Year 8 maths usually turns on ratio, proportion and percentages, with algebra growing from letters into brackets and equations. When a child stalls, the fastest help is a sketch and a check, not a method from your own school days.
A quick note on where these topics come from. England's national curriculum sets maths for the whole of Key Stage 3 (Years 7 to 9) rather than for each year, so the split between years is a choice each school makes. What follows is a typical Year 8, and your school's scheme of work is the authority. Most schools will share it on request.
What sits in the curriculum
The Department for Education's Key Stage 3 programme names six areas: number; algebra; ratio, proportion and rates of change; geometry and measures; probability; and statistics. Year 8 is often where the following take most of the time:
- Ratio and proportion: using ratio notation and simplifying it, dividing a quantity in a given ratio, and relating ratios to fractions. The programme also lists direct and inverse proportion and compound units such as speed.
- Percentages: percentage increase and decrease, and expressing one quantity as a percentage of another. The programme describes percentages as something to interpret multiplicatively, which is an important clue about how they are best understood.
- Algebra: multiplying a single term over a bracket, taking out common factors, solving linear equations in one variable, generating terms of a sequence and working with coordinates in all four quadrants.
- Geometry: angles at a point and on a line, alternate and corresponding angles with parallel lines, the angle sum of a triangle and polygons, and the area and perimeter of circles.
- Probability and statistics: the 0 to 1 probability scale, listing outcomes systematically, and comparing data sets using averages and spread.
Which of these land in Year 8 rather than Year 7 or 9 varies by school, so treat the list as a menu, not a timetable.
Three places pupils slip
Sharing in a ratio
Try this question: share £60 in the ratio 2 : 3.
The common wrong turn is dividing 60 by 2 and by 3 to get £30 and £20. Ask: "Do those two amounts add up to the £60 we were sharing?" They do not, so something is off. Next ask: "How many equal parts are there altogether? How big is one part?" Children who draw five boxes and label them usually find their own way. (The answer is £24 and £36.)
Percentage change
Try this question: increase 40 by 15%.
The wrong turn is adding 15 to 40 and getting 55. The slip is treating "15%" as "15". Ask: "15% of what?" Find 10% of 40 first, then 5%, and build it up. A check that works is asking whether the answer should be a little more than 40 or a lot more. (The answer is 46.)
Brackets in algebra
Try this question: expand 3(x + 4).
The wrong turn is 3x + 4, where the 3 multiplies only the first term. Suggest the substitution test: "Let x be 1. What does 3(x + 4) equal? What does your answer equal?" The mismatch shows the problem. You can also ask them to draw a rectangle three units tall, with a base split into x and 4. (The answer is 3x + 12.)
The pattern here is the same as in Year 7: a rule that works most of the time meets a case where it does not. Good help names the mismatch through a check and lets the child repair it.
- Ratio: share £60 in 2 : 3Dividing by 2 and 3 gives £30 and £20, which do not total £60
- Percent: increase 40 by 15%Adding 15 treats 15% as 15
- Brackets: expand 3(x + 4)3x + 4 multiplies only the first term
How to help when you do not remember the method
You do not need the method. Four questions carry most of the weight:
- What is the question asking for? Get them to say it in their own words.
- Can you draw it? A bar, a number line, a rectangle or a quick sketch of a triangle.
- What would a sensible answer look like? Bigger or smaller than where we started? Whole number or not?
- How could you check that? Substitute, reverse the operation, or use rough numbers.
If they are still stuck, work a different example with different numbers in front of them, line by line, and ask them to go back to theirs. That is a worked twin, and the final step stays theirs. For a longer argument for why, our hint-ladder piece sets it out.
Mixed practice also helps more than finishing one topic at a time; see interleaving and mixed practice for maths.
- 1What is it asking?Say it in their own words
- 2Can you draw it?Bar, number line, rectangle
- 3What looks sensible?Bigger or smaller?
- 4How could you check?Substitute or reverse it
What to try tonight
- Choose one of the three questions above and let your child attempt it cold for five minutes. Do not correct; ask "how could you check?"
- Ask them to draw the ratio or percentage problem before writing any numbers.
- Go back two or three weeks to something they did and ask them to redo one question. Did it stick?
- Ask which topic felt easiest this week, and which felt like guessing.
- Tell the teacher about any consistent wobble, such as "still adds numerators and denominators". It is far more useful than "they struggle with maths".
Where Heddy fits, gently
Heddy is an iOS app whose maths tutor, Professor Pi, works a hint ladder that ends in a worked similar problem and never your own answer. The app is built for students aged 13 and over, so a Year 8 pupil may be just under or around that age floor. Check what Heddy will and will not do before deciding. For younger children, aitutors.me is the parent-provisioned route. The next year is Year 9 maths.
Updated 30 Sep 2026. Written by Duke Harewood, who builds the tutors at aitutors.me.
Questions people ask
What is covered in Year 8 maths?
The national curriculum sets content for Key Stage 3 as a whole, so the exact order depends on the school. Year 8 commonly deepens ratio, proportion and percentages, moves algebra on to brackets and equations, extends geometry to angle rules and circles, and adds probability and more statistics. Check your school's scheme of work.
Why do children often dip in Year 8?
Year 8 leans on multiplicative thinking, where problems are about how many times bigger something is, and on algebra that only works if earlier number skills are secure. A wobble in fractions or negatives from Year 7 tends to show up here. That is a signal to revisit, not a sign of a fixed ability.
How can I help if I do not remember the method?
You do not need the method. Ask what the question is asking, ask them to draw or sketch it, and ask how they could check the answer. Those three questions work on nearly any maths problem.
How long should Year 8 maths homework take?
Schools set their own homework expectations, so check your school's policy. A short, regular practice habit is easier to sustain than one long session, but that is a suggestion, not an official figure.