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I am a private tutor and freelance worksheet designer. I began working as a tutor for Adventure Education, and subsequently expanded my tutoring career. Currently, I have my own group of students. I worked on freelance basis with Master the Curriculum, writing lesson plans, PowerPoints and worksheets for teachers use. I tutor across all the ages, including preparation for SAT’s and 11+ entry exams- face to face and online.

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I am a private tutor and freelance worksheet designer. I began working as a tutor for Adventure Education, and subsequently expanded my tutoring career. Currently, I have my own group of students. I worked on freelance basis with Master the Curriculum, writing lesson plans, PowerPoints and worksheets for teachers use. I tutor across all the ages, including preparation for SAT’s and 11+ entry exams- face to face and online.
Square numbers Core
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Square numbers Core

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In this worksheet, children use counters and cubes to build square numbers, and also to decide whether or not a given number is square. They learn that square numbers are the result of multiplying a number by itself. Through their knowledge of times-tables and practice over time, they should be able to recognise the square numbers up to 12 Ă— 12. In this worksheet, they are introduced to notation for squared (2).
Multiples Core
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Multiples Core

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Children find common multiples of any pair of numbers. They do not need to be able to formally identify the lowest common multiple, but this idea can still be explored by considering the first common multiple of a pair of numbers. Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers.
Round to check answers Higher
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Round to check answers Higher

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Round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000 Add and subtract numbers mentally with increasingly large numbers Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy. Children should be familiar with the word “approximate”, and the degree of accuracy to which to round is a useful point for discussion. Generally, rounding to the nearest 100 for 3-digit numbers, the nearest 1,000 for 4-digit numbers. Ask, “What place value column should we look at to round the number to the nearest 10/100/1,000/10,000/100,000 “How could you use your estimates to check your answers?” " Is the actual answer going to be greater or less than your estimate? Why?” One worksheet with answers attached.
Mutiply and divide by 6 with extra reasoning sheet Higher
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Mutiply and divide by 6 with extra reasoning sheet Higher

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Children explore the fact that the 6 times-table is double the 3 times-table. Children who are confident in their times-tables can also explore the link between the 12 and 6 times-tables. They use the fact that multiplication is commutative to derive values for the 6 times-tables.
Multiples of 3 with increased challenges
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Multiples of 3 with increased challenges

3 Resources
These are three differentiated worksheets. Recall multiplication and division facts for multiplication tables up to 12 Ă— 12. Recognise and use factor pairs and commutativity in mental calculations. The worksheets increase in challenge. The Foundation worksheet is aimed at those working towards age expected. The Core worksheet is aimed at those working at age expected. The Higher worksheet is aimed at those working at greater depth. Watch for: Children may think that any number with 3 ones is a multiple of 3. An early mistake when counting in 3s will affect all subsequent multiples. Children may always begin counting from 3 to find a larger multiple of 3, when they could use the multiples they already know to find the new information. In the higher ability worksheet ( with three faces), children explore how to recognise if a number is a multiple of 3 by finding its digit sum: if the sum of the digits of a number is a multiple of 3, then the number itself is also a multiple of 3. Challenge by asking : How do you find the digit sum of a number? How can you tell if a number is a multiple of 3? Are the multiples of 3 odd or even? In the foundation worksheet (one face), children explore the link between counting in 3s and the 3 times-table to understand multiples of 3 in a range of contexts. They use number tracks and hundred squares to represent multiples of 3. Ask: What is the next multiple of 3? What is the multiple of 3 before? How many 3s are there in?
Word problems Core extra reasoning sheet
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Word problems Core extra reasoning sheet

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In this worksheet, children apply the strategies they have learned so far to solve addition and subtraction problems with more than one step. Children choose the operations needed at each step and then perform the calculations using an appropriate mental or written method. Problems are presented in word form. The use of bar models can help children to illustrate problems of this kind. While the models will not perform the calculation, they will help children to decide what operations are needed and why. Ask, What is the key information in the question? What can you work out straight away? How does this help you to answer the question? How can you represent this problem using a bar model? Which bar will be longer? Why? Do you need to add or subtract the numbers at this stage? How do you know?
Area of rectilinear shapes Core
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Area of rectilinear shapes Core

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Use this worksheet to help children develop their understanding of an area by counting the squares. The worksheet is aimed at those working at age expected. In this worksheet, children use the strategy of counting the number of squares inside a shape to find its area. Ask, What can you do to make sure you do not count a square twice? How can you make sure you do not miss a square? Does your knowledge of times-tables help you to find the area? Can you use arrays to find the area of any shape? Includes answer sheet.
Word problems Higher with extra reasoning sheet
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Word problems Higher with extra reasoning sheet

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In this worksheet, children apply the strategies they have learned so far to solve addition and subtraction problems with more than one step. Children choose the operations needed at each step and then perform the calculations using an appropriate mental or written method. Problems are presented in word form. The use of bar models can help children to illustrate problems of this kind. While the models will not perform the calculation, they will help children to decide what operations are needed and why. Ask, What is the key information in the question? What can you work out straight away? How does this help you to answer the question? How can you represent this problem using a bar model? Which bar will be longer? Why? Do you need to add or subtract the numbers at this stage? How do you know? With extra reasoning activity. Answer sheets included.
Area of rectilinear shapes Easy
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Area of rectilinear shapes Easy

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The worksheet is aimed at those working towards age expected. Use this worksheet to help children understand an area by counting the squares. The worksheet is aimed at those working towards the target. In this worksheet, children use the strategy of counting the number of squares inside a shape to find its area. Ask, What can you do to make sure you do not count a square twice? How can you make sure you do not miss a square? Does your knowledge of times-tables help you to find the area? Can you use arrays to find the area of any shape? Includes answer sheet.
Area of rectilinear shapes by counting squares  Higher
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Area of rectilinear shapes by counting squares Higher

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Children find the areas of shapes that include half squares. Marking or noting which squares they have already counted supports children’s accuracy when finding the area of complex shapes. Using arrays relating to area can be explored, but children are not expected to recognise the formula. What can you do if the squares are not full squares?
Multiply and divide by 6 with extra reasoning sheet. Core
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Multiply and divide by 6 with extra reasoning sheet. Core

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In this worksheet, children build on their knowledge of the 3 times-table to explore the 6 times-table. Children work with the 6 times-table and use the multiplication facts they know to find unknown facts. Children explore the fact that the 6 times-table is double the 3 times-table. Extra reasoning activity attached. Answer sheets attached.
Round to check answers Core with extra reasoning sheet
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Round to check answers Core with extra reasoning sheet

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In worksheet, children practise rounding in order to estimate the answers to both additions and subtractions. They also review mental strategies for estimating answers. Children should be familiar with the word “approximate”, and “estimate” and the degree of accuracy to which to round is a useful point for discussion. Generally, rounding to the nearest 100 for 3-digit numbers, the nearest 1,000 for 4-digit numbers and so on is appropriate. Extra reasoning sheet attached. Answer sheet attached.
Fractions Equivalent Higher
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Fractions Equivalent Higher

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In this worksheet, children stretch their understanding of equivalent fractions within 1, mainly through word problems. Children begin by finding equivalent fractions by splitting up models into smaller parts in a range of different ways. The key learning point is that as long as each of the existing parts are split equally into the same number of smaller parts, then the fractions will be equivalent. A common misconception is that children believe they can only split up existing parts into two equal sections, which limits the number of equivalent fractions that they will find. Children begin to use fraction walls to help create equivalent fraction families. Includes: Higher worksheet - with answer sheet
Fractions - 3 differentiated worksheets
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Fractions - 3 differentiated worksheets

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In these three worksheets, children develop their understanding of equivalent fractions within 1, mainly through exploring bar models. Children begin by finding equivalent fractions by splitting up models into smaller parts in a range of different ways. The key learning point is that as long as each of the existing parts are split equally into the same number of smaller parts, then the fractions will be equivalent. A common misconception is that children believe they can only split up existing parts into two equal sections, which limits the number of equivalent fractions that they will find. Children begin to use fraction walls to help create equivalent fraction families. Includes: Foundation worksheet - with answer sheet Core worksheet - with answer sheet Higher worksheet - with answer sheet
Fractions Core worksheet
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Fractions Core worksheet

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Use this worksheet to help children develop their understanding of comparing and ordering fractions with denominators that are multiples. If equivalent fractions are needed, then one denominator will be a multiple of the other or others. This worksheet includes a challenge to help deepen children’s understanding and problem-solving skills. Bar models, fraction walls and number lines will still be useful to help children to see the relative sizes of the fractions, especially when conversions are needed. Children should look at the set of fractions as a whole before deciding their approach, as comparing numerators could still be a better strategy for some sets of fractions. Core worksheet with answer sheet.
Fractions Equivalents Easy
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Fractions Equivalents Easy

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The worksheet is aimed at those working towards age expected. In this worksheet, children develop their understanding of equivalent fractions within 1, mainly through exploring bar models. Children begin by finding equivalent fractions by splitting up models into smaller parts in a range of different ways. The key learning point is that as long as each of the existing parts are split equally into the same number of smaller parts, then the fractions will be equivalent. A common misconception is that children believe they can only split up existing parts into two equal sections, which limits the number of equivalent fractions that they will find. Children begin to use fraction walls to help create equivalent fraction families. Includes: Foundation worksheet - with answer sheet
Fractions Equivalent Core worksheet
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Fractions Equivalent Core worksheet

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In this worksheet, children develop their understanding of equivalent fractions within 1, mainly through exploring bar models. Children begin by finding equivalent fractions by splitting up models into smaller parts in a range of different ways. The key learning point is that as long as each of the existing parts are split equally into the same number of smaller parts, then the fractions will be equivalent. A common misconception is that children believe they can only split up existing parts into two equal sections, which limits the number of equivalent fractions that they will find. Children begin to use fraction walls to help create equivalent fraction families. Includes: Core worksheet - with answer sheet
Fractions Comparing and Ordering  Easy
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Fractions Comparing and Ordering Easy

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The worksheet is aimed at those working towards age expected.Building on their knowledge of equivalent fractions, in this worksheet children compare fractions where the denominators are multiples of the other. Diagrams will help children to see which is the larger fraction and they should continue to use fraction walls and bar models until they are confident with the general rules. Answer sheet included.
Fraction Improper to Mixed Numbers differentiated worksheets
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Fraction Improper to Mixed Numbers differentiated worksheets

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The first worksheet is aimed at those working towards age expected. Children add fractions and convert the improper fractions to mixed numbers. Pictorial representations support their work. The second worksheet is aimed at those working at age expected. Children add fractions greater than 1 . They convert the improper fractions to mixed numbers. Includes some pictorial representations. The third worksheet is aimed at those working at greater depth. Children add fractions greater than 1 to a mixed number where the denominators are not direct multiples of each other and record the answers in their simplest form. They convert the improper fractions to mixed numbers. Answer sheets attached.
Fractions with increased challenges
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Fractions with increased challenges

3 Resources
Use these worksheets to help children develop their understanding of adding and subtracting fractions with the same denominator, and denominators that are multiples of the same number. The first worksheet is aimed at those working below age expected. The second worksheet is aimed at those working at age expected. The third worksheet is aimed at those working at greater depth. This worksheet includes a challenge to help deepen children’s understanding and problem-solving skills. Answer sheets attached.