 of our favourite Maths worksheets in your inbox now!

Maths worksheets for year 7 students.

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Try some free sample year 7 maths worksheets

Year 7 Solving Linear Equations Maths Worksheet

Outstanding Year 7 Maths Worksheets

  • Separate answers are included to make marking easy and quick.
  • Over 350 pages of the highest quality year 7 maths worksheets. Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues.
  • Single user licence for parents or teachers. Separate school licences are also available.
  • Single digital pdf download, with worksheets organised into high level chapters of Algebra, Statistics, Number and Geometry, and further by subtopics. See below for the extensive range of sheets included.

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List of Topics

Our Year 7 printable maths worksheets cover the full range of topics. See below the list of topics covered. All our maths worksheets can be accessed here .

  • Expanding Brackets
  • Factorising
  • Inequalities
  • Linear Functions
  • Real Life Graphs
  • Rearranging Equations
  • Simplification
  • Solving Equations
  • Substitution
  • Calculator Methods
  • Fractions Decimals Percentages
  • Mental Methods
  • Negative Numbers
  • Percentages
  • Place Value
  • Types of Number
  • Written Methods
  • Area and Perimeter
  • Bearings Scale and Loci
  • Compound Measures
  • Constructions
  • Coordinates
  • Lines and Angles
  • Similarity and Congruence
  • Transformations
  • Volume and Surface Area
  • Histograms and Frequency Polygons
  • Mean Median Mode
  • Pie Charts and Bar Charts
  • Probability
  • Scatter Graphs
  • Stem-and-Leaf Diagrams
  • Two-Way Tables and Pictograms

Get 20 FREE MATHS WORKSHEETS

Fill out the form below to get 20 FREE maths worksheets!

Resources you can trust

Year 7 transition activity mats

Year 7 transition activity mats - KS3 maths worksheets

These printable maths worksheets make great starters or refresher activities for reinforcing and practising maths skills at key stage 3. Each activity mat covers the key topics of algebra, number, geometry, statistics and probability. Answers are included.

What's included?

  • Algebra activity mat - Includes questions on solving and forming algebraic expressions and linear equations and applying knowledge of angles, perimeter and sequences.
  • Number activity mat - Includes questions on fractions, decimals and percentages, inequalities, place value and order of operations.
  • Geometry activity mat - Includes questions on triangles, quadrilaterals and polygons, parallel lines and reflex angles.
  • Statistics activity mat - Includes questions that involve interpreting bar graphs, Venn diagrams and pie charts to practise their data and graph skills.
  • Probability activity mat - Includes a range of word problems that involve calculating probabilities in different scenarios and using a probability scale.

How to use the activity mats

These printable activity mats can be used in a range of ways to support new Year 7s as they transition into secondary school. Use them as lesson starters, extension activities or set for home learning. The maths questions in these activity mats have been designed for transition but are great to use with students throughout key stage 3.

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Resources you might like.

Year 7 - White Rose Maths

Year 7 - maths , oup - home learning packs - ks3, year 7 - maths.

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KS3 Number Patterns & Sequence (MEP– Yr 7– Unit 7)

KS3 Number Patterns & Sequence (MEP– Yr 7– Unit 7)

Subject: Mathematics

Age range: 11-14

Resource type: Lesson (complete)

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Last updated

2 November 2013

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    ks3 maths worksheets year 7

  4. Key Stage 3, Year 7 and 8, maths worksheets

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  6. Ks3 Number Sequences Worksheets

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  3. MELC BASED SCIENCE LESSONS With Activity/Worksheets GRADE 7(QUARTER 1) |Dexia Tv

  4. Properties of Metals- Key Stage Three (KS3) Chemistry Revision (Years 7, 8 & 9)

  5. Order Numbers KS3 Maths || Diamond Education Hub

  6. Math Worksheets for Grade-1/ Math Worksheet for 6-7 years kids/Math Worksheet Idea for HOMESCHOOLING

COMMENTS

  1. Free Numeracy Worksheets

    Year 7 | Year 8 | Year 9 A bunch of FREE numeracy worksheets to download and print Basic multiplication and division Tables 1 | Tables 2 | Tables 2 Equivalent fractions, simplification and fractions of a quantity. Fractions 1 | Fractions 2 | Fractions 3 | Fractions 1 | Percentages

  2. KS3 Maths Worksheets

    Our KS3 printable maths worksheets cover the full range of topics. See below the list of topics covered. All our maths worksheets can be accessed here. Algebra BODMAS Expanding Brackets Factorising Indices Inequalities Linear Functions Real Life Graphs Rearranging Equations Sequences Simplification Solving Equations

  3. KS3 Maths

    7 Guides Standard index form 2 Guides Distance, speed and time 2 Guides Ratio, proportion and rates of change Ratio 5 Guides Direct and inverse proportion 4 Guides Algebra Expressions and...

  4. KS3 Maths

    Complete KS3 Maths Year 7 & 8 Course Overview Hello there, Pupils, Parents and Carers! What Students Will Learn and How to Support Them The Maths Society has prepared a series of maths lessons for Year 7 & 8.

  5. KS3 Maths Worksheets Online

    Access 1000s of interactive resources and create an account to track your child's progress with KS3 maths worksheets. Support your child with maths topics such as fractions, algebra, geometry, time, money and more. Aligned to the UK National Curriculum and designed for fun and engagement.

  6. KS3 Maths Revision

    1. Numbers Topic Name Place Value Ordering Numbers Adding and Subracting Multiplying and Dividing by 10, 100, 1000 Long Multiplication Long Division Decimals - Addition, Subtraction, Division and Multiplication BIDMAS Negative Numbers Types of Numbers Prime Factors LCM HCF Fractions Basics Adding and Subtracting Fractions

  7. Maths Worksheets

    Our maths worksheets for kids cover the UK secondary school curriculum, and provide the perfect opportunity for children to put their pencils to paper and have fun with these maths worksheets. Our maths resources are used by over 50,000 teachers, parents and schools, and we are a Times Educational Supplement recommended resource for helping key ...

  8. Free maths worksheets and resources for every part of the KS3

    Help students practise their maths skills with these free maths homework question packs for Year 7, Year 8, Year 9 and GCSE maths. You can also download 100+ problem-solving questions in our KS3 maths worksheets pack from White Rose Maths. Number Pupils should be taught to:

  9. Year 7 Maths Worksheets

    Our Year 7 printable maths worksheets cover the full range of topics. See below the list of topics covered. All our maths worksheets can be accessed here. Algebra BODMAS Expanding Brackets Factorising Indices Inequalities Linear Functions Real Life Graphs Rearranging Equations Sequences Simplification Solving Equations

  10. KS3 Maths Worksheets

    KS3 Maths Worksheets Practice for your KS3 Maths Exams using the MME Key Stage 3 Maths worksheets by topic. Find worksheets, along with corresponding mark schemes, for each topic. 1. Numbers Worksheet Name Ordering Numbers Worksheet Question Worksheet Answers Long Division Worksheet Question Worksheet Answers Long Multiplication Worksheet Question

  11. KS3 maths teaching resources

    Printable worksheets and PowerPoints for years 7-9. This collection of downloadable teaching resources will support and enhance your maths lesson plans for year groups 7, 8 and 9. Here you'll find tried and tested maths worksheets, PowerPoints, teaching ideas and activities designed to introduce, practise and consolidate all aspects of the KS3 ...

  12. Year 7 maths worksheets

    Year 7 maths worksheets | KS3 maths activities | Teachit Year 7 transition activity mats Last updated: 15/11/2023 Contributor: Teachit Author Main Subject Maths Key stage KS3 Category Maths: Algebra Inside Includes answers Resource type Worksheet

  13. Year 7 Maths Worksheets

    Our year 7 maths worksheets will help introduce your child to topics in preparation for their year 7 maths exams and tests. Our addition worksheets and subtraction worksheets are perfect as an introduction to secondary school maths and to prepare for year 7 maths tests.

  14. 1,075 Top "Year 7 Maths Worksheets" Teaching Resources curated ...

    Fractions of Amounts - Sports League Challenge. Explore more than 1,072 "Year 7 Maths Worksheets" resources for teachers, parents and pupils as well as related resources on "Year 7 Maths". Instant access to inspirational lesson plans, schemes of work, assessment, interactive activities, resource packs, PowerPoints, teaching ideas at Twinkl!

  15. PARKFIELDS SCHOOL

    Year 7 - White Rose Maths. 1 Understand Representations Of Fractions. [pdf 903KB] 2 Convert Between Mixed Numbers And Fractions. [pdf 937KB] 3 Add And Subtract Unit Fractions With The Same Denominator. [pdf 894KB]

  16. KS3 Maths

    Year 7 Maths Worksheets/Resources. Whilst covering all the topics required at this level, you'll also find a range of transition resources - like this excellent booklet - to ease your learners in on their journey from KS2-KS3 Maths. Year 8 Maths Worksheets/Resources

  17. Year 7 Maths Scheme of Work

    Solidify your macro- and micro-plans for your KS3 classes with some help from Beyond and this Year 7 Maths Scheme of Work. This sample curriculum framework based on the Department for Education's guidelines can be used to structure your blocks of Maths lessons in your Year 7 teaching. It offers a structured breakdown to cover the following: Autumn Term: Place Value Understand the value of ...

  18. KS3 Year 7 Maths and English Progress Tests

    Year 7 Progress Maths Tests Set 1 Written Paper 1 Question Paper | Mark Scheme Written Paper 2 Question Paper | Mark Scheme Mental Maths Paper 1 Question Paper | Mark Scheme Mental Maths Paper 2 Question Paper | Mark Scheme Set 2 Written Paper 1 Question Paper | Mark Scheme Written Paper 2 Question Paper | Mark Scheme Mental Maths Paper 1

  19. Year 7 Transition Activity Mats

    The wonderful Year 7 Transition Activity Mats set provides a refresher of key points learnt at KS2 Maths level so that your pupils are ready to make the Year 7 transition.Each mat is user-friendly and contains a good selection of KS2 Maths content that will help to consolidate learning in preparation for life in KS3 Maths. They offer engaging ways to reinforce knowledge learnt in Primary ...

  20. Year 7 Baseline Maths Test Silver

    This Year 7 baseline maths test examins Year 7 Maths pupils on the curriculum covered in Year 6. An excellent Year 7 baseline maths test in pdf format, which is suitable for all new KS3 Maths pupils. Ideal for those making the transition from Year 6 to check if maths intervention is needed before starting the Year 7 Maths curriculum. The above ...

  21. KS3 Arithmetic Revision (MEP

    Worksheets, Activities and Lesson Plans. The topic of Arithmetic Revision from the Year 7 book of the Mathematics Enhancement Program. For information about these re. International; Resources; ... KS3 Arithmetic Revision (MEP - Year 7 - Unit 12) Subject: Mathematics. Age range: 11-14. Resource type: Lesson (complete)

  22. KS3 Number Patterns & Sequence (MEP- Yr 7- Unit 7)

    KS3 Number Patterns & Sequence (MEP- Yr 7- Unit 7) Subject: Mathematics Age range: 11-14 Resource type: Lesson (complete) File previews pdf, 64.75 KB pdf, 19.13 KB pdf, 18.74 KB pdf, 10.44 KB pdf, 33.86 KB pdf, 6.21 KB pdf, 21.74 KB pdf, 35.28 KB pdf, 20.31 KB pdf, 10.28 KB Maths worksheets and activities.