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Topics in Year 7:

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Square and Cube Numbers

7NPV–3: Recognise and use square numbers and cube numbers, including calculating and applying them in problem-solving contexts.
Strengthens understanding of number pro...
Number & Place Value
11+
Year 7

Collecting Like Terms

7A–3: Simplify algebraic expressions by collecting like terms, combining coefficients of variables and constants where appropriate.
Strengthens algebraic manipulation ...
11+
Year 7
Algebra

Order of Operations

7NF–1: Apply the order of operations, including brackets, powers, multiplication, division, addition, and subtraction, to evaluate numerical and algebraic expressions acc...
Number Facts
11+
Year 7

Venn Diagrams and Set Notation

7NF–2: Interpret and construct Venn diagrams, and use set notation to represent and analyse relationships between sets.
Builds logical reasoning and classification ski...
Number Facts
11+
Year 7

Multiplying and Dividing Fractions

7F–2: Multiply and divide proper fractions, improper fractions, and mixed numbers, simplifying results where appropriate.
Builds confidence in working with fractional ...
Fractions
11+
Year 7

Lowest Common Multiple and Highest Common Factor

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...
Number & Place Value
11+
Year 7

Substituting into Algebraic Expressions

7A–2: Understand that relationships can be generalised using algebraic statements, and substitute values into expressions, formulae, and equations to evaluate them.
De...
11+
Year 7
Algebra

Rotational Symmetry

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...
Geometry
11+
Year 7

Direct Proportion and Scaling Quantities

7F–6: Solve problems involving direct proportion, including scaling quantities up or down using multiplicative relationships.
Develops understanding of proportional re...
Fractions
11+
Year 7

Finding the n-th Term

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...
11+
Year 7
Algebra

Identifying Prime Numbers

7NPV–1: Recognise prime numbers and determine whether a number is prime, including using prime factorisation to express numbers as a product of their prime factors.
En...
Number & Place Value
Year 7

Properties of 2D Shapes

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...
Geometry
11+
Year 7

Percentage Increase and Decrease

7F–3: Calculate percentage increases and decreases, including in financial and real-world contexts, and interpret the results accurately.
Strengthens proportional reas...
Fractions
11+
Year 7

Adding and Subtracting Complex Fractions

7F–1: Add and subtract fractions with different denominators, including mixed numbers and improper fractions, by finding common denominators and simplifying where possibl...
Fractions
11+
Year 7

Simplifying Ratios

7F–4: Recognise when ratios can be simplified, and use common factors to simplify ratios.
Enhances understanding of proportional relationships and efficiency in proble...
Fractions
Number & Place Value
11+
Year 7

Finding Area and Perimeter of Triangles, Quadrilaterals and Compound Shapes

7G–2: Calculate the area and perimeter of triangles, quadrilaterals, and compound shapes by applying relevant formulae and decomposing shapes where necessary.
Builds f...
Geometry
11+
Year 7

Reflection, Rotation, Translation and Enlargement

7G–4: Perform and describe reflections, rotations, translations, and enlargements of shapes in the plane, using coordinates where appropriate.
Enhances understanding o...
Geometry
11+
Year 7

Square Roots

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...
Number & Place Value
11+
Year 7

Volume of Cubes and Cuboids

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...
Geometry
11+
Year 7

Converting Ratios and Fractions

7F–5: Convert between ratios and fractions, and use these forms interchangeably to compare quantities and solve problems, recognising the multiplicative relationships bet...
Fractions
11+
Year 7

Plotting in All Four Quadrants

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...
Geometry
11+
Year 7

Introduction to Operations with Two Decimal Places

7AS/MD–1: Understand and apply the mathematical structures underpinning addition, subtraction, multiplication, and division of positive and negative integers.
Extends ...
Multiplication & Division
11+
Year 7