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White Rose Maths Year 6: What Students Learn And The Resources To Support Them

Emma Johnson

Here we look at the White Rose Maths Year 6 scheme of learning, the topics it covers across the year and provide lots of sample questions and White Rose Maths resources for those following White Rose in Year 6.  

About White Rose Maths 

Year 6 autumn term, year 6 spring term, year 6 summer term, recommended white rose maths year 6 resources, place value year 6.

• Addition, subtraction, multiplication and division Year 6

Fractions Year 6

Fractions b year 6, converting units year 6, ratio year 6, algebra year 6, decimals year 6, fractions, decimals and percentages year 6, area, perimeter and volume year 6, read more: mean median mode, shape year 6, looking for more year 6 maths resources and guidance.

Year 6 Maths Test

Download this free Year 6 maths test to check that your class is on track with their Year 6 maths curriculum.

The White Rose Maths scheme of learning follows the national curriculum with a mastery approach to maths with a range of fluency, reasoning and problem solving elements. They also encourage concrete, pictorial and abstract representations to develop deep understanding of mathematical concepts. 

Read more: White Rose Maths

It is thought that approximately 70% of schools in the UK follow the White Rose Maths scheme and this is reflected in the thousands of young mathematicians Third Space Learning tutors every week. Our tutors are highly skilled maths and pedagogy experts, well trained in the language, representations and approach used by White Rose. They are therefore able to deliver a one to one lesson that feels familiar to students who are also used to White Rose. 

Throughout this article you’ll see example maths lesson slides and example questions from Third Space Learning’s Year 6 maths curriculum that exemplify best practice teaching to the White Rose Maths Year 6 scheme. 

We’ve also provided lots of links to White Rose Maths Year 6 resources that are suitable for use for each topic.In addition to the links provided, Third Space Learning also offers libraries for White Rose Maths Year 1 , White Rose Maths Year 2 , White Rose Maths Year 3 , White Rose Maths Year 4 , and White Rose Maths Year 5 . 

About the White Rose Maths Year 6 Scheme of Learning

The primary school White Rose Maths scheme of learning has gone through several iterations and versions up to the current version 3. The scheme of learning SOL is designed as guidance and it is not necessarily intended for each small step to take one lesson. As with all teaching, it is important that teachers adapt this SOL for their class/ pupils. 

Topics covered in Year 6 White Rose Maths scheme of learning work

The White Rose Maths Year 6 SOL outlines which topics are taught, and when, throughout the autumn, spring and summer terms of Year 6. 

The breakdown for Version 3 of the scheme of learning is as follows 

• Place value
• Addition, subtraction, multiplication and division
• Fractions A
• Fractions B
• Converting units of measurement
• Fractions, decimals and percentages
• Area, perimeter and volume
• Position and direction
• Themed projects, consolidation and problem solving

​​Third Space Learning has created several collections of White Rose Maths aligned resources for all primary year groups from early years through to Year 6. These resources can provide a different perspective on a topic and so help pupils spend the time needed to fully embed a concept.

Here is a summary of the different collections available for schools following Year 6 White Rose Maths, many of them are free resources and some are premium resources, all can be downloaded from our maths hub. Links to the topic specific versions are provided within each termly breakdown below:

Ready to go lesson slides

These ready-to-go lesson slides come in the form of editable powerpoints with related worksheets that are designed for everyday teaching. The lesson slides cover both version 2 of the White Rose scheme of learning (in blue) and version 3 of the SOL. They also include support slides that can be used to support pupils who need a little extra  pre/ post teaching to support their understanding.

Year 6 ready-to-go lesson slides

Code Crackers 

Our Code Crackers resources are aligned to the version 2 SOL. These are summative resources designed as a retrieval activity for the end of the place value block.

Maths Code Crackers Year 6

Pre and Post Diagnostic Questions 

These tests can be used before starting the place value block to assess gaps, and after teaching the place value block to identify progress. 

Diagnostic Assessments Year 6

Worked Examples

Pupils check over completed questions to identify errors (or identify correct answers). Pupils are encouraged to explain the errors they find, not just ‘mark’ work. These worked examples help to solidify understanding by getting the pupil to discuss errors and how to avoid them. 

Year 6 Worked Examples

Rapid Reasoning 

These reasoning problems go alongside our Fluent in Five resource. One question each week has a model answer so teachers can understand what the question is asking and how to solve it. 

Rapid Reasoning Year 6

All Kinds of Word Problems

Test your class’ problem solving skills with these place value word problems.

All Kinds of Word Problems Year 6

White Rose Maths Year 6 autumn term

In the autumn block, Year 6 focuses on place value; addition, subtraction, multiplication & division; fractions and converting units of measurement.

As  with all year groups, place value is the first block to be covered in the Autumn term. By Year 6, this is only a short unit of work; reading and writing numbers to 10,000,000 and exploring powers of 10.

Example year 6 place value questions

1. Write the following number in digits: twenty seven million, three hundred and forty eight thousand, five hundred and 6.

Answer: 27,348,506

2. Identify the value of each underlined digit

a) 7 3 ,640,328

b) 25, 6 04,713

c) 17,3 9 4,801

a) 3 million

Addition, subtraction , multiplication and division Year 6

Addition, subtraction, multiplication and division is the largest block of Year 6. Unlike the other year groups, the four operations are all covered in one block, rather than being separated into two separate blocks. By this stage, pupils are expected to be confident using formal written methods for addition and subtraction. Focus is on securing confidence with long multiplication and division, and applying this knowledge to solving more complex multi-step problems. Learners also build on their understanding of factors, multiples, prime, square and cube numbers.

Example year 6 addition, subtraction, multiplication and division questions

1. 196,877 ÷ 37 = 

Answer: 5,321

2. Which number is a factor of 24, but not a multiple of 8?

Answer: d) 12

Fractions in Year 6, are also split into two blocks, with both Block A and Block B being covered in the Autumn term. 

Fractions A in Year 6

Pupils continue to develop their understanding of equivalent fractions in Year  6; utilising this knowledge to be able to compare and order fractions, and add and subtract fractions and mixed numbers with different denominators.

Example year 6 fractions A questions

1. Order the following fractions from largest to smallest

\frac{1}{2}, \frac{2}{3}, \frac{9}{12}, \frac{5}{6}

Answer: \frac{5}{6}, \frac{9}{12}, \frac{2}{3}, \frac{1}{2}

2. 4\frac{3}{4} + 5\frac{4}{12}

Answer: 10\frac{1}{12}

In this second fractions block of Year 6, pupils build on the concepts introduced in Year 5; including multiplying and dividing fractions. They also continue to focus on calculating fractions of an amount

Example year 6 fractions B questions

1. 2\frac{1}{2} × 3\frac{1}{4} =

Answer: 6\frac{1}{8}

2. What is \frac{7}{8} of 336

Answer: 294

Converting units is a short topic at the end of the autumn term. In this block, pupils build on their understanding of converting metric measures and are introduced to converting between metric and imperial measures (For example, between miles and kilometres).

Example year 6 converting units questions

1. Write 7,532m as km

Answer: 7.532km

2. If 1 mile = 1.6km, how far in kilometres is 8 miles?

Answer: 12.8 miles

White Rose Maths Year 6 spring term

In the spring term term, Year 6 focuses on ratio; algebra; fractions, decimals & percentages; area, perimeter & volume and statistics

Pupils are introduced to ratio for the first time in Year 6. In this block pupils learn to use ratio language and the symbol. They also look at the connection between ratio and fractions and scale drawings.

Example year 6 ratio questions

1. Gemma is making a necklace. The ratio of purple beads to blue beads she uses is 3:1. If she uses 5 blue beads, how many purple beads does she use?

Answer: 15 purple beads

2. The ratio of counters was 4:1 (red:yellow). If there were 20 counters altogether. How many red and yellow counters were there?

Answer: 16 red and 4 yellow

Year 6 is the first time pupils are introduced to algebra. Students begin the block investigating 1-step and 2-step function machines, followed by forming expressions, formulae and equations. This progresses to solving 1-step, then 2-step equations. 

Example year 6 algebra questions

1. An x was input into the following function machine. What would be the output expression?

Answer: 2 x + 4

2. Solve the following equation: 2x + 2 = 12

Answer: x = 5

In Year 6, pupils focus on decimals in two blocks. Firstly as an independent unit, followed by a unit covering fractions, decimals and percentages. In this first block, understanding of place value within a decimal number is reinforced, followed by rounding and adding & subtracting decimals and finally building on knowledge from year 5 to multiply and divide by 10, 100 and 1000.

Example year 6 decimals questions

1. Round 3.765 to 2 decimal places

Answer: 3.77

2. Divide 32.7 by 10, 100 and 100

32.7 ÷ 10 = 3.27

32.74 ÷ 100 =0.327

32.74 ÷ 1000 =0.0327

In this block, pupils build upon the concepts learnt in Year 5; exploring and using equivalence between fractions, decimals and percentages. At this stage, students are also introduced to the concept of calculating a percentage of an amount. Initially pupils are introduced to  one-step problems, such as finding 10% of an amount. They then progress to solving multi-step problems, such as calculating 37% of an amount.

Example year 6 fractions, decimals and percentages questions

1. Write \frac{7}{25} as a decimal and a percentage

Answer: \frac{28}{100} = 0.28 = 28%

2. Use the < > or = symbol for each question below:

\frac{4}{10}   ______  45%

\frac{3}{4} ________ 70%

\frac{6}{20} ______  60%

\frac{4}{10}   < 45%

\frac{3}{4}   > 70%

\frac{6}{20} <  60%

In Year 6, pupils explore how to calculate the area of different shapes; including triangles and parallelograms. They also build on their knowledge of volume from Year 5; calculating, estimating and comparing volume of cubes and cuboids, using standard units, including cubic centimetres and cubic metres.

Example year 6 area, perimeter and volume questions

1. Calculate the volume of the cuboid below

Answer: 72cm ^{3}

2. Draw 2 different cuboids with a volume of 60cm ^{3}

Answer: 2 x 5 x 6 and 3 x 4 x 5

Statistics Year 6

In Year 6, pupils continue to focus on drawing and interpreting line graphs. They are also introduced to pie charts for the first time, learning how to interpret and construct them. Students also learn how to calculate and interpret the mean as an average.

Example year 6 statistics questions

1. A man walks up a hill. It takes him 15 minutes to reach 800m. He then stops for 10 minutes before walking back down. It takes him 10 minutes to reach the bottom of the hill. Plot the graph to show what happens.

White Rose Maths Year 6 summer term

In the summer term, Year 6 focuses on shape; position & direction, followed by themed projects, consolidation and problem solving.

Pupils build on their understanding of shape and properties of shape; drawing 2D shapes, using given dimensions. Students also learn to recognise, describe and build simple 3D shapes, including making nets. In Year 6, there is a significant focus on angles, with pupils learning how to calculate a range of angles, including: vertically opposite angles; angles in triangles, quadrilaterals and other polygons.

Example year 6 shape questions

1. Calculate the size of angle a below:

Answer: Angle a = 180°

2. A triangle has the angles: 45° and 65°. Calculate what the 3rd angle will be:

Answer: 70°

Position and direction Year 6

In Year 4 and 5, pupils learn to plot coordinates in the first quadrant. In Year 6, pupils progress to reading and plotting points in all four quadrants and solving problems with coordinates. Students also draw and translate simple shapes on the coordinate plane, and reflect them in the axes.

Example year 6 position and direction questions

1. On the grid below, plot the following coordinates. What shape do they make?

(4,3) (-2,3) (-2, -2) (3,-2)

They make a square

• Year 6 Maths Test (Year 6 content only)
• Year 6 Maths Questions (with answers)
• Year 6 Maths Sats Papers

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FREE Guide to Maths Mastery

All you need to know to successfully implement a mastery approach to mathematics in your primary school, at whatever stage of your journey.

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LbQ and White Rose Maths: an award-winning partnership

Dedicated resources to perfectly complement your White Rose lessons.

The main benefits of using LbQ alongside White Rose Maths

Ready-made mastery content

Based on the '5 Big Ideas' of maths mastery, our Question Sets allow teachers to deliver a coherent journey towards mastery.

Pupils progress automatically through the levels when they are ready, advancing from understanding to fluency, reasoning and problem solving.

To complement our mastery sets, you'll also have access to our full range of practice and assessment Question Sets. With just a few clicks, your high-quality, interactive lesson activity is ready to go.

Maximise your pupil's progress

By using LbQ regularly, whether that be as a key component of your curriculum implementation or purely for consolidation, you are sure to see increased pupil progress during the year.

Pupils receive personalised, teacher-authored feedback on their responses and can correct any mistakes in the moment.

Our scaffolded sets with automatic progression ensure all pupils are challenged at the appropriate level. Pupils are engaged - not by any gimmicks, but because they know they are taking control of their own learning.

Instant insights & intervention

Pupil responses are automatically marked by the platform, giving crucial real-time information to the teacher.

With our unique Results Matrix, LbQ teachers instantly know exactly how all pupils in the class are doing, meaning that they can intervene effectively before misconceptions become embedded.

Track pupil progress over time, building up a 'big data picture' of your class automatically. Keep the results forever, and use this data to inform your planning and intervention provision.

Try our White Rose Maths-aligned resources

Here's your chance to experience our interactive White Rose Maths resources first-hand. Any wrong answers given will reveal the unique feedback that pupils receive on the LbQ platform.

Y3 - NEW White Rose Maths: Length and Perimeter Block Review

An award-winning partnership.

“It's the perfect marriage; LbQ resources and powerful classroom platform aligned to White Rose Maths outstanding schemes-of-work. No marking, no photocopying... just great maths!”

Greg Adam, Managing Director Learning by Questions

“We're so excited to be partnering with Learning by Questions and we really feel that, together, we can make a difference.”

Caroline Hamilton, Managing Director White Rose Maths

How LbQ fits alongside White Rose Maths

Finding learning gaps.

Any of LbQ's sets can be used for pre or post-teach assessment, but we also have Block Reviews that include the relevant content for each White Rose Maths block. Use Block Reviews from an earlier year group to easily inform your planning for each block.

Dedicated White Rose Maths resources

As well as Block Reviews and schemes for White Rose Maths Y3-6, we also have dedicated sets to provide additional practice of the maths skills developed in the Y6 Summer Term projects.

Consolidation

Many teachers use LbQ sets at the end of a group of 2 or 3 related Small Steps to facilitate retrieval practice and to consolidate and extend the learning from previous lessons.

Intervention

Whether it's a short, same-day intervention or a more extended catch-up programme, LbQ has key resources that track right back to KS1. This allows teachers to fill in any important gaps in learning that are hindering the mastery of age-appropriate concepts.

Variety of implementation

Use LbQ to increase the variety of your curriculum delivery.

LbQ's questions are all unique and will complement the activities found in White Rose Maths presentations and workbooks.

Challenge and depth

All our mastery sets contain 10 unique reasoning and problem solving questions related to the lesson objective. Pupils will be challenged and will deepen their understanding of a concept whilst making links with other areas of mathematics.

Integrating LbQ into your planning

LbQ is highly flexible and can be used to enhance outcomes at various points during a learning sequence.

• After exploring concepts and teaching as usual, use one of our full maths mastery sets as the core practice component of a lesson.
• Use parts of our sets, or even individual questions from different sets, to target your questions precisely.
• Use our ready-made Block Reviews from previous year groups to easily gauge understanding of all pupils before new content is introduced.
• Use our shorter practice, reasoning and problem solving sets at other times of the day, for example, during registration periods.

“I've been particularly impressed with the mathematical tasks that embed the approach towards learning and follow the White Rose Maths schemes.”

George Gould, Year 6 Lead Teacher Jubilee Primary School, Hackney

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Question Sets

A Question Set is kinda what it says on the tin. It's a resource that contains between 10 and 40 questions based on a single National Curriculum learning objective.

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Year Six White Rose Supporting Resources

Supporting white rose maths hub.

Welcome to our Supporting White Rose Maths hub! Discover fun, engaging and teacher-approved resources that perfectly align with the White Rose Maths framework and the maths mastery approach.

Ever since White Rose Maths set out on their mission to help every child master maths, the organisation has taken the world of primary education by storm. Through resources, Schemes of Learning and yearly frameworks detailing small steps to progression, White Rose Maths has been helping teachers and parents turn children into confident young mathematicians. At the heart of White Rose Maths is  maths mastery , an approach that’s sparked a positive,  growth mindset  towards mathematics in teachers, parents and pupils.

Here at Master the Curriculum, we’re thrilled to see so many primary school teachers and parents using White Rose Maths to enhance their lessons and get children engaged and excited about maths. Whether you’re using White Rose Maths resources, following the Schemes of Learning and the small steps to progression and/or taking a mastery approach to mathematics, White Rose Maths can transform children’s learning experience and attitude towards numeracy.

That’s why we offer resources aligned with the White Rose Maths framework and the National Curriculum. Each of our resources is designed to help children work towards maths mastery and have fun while doing so — because enjoyment can make a world of difference to children’s engagement with education.

Year 6 Version 3.0 White Rose Maths Resources

Year 6 version 2.0 white rose maths resources, using white rose maths to help children master maths.

The White Rose Maths mastery approach has seen tremendous success in schools all over the UK, helping children learn with a can-do attitude and embrace maths challenges with a smile. Lessons and resources influenced by White Rose focus on three concepts that help children work towards mastery.

Problem Solving

Through problem-solving lessons and activities, children are encouraged to use their mathematical skills and understanding to solve problems unfamiliar to them.

Maths reasoning tasks get children thinking about number problems logically so they can reach conclusions, find solutions and decide which methods to use and why.

Fluency tasks help children strengthen their foundational knowledge. They practise applying their skills and understanding to different number problems with varying contexts and levels of complexity, while independently choosing the method they use to tackle number problems successfully. Fluency brings together problem-solving and reasoning.

Discover Resources That Follow the White Rose Maths Small Steps to Progression

Maths mastery is a journey and to help youngsters on their way, so White Rose Maths has created “Small Steps to Progression”. These small steps break down which learning objectives children need to master, and in what order, to gain a deep understanding of maths topics, and gradually develop their reasoning and problem-solving skills.

There are small steps for each year group, sorted into blocks of weeks. For example, block one for Year 1 covers what children should learn between weeks one to three of the Autumn term. By following these steps, you can make sure children gain all of the foundational skills and knowledge they need to progress onto more complex and challenging lessons.

To help you work through the small steps with your class or with your child, we offer weekly resources that align with them. When you browse our maths resources by year group, you’ll find weekly packs of worksheets, teaching slides and lesson plans. These packs make it easy for you to follow the White Rose steps, save time on lesson planning and find resources that perfectly match your lessons and where children are in terms of progress.

Why Use Our White Rose Style Resources?

Designed with Mastery in Mind — We offer a huge range of primary maths resources that combine fluency, reasoning and problem-solving activities to help children on their journey to maths mastery.

Follow Clear Learning Objectives  — Each one of our resources is designed to help children meet learning objectives that align with the White Rose Small Steps. You’ll have peace of mind knowing our resources suit your lessons perfectly and will help children build on their maths skills and understanding.

Assess Children’s Progress — We offer assessments and mini-assessments to help you check children have a firm understanding of the steps you’ve already covered. This way, you can make sure your class is ready to move on to more advance lessons.

Fun and Engaging Resources  — Fun is at the heart of our White Rose style resources. Our learning materials engage children in maths and get them excited about learning with fun visual imagery, creative contexts and imaginative maths problems.

Explore Topics in Depth with Differentiated Resources  — Our resources are differentiated by complexity so children can explore topics in-depth and improve their fluency.

Free and Premium Membership Options  — We want to make sure everyone has access to high-quality, White Rose style resources. So we offer hundreds of free resources you can download instantly with a free membership. Or if you’d rather have unlimited access to all of our resources, you can sign up for a premium membership.

The Benefits of White Rose Maths for Schools: Transforming Lessons with a Mastery Approach

Help all children master maths at a similar pace.

White Rose inspired lessons meet the needs of all children and focus on helping them keep up, not catch up. The small steps for progression make sure all pupils master the same learning objectives and progress at a similar pace. No children should fall behind, and none should speed through content ahead of their classmates. Instead, children of all levels of attainment get the support they need to grasp topics and explore concepts in depth. Only once the whole class has a good understanding of one learning objective do teachers move onto more advanced lessons.

Build Children’s Confidence and Competence in Maths

Every teacher wants to see their class excel in all subjects and White Rose Maths resources and frameworks can help whole classes work towards maths mastery. A big part of the mastery approach is teaching children to adopt a growth mindset. Maths lessons should show pupils that anyone can become a master of maths if they put in the effort and get the support they need to succeed.

When children stop believing that they can’t do maths and adopt a more positive, proactive attitude to this subject, that’s when they can reach their full mathematical potential. They’re likely to feel more confident and engaged in lessons, and the more they embrace maths challenges, the easier it will be for them to develop skills and understanding.

Streamline Lesson Preparation

White Rose Maths takes a weight off your shoulders when it comes to lesson planning. With Schemes of Learning, yearly frameworks and detailed small steps to progression, you won’t have to worry about planning what to cover in lessons each day, week, month and term.

The clear learning objectives outlined in the small steps to progression also make it easy for you to find resources to complement lessons and help children progress.

Enhance Your Maths Lessons with White Rose Maths Resources

Explore our primary maths resources by year group and discover a wide range of resources that support White Rose learning and the small steps to progression. Enhance your lessons, make learning fun and teach for mastery with maths worksheets, teaching slides, lesson plans, reasoning booklets and more.

White Rose Maths for Parents: Get Children Engaged in Learning at Home

The White Rose approach isn’t just for teachers to use in the classroom. You can also use  White Rose Maths in your home learning  to help your little one improve their confidence in mathematics. Practice makes perfect, and if your children are learning at home as well as at school, they’ll have a chance to delve deep into maths topics and develop a firmer understanding of the lessons covered in school. This knowledge and understanding can pave the way for more advanced maths.

White Rose Maths also makes it easier for you to support your child with their home learning tasks. As a busy parent, you don’t want to spend time trying to figure out exactly what children are learning at school, and you don’t have the time to learn topics for yourself so you can guide your child through it. You can use the White Rose Maths  small steps  as a schedule for your home learning sessions and you can find endless White Rose resources right here on the Master the Curriculum website. As homework will often be fluency or consolidation tasks, you won’t have to guide your child through number problems.

Help Little Ones Master Maths with Our White Rose Maths Resources

We are currently updating the 3.0 table. If you cannot find the resources needed, please use the 2.0 table.

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White Rose Maths Reasoning & Problem Solving Kit

Product code: 708-ma10155, product actions.

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Why you'll love this product

• The Reasoning and Problem Solving Kit has been developed in collaboration with White Rose Maths, and supports their programme.
• The Kit is suitable to teach and strengthen reasoning and problem solving skills in KS1 and KS2.
• This kit is a whole-school solution, with resources for each year.

White Rose Maths Reasoning & Problem Solving Kit

Help develop reasoning and problem solving skills with this set of carefully chosen resources, created in collaboration with White Rose Maths.

This set of maths resources is a whole school solution, with resources for each year.

Read more about our fantastic White Rose Maths Kits here.

Product contents

• 1 x Dip n Pick Problem Solving Cards Group Set
• 1 x Graded Problem Solving Cards Group Set
• 1 x Making Maths Connections Activity Cards Group Set
• 1 x Bar Model Teacher Version
• 1 x Tray Lid
• 1 x Gratnell Storage Tray

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Reasoning and Problem Solving Questions Collection - KS1 and KS2

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

Last updated

10 March 2023

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These booklets each contain over 40 reasoning and problem solving questions suitable for KS1, KS2 and KS3 classes. These are the questions that we have been putting out each day in March 2016 on Twitter in the run up to SATS.

The answers are provided with some simple notes at the back of the booklet and for some problems supplementary questions and variation has been provided.

As always we welcome any feedback on the work we are doing and the materials that we are releasing. Thank you for taking an interest in our work. The White Rose Maths Hub Team

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graceamfo18

A very good and engaging way to teach mastery of maths. Thank you for sharing

thank you for sharing, this is really good

Thanks for sharing.

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