What GCSE Maths should really do
GCSE Maths moves fastest when weak topics are linked to the exact paper habits that keep marks low. Students often need both reteaching and better exam judgement, not one or the other.
What GCSE Maths should include
- Topic diagnosis from mocks and class tests rather than random worksheet selection
- Method marks, calculator judgement and mixed-paper stamina
- Secure routes through algebra, ratio, geometry, statistics and problem-solving
- A plan that shows families what is changing before the next assessment window arrives
When this route is the right fit
This route suits Year 10 and Year 11 students who need sharper topic repair and better full-paper performance.
Practical guide · Updated
Reverse percentages: find the whole you started from
A percentage change question becomes easier when the student labels the original amount as 100%. The final amount may represent more or less than that whole.
A practical example
An item costs £72 after a 20% reduction. The £72 represents 80%, so the original price is 72 ÷ 0.8 = £90. Adding 20% to £72 gives £86.40 because it uses the wrong base. Check by taking 20% off £90.
Try a price of £132 after a 10% increase: divide by 1.1 to obtain £120. Draw a percentage bar before calculating if the multiplier is unclear. These are fictional price exercises designed to reveal the relationship, not a shortcut to apply without reading the question.
A percentage-point change is not a percentage increase
A fictional success rate rises from 40% to 50%. That is a rise of 10 percentage points. Relative to the original 40%, the increase is 10 ÷ 40 = 25%. Both descriptions can be correct, but they answer different questions.
Ask the student to explain what the denominator represents in the second calculation. Then try a change from 20% to 30%: it is still 10 percentage points, but now a 50% relative increase. This is a useful check when interpreting statistical claims in an exam or an everyday report.
Next Step
Call 07909 274901 or book a free trial lesson to agree the most useful GCSE starting point for the next few weeks.
Free guides to try before your lesson
A marked question is most useful when it changes the next revision session. This worked example shows how to turn a repeated mistake into a specific practice task.