GCSE Maths rewards steady practice across a broad syllabus rather than last-minute cramming of a few topics. The exam boards share most of their content, so working through a wide mix of questions, with clear solutions to learn the expected method, is the surest route to the grade you want. Maths Daily Helper generates unlimited fresh GCSE-style problems across every topic and both tiers, each with a full worked solution, so you can find your weak spots and drill them until they are automatic.
Topics covered
- Number: fractions, decimals, percentages, standard form, surds, bounds.
- Algebra: expanding and factorising, linear and quadratic equations, simultaneous equations, sequences, graphs.
- Ratio, proportion and rates of change.
- Geometry and measures: angles, area and volume, Pythagoras, trigonometry, transformations.
- Probability and statistics: averages, charts, tree diagrams, probability.
Try a few GCSE-style problems
Work each one out first, then check your steps.
Increase £80 by 15%.
1. 15% of 80 = 0.15 × 80 = 12.
2. Add to the original: 80 + 12 = 92.
Answer: £92.
Expand and simplify (x + 3)(x − 5).
1. Multiply each term: x·x + x·(−5) + 3·x + 3·(−5) = x² − 5x + 3x − 15.
2. Collect like terms: −5x + 3x = −2x.
Answer: x² − 2x − 15.
Solve 5x − 4 = 3x + 10.
1. Subtract 3x from both sides: 2x − 4 = 10.
2. Add 4 to both sides: 2x = 14.
3. Divide by 2: x = 7.
Answer: x = 7.
Share £120 in the ratio 2 : 3.
1. Total parts = 2 + 3 = 5.
2. One part = 120 ÷ 5 = 24.
3. The shares are 2 × 24 = 48 and 3 × 24 = 72.
Answer: £48 and £72.
A right-angled triangle has legs 5 cm and 12 cm. Find the hypotenuse.
1. Pythagoras: hypotenuse² = 5² + 12² = 25 + 144 = 169.
2. Hypotenuse = √169 = 13.
Answer: 13 cm.
Solve x² − 7x + 10 = 0.
1. Find two numbers multiplying to 10 and adding to −7: −2 and −5.
2. Factorise: (x − 2)(x − 5) = 0.
3. So x − 2 = 0 or x − 5 = 0.
Answer: x = 2 or x = 5.
A fair spinner has 8 equal sections, 3 of them red. What is the probability of landing on red?
1. Favourable outcomes = 3 (red sections).
2. Total outcomes = 8.
Answer: 3/8.
Write 45,000 in standard form.
1. Move the decimal point so one non-zero digit sits before it: 4.5.
2. Count the places moved: 4 places, so the power of 10 is 4.
Answer: 4.5 × 10⁴.
Get unlimited GCSE Maths questions
Select GCSE, choose a topic and tier, and get a fresh question each time with hints and full solutions.
Open Maths Daily Helper →How to revise GCSE Maths with daily practice
Little and often beats long, rare sessions. Ten to fifteen questions a day, rotating across topics so nothing goes cold, keeps the whole syllabus fresh through the year. Use the hint feature when you are stuck rather than jumping to the solution, so you train yourself to find the next step under exam conditions. As the exam approaches, generate full practice papers and time yourself so pace and clear working become second nature.