Free maths tools for GCSE, IGCSE and A Level
Quick calculators that turn raw marks into grades. Every threshold is editable, so you can drop in the grade boundaries your exam board published for your own series instead of relying on a guess.
GCSE grade calculator (9–1)
Free GCSE grade calculator. Enter your marks and total marks to see your percentage, your 9–1 grade against editable boundaries, and how many marks you need for the next grade.
A Level grade calculator
Free A Level grade calculator. Convert raw marks into an A*–E grade with editable boundaries, see your percentage and find out exactly how many marks you need for the next grade.
Maths solvers
Working tools for the calculations students search for most — each one shows the method as well as the answer, so it supports your written working instead of replacing it.
Quadratic equation solver
Solve any quadratic ax² + bx + c = 0 instantly. See the discriminant, exact surd roots, decimal roots, the completed square form and the turning point — free, no sign-up.
Simultaneous equations solver
Solve two linear simultaneous equations in x and y instantly. Enter the coefficients and see the elimination working, the determinant, and whether the equations have no solution or infinitely many.
Standard form converter
Convert any number to standard form (a × 10ⁿ) and back to an ordinary number. Free GCSE and IGCSE tool with the rules for negative powers, significant figures and calculator input.
Percentage change calculator
Work out percentage increase, percentage decrease and reverse percentages with full working. Free GCSE and IGCSE maths tool covering multipliers, original values and profit or loss.
Surd simplifier
Simplify any surd into its k√m form and rationalise fractions with a surd denominator. Free GCSE and A Level tool showing the largest square factor and the exact answer.
Straight line equation calculator
Find the equation of a line through two points, plus gradient, y-intercept, midpoint, length and the perpendicular bisector. Free GCSE and A Level coordinate geometry tool.
Ratio calculator
Free ratio calculator. Share any amount in a ratio such as 3:5:7, simplify ratios, and see the one-part value, each share and the fraction of the total — with full GCSE working.
Compound interest calculator
Free compound interest and depreciation calculator. Enter the principal, rate and number of years to see the multiplier, the final amount, total interest and a year-by-year table.
Sine & cosine rule calculator
Free sine rule and cosine rule calculator. Enter any three sides or angles of a non-right-angled triangle to find the missing sides, angles and area, with the rule used shown at each step.
Pythagoras' theorem calculator
Free Pythagoras' theorem calculator for right-angled triangles. Enter any two sides to find the hypotenuse or a shorter side, with exact surd answers, decimals, area and perimeter.
Mean, median & mode calculator
Paste a list of numbers to get the mean, median, mode, range, quartiles, interquartile range and standard deviation instantly, with the ordered data and working shown.
Circle area & circumference calculator
Free circle calculator: enter the radius, diameter, circumference or area to get all four, plus arc length and sector area for any angle — answers in terms of π and as decimals.
HCF & LCM calculator
Find the highest common factor and lowest common multiple of two or three numbers, with full prime factorisation, the shared factors and the product rule check — free, no sign-up.
Fraction calculator
Add, subtract, multiply and divide fractions with full working: common denominators, simplification, mixed numbers and decimal equivalents. Free GCSE fraction calculator.
Speed, distance & time calculator
Work out speed, distance or time from the other two, with unit conversion between m/s and km/h, hours and minutes, and the rearranged formula shown step by step.
Trigonometry calculator (SOHCAHTOA)
Find missing sides and angles in a right-angled triangle with SOHCAHTOA. Enter any two values and see which ratio to use, the rearranged formula and the full working.
Volume & surface area calculator
Calculate volume and surface area for cubes, cuboids, cylinders, cones, spheres and prisms with the formula and substitution shown step by step. Free GCSE tool.
Rounding & significant figures calculator
Round any number to significant figures or decimal places, see the rounding rule applied, and get the upper and lower error bounds for the rounded value. Free GCSE tool.
Nth term calculator
Find the nth term rule of any linear or quadratic sequence. See the first and second differences, the full working, and generate any term you need. Free GCSE tool.
Differentiation calculator
Differentiate any function with respect to x, get the simplified derivative, second derivative, gradient at a point and the tangent equation. Free A Level maths tool.
Vector calculator
Add, subtract and scale 2D vectors, find magnitudes, unit vectors, the scalar product and the angle between two vectors — with full working. Free GCSE and A Level tool.
Probability calculator
Work out combined probabilities for two events: P(A and B), P(A or B), P(neither), P(exactly one) and P(at least one), with the tree-diagram working shown in full. Free GCSE tool.
Laws of indices calculator
Apply the index laws to a^m x a^n, a^m / a^n and (a^m)^n instantly. See the simplified index form, the exact value, and what negative and fractional indices mean. Free GCSE and A Level tool.
Binomial expansion calculator
Expand (a + bx)^n term by term with binomial coefficients, Pascal's triangle row and the first four terms in ascending powers of x. Free A Level and GCSE higher maths tool.
Turn a target grade into a revision plan
Knowing you need eight more marks is only useful if you know where to find them. MathsGradeUp maps every mark you drop back to the topic it came from, then serves exam-board questions, revision notes and step-by-step feedback on exactly those gaps.