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## Number Year 6 Block 2 Week 5 - factors and common factors

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Factors, common factors and the highest common factor for Year 6 from Block 2 - Week 5

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All lessons will fit in with White Rose planning.

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## 35 SATs Maths Questions And Answers With Worked Examples: Essential Maths Reasoning Practice For Year 6 [FREE]

## Anantha Anilkumar

For Year 6, the toughest of their SATs maths questions are the reasoning questions.

The answers are all taken from the answer sheets we provide for each test paper.

## Why The Focus On Maths Reasoning Questions For SATs?

## 35 SATs Maths Questions For KS2 Year 6 SATs

For the KS2 SATs tests, there are 7 types of maths reasoning question that are likely to come up:

- Single step worded problems
- Multiple step worded problems
- Problems involving measures
- Problems involving drawing
- Explanation questions
- Sequence questions
- Ordering questions

## SATs Maths Question Type 1: Single step worded problems

Have a look at the question below:

## Reasoning Question 1

Below are several more examples, taken from Third Space Learning’s Rapid Reasoning resources:

## Reasoning Question 2

## Reasoning Question 3

Pupils must calculate length by breadth by height, using the figures provided by the question.

## Reasoning Question 4

A simple enough calculation (doubling) if pupils are aware that the diameter is twice the radius.

## Reasoning Question 5

## SATs Maths Question Type 2: Multiple step worded problems

For example, consider this question from the 2019 KS2 maths SATs:

## Year 6 Rapid Reasoning (Weeks 1-6)

## SATs Maths Question Type 3: Problems involving measures

Take a look at this question from 2018’s Reasoning Paper 3:

## SATs Maths Question Type 4: Problems involving drawing

A lot of work for a single mark!

Answer : Any quadrilateral made by joining the dots that has 3 acute angles e.g. an arrowhead shape.

Answer : An accurately drawn angle.

The mark scheme here allows some room for error – “between 34 and 36 degrees” is acceptable .

Answer : a new triangle drawn with points at (2,1), (5,1) and (2,4).

## SATs Maths Question Type 5: Explanation questions

Further examples from TSL’s Rapid Reasoning resources:

Answer : No; 20/100 is the same as 20 divided by 100, which equals 0.2.

The mark scheme notes that vague answers or any answers with a mathematical error are unacceptable.

## SATs Maths Question Type 6: Sequence questions

Answer: 35 , 42, 49, 56 , 63, 70

Answer(s) : 5/8 and 2 1/8 (OR 17/8)

## SATs Maths Question Type 7: Ordering questions

A good example is this question from Paper 2 of the 2018 SATs:

Encourage pupils to convert all the fractions to one denominator value to make ordering easier.

Answer : (descending down the ‘Place’ column) 3rd, 5th, 2nd, 4th

## 7 Top Tips For Answering SATs Questions

- Get pupils in the habit for any practice paper of identifying what information they’re given in a question, and what they need to know to solve the problem. This helps them start to form the steps needed to find the solution.
- Ask pupils to ‘spot the maths’ in a question – which calculations or skills do they actually need to use to solve the problem? This is useful even for arithmetic questions – it’s no surprise how often children can misread a question.
- Check the units! Especially in questions involving multiple measures, it can be easy to give the answer in the wrong one. The answer box might give a specific unit of measurement, so pupils should work to give their answer in that unit.
- In a similar vein, remind pupils to convert different units of measurement in a question into the same unit to make calculations easier e.g. kg to g.
- Encourage numerical answers where possible. Even in explanation questions demonstrating the mathematical calculation is a better explanation than trying to write it out.
- The bar model can be a useful way of visualising many different types of questions, and might make it easier to spot the ‘steps’ needed for the solution.
- Check your working out! Even if the working is ultimately irrelevant to the question, you can lose marks if it is wrong.

## More SATs Questions and Maths Revision Resources

- 75 KS2 SATs Questions Reasoning and Arithmetic practice questions by topic – includes fractions, decimals, percentages; place value; addition and subtraction.
- 20 Year 6 SATs revision maths worksheets and more
- Third Space Learning’s recommended programme of maths revision for year 6
- KS2 SATs Papers 2016
- KS2 SATS Papers 2017
- KS2 SATs Papers 2018
- KS2 SATs Papers 2019
- KS2 SATs Paper 2022
- And for hundreds more free and premium maths resources join the Third Space Learning Mathshub .

## FREE KS2 maths SATs practice papers

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## Resources tagged with: NC Yr 6

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Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

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Are these statements always true, sometimes true or never true?

## Always, Sometimes or Never? Number

## Round the Three Dice

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This activity involves rounding four-digit numbers to the nearest thousand.

Use the information on these cards to draw the shape that is being described.

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## Next Size Up

The challenge for you is to make a string of six (or more!) graded cubes.

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If the answer's 2010, what could the question be?

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Can you find all the different triangles on these peg boards, and find their angles?

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The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

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Use the isometric grid paper to find the different polygons.

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Free time to spend with your family and friends

If you're struggling to clear up a mathematics problem, don't give up – try these tips and tricks.

I enjoy spending my free time with my family and friends.

## Factors and Multiples Worksheet

Factor pairs year 4 multiplication and division resource pack.

- Clear up mathematic problems
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- Solve math questions
- Clarify mathematic problems
- Reach support from expert professors

## Year 4 Factor Pairs Varied Fluency

## Accessibility links

## Using scale factors

Learn how to use scale factors to enlarge shapes using your multiplication and division knowledge.

If A is the original shape, what has happened to each side to create B ?

What is the scale factor of enlargement from shape A to B ?

Look at the relationship between the two measurements.

Use your times tables knowledge - what do you multiply 3 by to get 33?

Work out the original length of a side that had been enlarged by a scale factor of 7.

You already know what the result of the enlargement is (49 cm) and that the scale factor is 7.

Remember, when enlarging a shape, you multiply the original length by the scale factor:

You can work backwards and use the inverse operation which is division:

The original size of the length before enlargement is 7 cm .

See if you can put what you learned about scale factor to the test with this quiz.

Practise what you know about scale factors in this worksheet from Twinkl.

## Scale factors worksheet

Click here for the answer sheet

## There’s more to learn

## More Maths Lessons

Take a look at our other Year 6 and P7 Maths Lessons.

## 7 - 11 Maths

## Primary games

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## There's more to learn ...

## How to identify different polygons

Finding the perimeter of a rectilinear shape

## Draw and measure accurately

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## Common Factors Year 6 Four Operations Resource Pack

## Step 9: Common Factors Year 6 Resource Pack

## What's included in the pack?

- Common Factors Year 6 Teaching PowerPoint.
- Common Factors Year 6 Varied Fluency with answers.
- Common Factors Year 6 Reasoning and Problem Solving with answers.

## National Curriculum Objectives

Mathematics Year 6: (6C5) Identify common factors, common multiples and prime numbers

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Year 6 Multiplication and Division: Multiples, factors and prime numbers. This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Magic Multiplication Squares

Included are a range of year 6 maths problem-solving activities. ... 6 algebra percentages year 6 order of operations year 6 common factors year 6 read and write numbers to 10 000 000 . Use this comprehensive range of year 6 maths problem-solving, fluency and reasoning resources to help your little ones develop these important maths skills. ...

Year 6 Diving into Mastery: Step 7 Multiply up to a 4-Digit Number by a 2-Digit Number Teaching Pack Year 5 Diving into Mastery: Step 3 Factors Teaching Pack Year 6 Diving into Mastery: Division to Solve Problems Teaching Pack Year 6 Diving into Mastery: Step 3 Common Multiples Teaching Pack

Reasoning and Problem Solving Step 9: Common Factors National Curriculum Objectives: Mathematics Year 6: (6C5) Identify common factors, common multiples and prime

pdf, 406.94 KB Factors, common factors and the highest common factor for Year 6 from Block 2 - Week 5 Differentiated worksheets with reasoning and problem solving for the rest of this week can be found here: https://www.tes.com/teaching-resource/number-year-6-block-2-week-5-factors-multiples-primes-prime-factors-square-numbers-and-cubes-12181791

Reasoning and Problem Solving Step 6: Calculating Scale Factors National Curriculum Objectives: Mathematics Year 6: (6R3) Solve problems involving similar shapes where the scale factor is known or can be found Differentiation: Questions 1, 4 and 7 (Problem Solving) Developing Use given clues to identify the scale factor used. Involving whole ...

Factors, Multiple and Primes - Short Problems This is part of our collection of Short Problems. You may also be interested in our longer problems on Factors, Multiples and Primes. Printable worksheets containing selections of these problems are available here. Divisible Digits Age 11 to 14 Short Challenge Level

There are two steps to this problem, but both are multiplications. The first is to work out how much money is made per day - 92 x £15. This sum is then multiplied by 4 - the number of days - to get to the solution. Reasoning Question 3 Answer: 2,160 km Another two step problem. The first step is to work out 10% of 5400 km.

Find the free maths schemes and all related teaching resources for each of the year groups. View our Maths resources from White Rose Maths.

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding. Next Size Up Age 7 to 11 Challenge Level Primary Curriculum Linked The challenge for you is to make a string of six (or more!) graded cubes. It Was 2010! Age 5 to 11 Challenge Level

Download this high-quality year 6 teaching pack from Twinkl's 'Diving into Mastery' range that is compatible with the White Rose Maths small step 'Using Scale Factors'. This mastery resource also covers the year 6 national curriculum aim 'Solve problems involving similar shapes where the scale factor is known or can be found.'.

Year 4 Factor Pairs Reasoning and Problem Solving Questions 1, 4 and 7 (Problem Solving) Developing Find the missing number from a given factor pair and clues. Includes known facts of the 3, 4, 6 and 8 times

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. ... Take a look at our other Year 6 and P7 Maths Lessons. 7 - 11 ...

Common Factors Year 6 Reasoning and Problem Solving with answers. National Curriculum Objectives Mathematics Year 6: (6C5) Identify common factors, common multiples and prime numbers Differentiation: Varied Fluency Developing Questions to support understanding common factors, using knowledge of the 2, 3, 4, 5 and 10 times tables.

This PowerPoint provides a range of maths mastery activities based around the Year 6 objective "solve problems involving similar shapes where the scale factor is known or can be found." Scale factors can be among the trickier Maths topics to teach, which is why it's usually left until children are approaching the end of their primary education.