Topics in 11+:

7NPV–3: Recognise and use square numbers and cube numbers, including calculating and applying them in problem-solving contexts.
Strengthens understanding of number pro...

7A–3: Simplify algebraic expressions by collecting like terms, combining coefficients of variables and constants where appropriate.
Strengthens algebraic manipulation ...

5MD–3: Multiply any whole number with up to 4 digits by any one-digit number using a formal written method.
Strengthens computational skills, ensuring accuracy and eff...

6NPV–2: Recognise the place value of each digit in numbers up to 10 million, including decimal fractions, and compose and decompose numbers up to 10 million using standar...

5NPV–5: Convert between units of measure, including using common decimals and fractions.
Teaches practical application of decimals and fractions, essential for real-wo...

5NPV–4: Divide 1 into 2, 4, 5 and 10 equal parts, and read scales/number lines marked in units of 1 with 2, 4, 5 and 10 equal parts.
Introduces students to fractions i...

5NPV–1: Know that 10 tenths are equivalent to 1 one, and that 1 is 10 times the size of 0.1. Know that 100 hundredths are equivalent to 1 one, and that 1 is 100 times the...

7NF–1: Apply the order of operations, including brackets, powers, multiplication, division, addition, and subtraction, to evaluate numerical and algebraic expressions acc...

7NF–2: Interpret and construct Venn diagrams, and use set notation to represent and analyse relationships between sets.
Builds logical reasoning and classification ski...

5NF–2: Apply place-value knowledge to known additive and multiplicative number facts (scaling facts by 1 tenth or 1 hundredth).
Develops understanding of how numbers a...

5F–3: Recall decimal fraction equivalents for 1/2, 1/4, 1/5 and 1/10, and for multiples of these proper fractions.
Links fractions and decimals, vital for transitionin...

5NF–1: Secure fluency in multiplication table facts, and corresponding division facts, through continued practice.
Ensures proficiency in basic arithmetic operations, ...

5MD–4: Divide a number with up to 4 digits by a one-digit number using a formal written method, and interpret remainders appropriately for the context.
Improves unders...

7F–2: Multiply and divide proper fractions, improper fractions, and mixed numbers, simplifying results where appropriate.
Builds confidence in working with fractional ...

6F–3: Compare fractions with different denominators, including fractions greater than 1, using reasoning, and choose between reasoning and common denomination as a compar...

6F–2: Express fractions in a common denomination and use this to compare fractions that are similar in value.
Facilitates a deeper comprehension of fraction equivalenc...

6AS/MD–1: Understand that 2 numbers can be related additively or multiplicatively, and quantify additive and multiplicative relationships (multiplicative relationships re...

6NPV–1: Understand the relationship between powers of 10 from 1 hundredth to 10 million, and use this to make a given number 10, 100, 1,000, 1 tenth, 1 hundredth or 1 tho...

5NPV–3: Reason about the location of any number with up to 2 decimals places in the linear number system, including identifying the previous and next multiple of 1 and 0....

6G–1: Compose and decompose shapes according to given properties, including dimensions, angles, and area, to solve related problems. This task enhances understanding of g...

6NPV–3: Reason about the location of any number up to 10 million, including decimal fractions, in the linear number system, and round numbers, as appropriate, including i...

5MD–2: Find factors and multiples of positive whole numbers, including common factors and common multiples, and express a given number as a product of 2 or 3 factors.
...

5G–2: Compare areas and calculate the area of rectangles (including squares) using standard units.
Applies arithmetic to geometry, essential for understanding properti...

5F–2: Find equivalent fractions and understand that they have the same value and the same position in the linear number system.
Crucial for comparing fractions and sim...

6F–1: Recognise when fractions can be simplified, and use common factors to simplify fractions.
Strengthens understanding of fractions, making calculations more effici...

5G–1: Compare angles, estimate and measure angles in degrees (°) and draw angles of a given size.
Introduces geometric reasoning with angles, foundational for studying...

6AS/MD–3: Solve problems involving ratio relationships.
Equips students with the skills to tackle proportion, scale, and ratio problems, important in math and real-lif...

7NPV–2: Find the lowest common multiple (LCM) and highest common factor (HCF) of two or more numbers, including using prime factorisation.
Strengthens understanding of...

7A–2: Understand that relationships can be generalised using algebraic statements, and substitute values into expressions, formulae, and equations to evaluate them.
De...

7G–5: Identify and describe the order of rotational symmetry of 2D shapes, and apply this knowledge in problem solving.
Develops spatial awareness and geometric reason...

7F–6: Solve problems involving direct proportion, including scaling quantities up or down using multiplicative relationships.
Develops understanding of proportional re...

7A–1: Recognise and describe arithmetic sequences, expressing them using the nth term rule to calculate any term directly.
Develops understanding of the structure of l...

7G–1: Identify and classify different types of triangles and quadrilaterals, and apply angle properties, including those related to parallel and intersecting lines, to so...

7F–3: Calculate percentage increases and decreases, including in financial and real-world contexts, and interpret the results accurately.
Strengthens proportional reas...

7F–1: Add and subtract fractions with different denominators, including mixed numbers and improper fractions, by finding common denominators and simplifying where possibl...

7F–4: Recognise when ratios can be simplified, and use common factors to simplify ratios.
Enhances understanding of proportional relationships and efficiency in proble...

7G–2: Calculate the area and perimeter of triangles, quadrilaterals, and compound shapes by applying relevant formulae and decomposing shapes where necessary.
Builds f...

7G–4: Perform and describe reflections, rotations, translations, and enlargements of shapes in the plane, using coordinates where appropriate.
Enhances understanding o...

7NPV–4: Understand and calculate the square root of a number, including identifying perfect squares and approximating non-square roots.
Prepares students for work with...

7G–3: Calculate and compare the volume of cubes and cuboids using standard units, and solve problems involving volume in real-life contexts.
Builds spatial reasoning a...

7F–5: Convert between ratios and fractions, and use these forms interchangeably to compare quantities and solve problems, recognising the multiplicative relationships bet...

7G–6: Plot and interpret points in all four quadrants of the Cartesian plane, and use coordinates to describe positions and relationships between points. Calculate the po...

7AS/MD–1: Understand and apply the mathematical structures underpinning addition, subtraction, multiplication, and division of positive and negative integers.
Extends ...

5F–1: Find non-unit fractions of quantities.
Enables students to apply fraction knowledge to find parts of quantities, essential for real-world applications and advanc...

5MD–1: Multiply and divide numbers by 10 and 100; understand this as equivalent to making a number 10 or 100 times the size, or 1 tenth or 1 hundredth times the size.
...

6AS/MD–4: Solve problems with 2 unknowns.
Introduces algebraic thinking by requiring students to find solutions to equations with two variables, a fundamental skill in...

5NPV–2: Recognise the place value of each digit in numbers with up to 2 decimal places, and compose and decompose numbers with up to 2 decimal places using standard and n...

6AS/MD–2: Use arithmetic properties, inverse relationships, and place-value understanding to derive calculations and solve problems. This approach develops the ability to...

6NPV–4: Divide powers of 10, from 1 hundredth to 10 million, into 2, 4, 5 and 10 equal parts, and read scales/number lines with labelled intervals divided into 2, 4, 5 an...