Moving to secondary school maths: what your child must know from Year 6

The move to secondary school is one of the most critical points in your child's education. Maths in Year 7 raises the level of difficulty in a way that surprises many parents — and the children even more. This article explains exactly what changes, where the gaps form, and how you can prepare your child to succeed.

Every September, as Year 7 begins, the same familiar script plays out: children who were good pupils in Year 6 find themselves struggling with the first maths lessons. The child who was 'exceeding' at primary is suddenly in a middle set, or lower. The parents ask: what happened? The answer is almost always the same — gaps that built up slowly through primary school, and now the bill has come due.

What is the difference between primary and secondary school maths?

The biggest change is not in the content itself — it is in the pace, the depth and the personal responsibility demanded of the pupil. At primary school the teacher goes over material many times, and there is room for a child who did not get it in one lesson. At secondary school, a topic not understood this week hangs as a burden over the next ones — because all of Year 7 is built on Year 6, and Year 8 is built on Year 7.

Essential knowledge from Year 6 — the foundation that must be solid

Before talking about what is new in Year 7, it is important to understand what the child must already be fluent in now. These are the topics without which Year 7 becomes a painful journey:

• Operations with fractions — adding, subtracting, multiplying and dividing fractions and decimals. Weakness in fractions is the number-one reason for difficulty in Year 7.
• Percentages — finding a percentage of an amount, finding the amount when the percentage is known, percentage increase and decrease.
• Ratio and proportion — understanding that a ratio is a comparison, equivalent ratios and solving proportion problems.
• Order of operations — BIDMAS: brackets, indices, division/multiplication, addition/subtraction.
• First algebra — simple equations with one unknown, substituting a value into an expression.
• Basic geometry — area and perimeter of quadrilaterals and triangles, angle facts.

What is new in Year 7? The topics the child meets on day one

Year 7 introduces three completely new areas with no direct continuation from primary. Meeting them early can turn September from a stressful experience into an empowering one:

1. Real algebra — expressions and equations

If Year 6 saw x + 3 = 7, Year 7 sees 3x − 2(x + 4) = 14. The child learns to simplify expressions, expand brackets, collect like terms and solve equations with an unknown. Anyone who did not understand the basic idea of an unknown — will be dragged along.

2. Negative numbers — a whole world that primary only glimpsed

The number line extends to −∞. Subtracting a negative number, multiplying two negatives, and what happens with (−3) × (−4)? These are topics that require real conceptual understanding — not just memorising.

3. Indices and roots — a new mathematical language

2⁵ = 32, √49 = 7. The child learns what a base is, what an index (power) is, the index laws (aᵐ × aⁿ = aᵐ⁺ⁿ), and calculations with indices — including combining them with the order of operations.

The most common mistake that breeds failure in Year 7

The question asked most often on parents' forums: 'My child did well in Year 6, why are they struggling now in Year 7?' The answer, almost always: fractions are not strong enough.

When a child is not fluent in dividing fractions, every algebra calculation involving fractional coefficients becomes a problem. When they do not understand percentages in depth, the number work in Year 7 becomes double Dutch. Fractions are the base on which all of the algebra in Years 7-8 is built.

• Dividing fractions — 'flip and multiply' memorised without understanding why, so the error arrives as soon as the context changes.
• Adding fractions with different denominators — many children forget to find a common denominator and simply add numerator to numerator.
• Order of operations with fractions — working left to right and missing the part in brackets.
• Decimals versus fractions — converting between the two forms leads to inaccuracies.

The summer dip — losing ground over the holidays: the real danger

Research (mostly from the United States, where the holiday is longer) points to a loss of roughly a month's worth of maths over the summer break. This is the 'summer slide' — and most parents are not aware of it. Even if the child finished Year 6 with excellent results, simply not using the material for six weeks causes significant forgetting.

Summer maths work is not 'more homework' — it is an investment that prevents heartache in September. A child who has revised fractions, percentages and basic algebra twice a week over the summer will arrive in Year 7 with a confidence that other children will take months to build.

Getting through the summer — a practical plan for parents

Success over the summer does not require hiring an expensive tutor or long summer classes. What it requires is consistency and the right focus:

1. Initial diagnosis — find out where the gaps are. Ask the child to do 10 questions on each topic (fractions, percentages, algebra) and identify where they get stuck.
2. Focused, not general, practice — 20 questions on fractions are better than 50 mixed questions. The child needs to build confidence in a specific topic before moving on.
3. Routine — not a marathon — three or four times a week for 20-30 minutes beats a two-hour session once a week.
4. Use digital platforms — MathsUK offers exam-prep questions matched to the Year 6-7 transition, including a set built specifically for pupils starting secondary school in September.
5. Finish with Year 7 content — once the base is strong, spend a fortnight on a preview of algebra and negative numbers. The child will walk into Year 7 with an advantage.

Warning signs — when must you seek professional help?

Not every difficulty needs a tutor, but there are signs that show the child needs focused intervention before the school year begins:

• The child cannot work out ⅔ × ¾ without a calculator — a basic weakness in fractions.
• They confuse adding fractions with multiplying fractions — a deep conceptual confusion.
• They cannot solve x + 5 = 12 — they do not understand the idea of an unknown.
• They lack confidence in maths and say they are 'not good at maths'.
• Their Year 6 SATs scaled score in maths was below 100 (the expected standard).

In these cases, structured summer sessions or a guided practice platform can prevent a hard year at secondary school. Do not wait to see low marks in November before acting — the summer is the right time.

What parents can do now — five immediate steps

1. Talk to the Year 6 class teacher before the end of the year — ask for an honest assessment of the child's level and where the gaps are.
2. Look at the Year 7 scheme of work on the secondary school's website (many publish it) — you will understand what awaits the child in September.
3. Explore MathsUK with the child — we have exam-prep questions built for the Year 6-7 transition, including a matched summer pathway.
4. Set realistic expectations — tell the child that Year 7 is different, and that a 'jump' in demands is coming. An open conversation reduces anxiety.
5. Create a summer practice routine — even three times a week for 20 minutes will hold on to the knowledge gained and shrink the summer dip.

Summary — the key to a successful Year 7

The move to secondary school is not an impassable barrier — it is a transition point you can prepare for. The children who arrive in Year 7 with a strong base in fractions, an understanding of percentages and basic algebra, and summer practice behind them — arrive ready and confident. They become the pupils who understand the opening lessons and feel at home with the material.

The investment you make now, in the summer before Year 7, is worth many times any private tuition you hire in November. Act now — and spare your child a year of needless struggle.

← Back to all articles