Calculator or non-calculator?

Paper 1: non-calculator80 marks, 1 hour 30 minutes, any topic
Paper 2: calculator80 marks, 1 hour 30 minutes, any topic
Paper 3: calculator80 marks, 1 hour 30 minutes, any topic
17 topics · try each check without a calculator
Number

Decimals: multiplying and dividing

On Paper 1 (no calculator)Multiply decimals as whole numbers and put the point back by counting decimal places; divide by scaling both numbers until the divisor is whole. An estimate tells you if the point is in the right place.

On Papers 2 and 3The arithmetic is done for you. Marks go on reading the question, rounding sensibly and giving units.

Quick check. Work out 0.6×0.070.6 \times 0.07.

Lesson: Place value, ordering and decimal operationsLesson: Estimation and sense checks

Number

Fractions and mixed numbers

On Paper 1 (no calculator)All four operations with fractions and mixed numbers by hand, with answers left as fractions. Change mixed numbers to improper fractions before multiplying or dividing.

On Papers 2 and 3The fraction key does the arithmetic, but you still choose the operation and the form of the answer.

Quick check. Work out 213×342\frac{1}{3} \times \frac{3}{4}. Give your answer as a mixed number.

Lesson: Equivalent fractions and mixed numbersLesson: Fraction arithmetic and exact answers

Ratio

Percentages and multipliers

On Paper 1 (no calculator)Build percentages from 10%10\%, 5%5\% and 1%1\%, and use simple multipliers such as 1.151.15 by hand. Reverse percentages come with numbers that divide exactly.

On Papers 2 and 3Multipliers with awkward decimals, repeated percentage changes and reverse percentages with any numbers.

Quick check. Increase £80 by 15%15\%.

Lesson: Percentages, changes and multipliersLesson: Original values, profit and simple interest

Number

Standard form

On Paper 1 (no calculator)Multiply or divide the number parts and use index laws on the powers of 10, then adjust so the first number is from 1 up to 10.

On Papers 2 and 3Typing standard form into the calculator correctly, and reading its display, is what is tested.

Quick check. Work out (3×104)×(4×105)(3 \times 10^{4}) \times (4 \times 10^{5}). Give your answer in standard form.

Lesson: Standard form and calculator entry

Number

Powers and roots

On Paper 1 (no calculator)Know squares up to 15215^2, the cubes of 11 to 55 and 1010, and their roots. On Higher, negative and fractional indices are worked out as reciprocals, roots and powers.

On Papers 2 and 3Any power or root can be evaluated, so questions can use awkward numbers and ask you to round.

Quick check. Work out 144+25\sqrt{144} + 2^{5}.

Lesson: Integer powers and rootsLesson: Fractional and negative indices

NumberHigher only

Surds

On Paper 1 (no calculator)Answers stay exact: simplify roots by taking out square factors, expand brackets with surds and rationalise denominators.

On Papers 2 and 3Surds can still be asked for in exact form on a calculator paper; a decimal from the calculator will not score then.

Quick check. Simplify 12+27\sqrt{12} + \sqrt{27}.

Lesson: Surds, exact calculations and rationalising

Geometry

Circles, arcs and sectors

On Paper 1 (no calculator)Answers are usually left in terms of π\pi, or the question gives an approximation to use, such as π≈3\pi \approx 3.

On Papers 2 and 3Use the π\pi key and round as the question asks; an early rounded value of π\pi can cost the accuracy mark.

Quick check. A circle has radius 66 cm. Find its area, giving your answer in terms of π\pi.

Lesson: Circle vocabulary and perimeterLesson: Arc lengths and sectors

Ratio

Compound interest, growth and decay

On Paper 1 (no calculator)Friendly rates and few years, such as 10%10\% for 22 years, or halving. You may be asked to write the calculation, such as 2000×1.0532000 \times 1.05^{3}, without working it out.

On Papers 2 and 3Any rate and any number of years, using the multiplier and a power. The compound interest formula is on the formulae sheet.

Quick check. £2000 is invested at 10%10\% compound interest per year. How much is it worth after 22 years?

Lesson: Compound growth and decay

Ratio

Speed, density and pressure

On Paper 1 (no calculator)Times and quantities that convert neatly, such as 22 hours 3030 minutes =2.5= 2.5 hours. The relationships are not on the formulae sheet: you need to know them.

On Papers 2 and 3Awkward times and unit conversions, with the answer rounded.

Quick check. A car travels 150150 km in 22 hours 3030 minutes. Work out its average speed in km/h.

Lesson: Speed, density, pressure and unit pricing

Geometry

Pythagoras' theorem

On Paper 1 (no calculator)Side lengths make whole-number answers (such as 5,12,135, 12, 13), or on Higher the answer is left as a surd.

On Papers 2 and 3Any lengths, with the square root rounded to the accuracy asked for.

Quick check. A right-angled triangle has shorter sides 55 cm and 1212 cm. How long is the longest side?

Lesson: Pythagoras in two dimensionsLesson: Three-dimensional Pythagoras and trigonometry

Geometry

Right-angled trigonometry

On Paper 1 (no calculator)Only the exact values: sin⁡\sin and cos⁡\cos of 0∘,30∘,45∘,60∘,90∘0^\circ, 30^\circ, 45^\circ, 60^\circ, 90^\circ and tan⁡\tan of 0∘,30∘,45∘,60∘0^\circ, 30^\circ, 45^\circ, 60^\circ. They are not on the formulae sheet.

On Papers 2 and 3Any angle, using the sin⁡\sin, cos⁡\cos and tan⁡\tan keys and their inverses; check the calculator is in degrees.

Quick check. In a right-angled triangle the hypotenuse is 1010 cm and one angle is 30∘30^\circ. How long is the side opposite the 30∘30^\circ angle?

Lesson: Right-triangle trigonometry in two dimensionsLesson: Exact trigonometric values

GeometryHigher only

Sine rule, cosine rule and 12absin⁡C\frac{1}{2}ab\sin C

On Paper 1 (no calculator)Angles with exact values (such as 60∘60^\circ or 30∘30^\circ) and lengths that give a whole-number or surd answer.

On Papers 2 and 3Any angles and lengths, rounded as asked. The rules are on the Higher formulae sheet.

Quick check. A triangle has sides 55 cm and 88 cm with an angle of 60∘60^\circ between them. How long is the third side?

Lesson: Sine rule and the ambiguous caseLesson: Cosine rule for sides and anglesLesson: Area of any triangle and mixed trigonometry

AlgebraHigher only

The quadratic formula

On Paper 1 (no calculator)Answers are left exact, in surd form, and the square root usually simplifies.

On Papers 2 and 3Answers are usually rounded, such as to 2 decimal places. The formula is on the Higher formulae sheet.

Quick check. Solve x2+2x−1=0x^2 + 2x - 1 = 0. Give your answers in surd form.

Lesson: Quadratic formula and rearranged quadratics

Probability

Probability and tree diagrams

On Paper 1 (no calculator)Work in fractions or simple decimals by hand. Multiply along branches, add between outcomes.

On Papers 2 and 3Messier decimals and more branches; the reasoning is the same.

Quick check. A spinner lands on red with probability 0.30.3. A second, separate spinner lands on blue with probability 0.40.4. What is the probability of red on the first and blue on the second?

Lesson: Probability language, frequency trees and expectationLesson: Independent and dependent event trees

Statistics

Averages from data

On Paper 1 (no calculator)Friendly numbers: totals you can add in your head and means that come out exactly.

On Papers 2 and 3Larger tables, grouped data estimates and means that need rounding.

Quick check. Find the mean of 2,4,4,52, 4, 4, 5 and 1010.

Lesson: Ordered stem-and-leaf, averages, spread and grouped means

Formulae: given or to know (Higher)

On your formulae sheet (both tiers)

Given in every paper: learn how to choose, rearrange and use them, not the formula itself.

  • Area of a trapezium = ½(a + b)h
  • Volume of a prism = area of cross-section × length
  • Circumference of a circle = 2πr = πd
  • Area of a circle = πr²
  • Pythagoras: a² + b² = c²
  • Trigonometric ratios: sin = opp/hyp, cos = adj/hyp, tan = opp/adj
  • Compound interest: P(1 + r/100)ⁿ
  • P(A or B) = P(A) + P(B) − P(A and B)

On the Higher sheet only

These topics are Higher content, so only the Higher sheet has them.

  • Quadratic formula: x = (−b ± √(b² − 4ac))/(2a)
  • Sine rule: a/sin A = b/sin B = c/sin C
  • Cosine rule: a² = b² + c² − 2bc cos A
  • Area of a triangle = ½ab sin C
  • P(A and B) = P(A given B) P(B)

Given inside the question when needed

Not on the sheet: the question prints the formula, and you substitute into it.

  • Surface area of a sphere = 4πr²
  • Volume of a sphere = ⁴⁄₃πr³
  • Curved surface area of a cone = πr l
  • Volume of a cone = ⅓πr² h
  • Volume of a pyramid = ⅓ × area of base × perpendicular height

Not given: know these or be able to derive them

Nothing on the sheet covers these, on any paper.

  • Area of a rectangle, triangle and parallelogram
  • Gradient = change in y / change in x
  • Speed = distance / time; density = mass / volume; pressure = force / area
  • Percentage multipliers and reverse percentages
  • Mean, median, mode, range; frequency density = frequency / class width
  • Sector fraction = angle / 360
  • Angle facts and circle theorems
  • Index laws
  • Exact values of sin, cos and tan

Try the course

Questions students ask

Which topics are on the non-calculator paper?

Any of them. The specification allows every topic on every paper; on Paper 1 the numbers are chosen so the working can be done by hand.

Do you get a formulae sheet in GCSE Maths?

Yes, for 2026 Pearson gives each tier a formulae sheet, and has said the sheets will continue for the rest of the specification. Some formulae, such as the area of a rectangle or the exact trigonometric values, are not on it and must be known.

Is the quadratic formula on the formulae sheet?

Yes, on the Higher sheet. Quadratic formula questions are Higher only.

What formulae are given in the question?

The volume and surface area of a sphere, the volume and curved surface area of a cone, and the volume of a pyramid are given in the question when you need them.

How we work this out

What it does

Any topic can come up on any of the three papers. Here is what each topic asks of you on Paper 1, where the calculator is not allowed, which formulae you are given, and a quick check you can do without a calculator.

Pearson Edexcel GCSE (9-1) Mathematics (1MA1): Paper 1 is non-calculator, Papers 2 and 3 allow a calculator, on both tiers.

Method

  1. Every topic can be assessed on every paper, so the question is how the topic is asked without a calculator.
  2. Topics marked Higher are on the Higher tier only.
  3. Formulae are grouped as Pearson gives them: on both tiers' sheets, on the Higher sheet only, given inside the question where needed, or not given at all.

How sure is it?

  • The formulae sheets were checked for 2026. A line-by-line check against the sheet for your exam year is still worth doing.

If you can do each topic's quick check by hand, you can meet it on Paper 1. It cannot tell you which topics will be on a particular paper: no one outside Pearson can.

Independent practice for Pearson Edexcel GCSE Mathematics (1MA1), not endorsed by Pearson.

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