Edexcel GCSE Maths Higher Paper 1 has been and gone. Now the focus shifts to Papers 2 and 3, which are both calculator papers: one on 3 June and one on 10 June. Having been through the full Paper 1 content, we have put together a proper analysis of what appeared, what did not, and where the time between now and the next sitting is best spent.
This analysis applies to Edexcel Higher only. It is not a guarantee, and no prediction ever is, but it is grounded in what actually appeared on Paper 1 and the historical patterns of how topics are distributed across the three papers.
What came up on Paper 1
Before identifying what is likely to come up next, it is worth being clear on what Paper 1 actually contained. Based on a full review of the paper, the following topics were tested:
- Long multiplication without a calculator
- Scatter graphs, correlation and line of best fit
- Probability from a table
- Arithmetic sequences and nth term expressions
- Direct and inverse proportion in context
- Solving a quadratic by factorising
- Surface area and volume of a cuboid
- Percentage profit
- Exact trigonometric values and Pythagoras in combined triangles
- Ratio with fractions in a multi-step problem
- Indices and standard form
- Graphical inequalities and shading regions
- Similarity and volume scale factor
- Trigonometric graphs and identifying errors
- Completing the square and finding the turning point
- Area of a trapezium with surds
- Histograms
- Solving simultaneous inequalities algebraically with a graph
- Circle theorems: proof using tangent, radius and angle at centre
- Expanding triple brackets
Some of the topics that appeared on Paper 1 are more commonly tested without a calculator. With two calculator papers remaining, certain topics that are harder to assess without one are now more likely to appear. Trigonometry with non-exact values, compound interest calculations, and cumulative frequency are all examples of this.
What did not come up on Paper 1
This is where the focus should go. These are significant Higher topics that were absent from Paper 1 entirely. Some of them are almost certain to appear across Papers 2 and 3.
Vectors
Vectors did not appear anywhere on Paper 1. This is notable because vectors is a consistently tested Higher topic and one that tends to appear on calculator papers, often as a multi-step proof or path question. Historically it shows up on at least one of Papers 2 or 3 every year. The absence from Paper 1 makes it very likely to appear in both remaining papers in some form. This is the single biggest gap from Paper 1 and should be a priority.
Simultaneous equations: algebraic method
Paper 1 included simultaneous inequalities graphically, but straightforward simultaneous equations solved algebraically by elimination or substitution did not appear as a standalone topic. This is one of the most frequently examined Higher algebra topics and its absence from Paper 1 makes it a near certainty for Papers 2 or 3.
Tree diagrams and dependent probability
Paper 1 had a probability question from a table, but tree diagrams and conditional or dependent probability did not appear. These are standard Higher probability topics, particularly the type where the second event depends on the outcome of the first, such as drawing two counters from a bag without replacement. Expect this to come up.
Compound interest and repeated percentage change
No compound interest or depreciation question appeared on Paper 1. This is a topic that benefits from a calculator and is a consistent fixture on at least one of the calculator papers. The formula A = P multiplied by (1 + r/100) to the power of n needs to be known and applied confidently.
Sine rule and cosine rule
Paper 1 tested trigonometry through exact values and Pythagoras, but the sine rule and cosine rule were not examined. Both are firmly on the Higher specification and are best assessed with a calculator, making Papers 2 and 3 the natural home for them. Area of a triangle using 1/2 ab sin C also falls into this category.
Cumulative frequency and box plots
Paper 1 had a histogram, which is good to see, but cumulative frequency and box plots were absent. These are distinct statistical topics and both are regularly tested at Higher level. Drawing a cumulative frequency curve, reading off the median and quartiles, and comparing box plots are all skills worth revisiting before the calculator papers.
Frequency tables: mean, median and mode
A grouped or ungrouped frequency table question did not appear on Paper 1. Calculating the estimated mean from a grouped frequency table in particular is a staple Higher topic and the type of question that benefits from a calculator when the numbers are less clean.
Functions and composite functions
Function notation, including finding f(x), fg(x) and inverse functions, did not appear on Paper 1. This is a regularly tested Higher algebra topic. Students who are less confident here should spend time on the notation and on how to find an inverse function algebraically.
Quadratic formula and completing the square for solutions
Completing the square appeared on Paper 1 but only in the context of finding the turning point, not for solving a quadratic. Using the quadratic formula or completing the square to find solutions, particularly where the discriminant or the number of solutions is asked about, is likely to appear in the calculator papers.
Straight line graphs came up on Paper 1 in the context of linear inequalities. However, finding the equation of a line through two points, perpendicular lines, and midpoints are still topics that can appear again in different contexts. Do not drop these completely from revision.
The priority list for Papers 2 and 3
Based on the analysis above, here is how to prioritise the time between now and Paper 2. The topics are ordered by how likely they are to appear and how many marks they typically carry.
Highest priority, very likely to appear in Papers 2 or 3:
- Vectors: path problems, proof, expressing routes in terms of a and b
- Simultaneous equations: elimination and substitution, including one linear one quadratic
- Tree diagrams: dependent probability, without replacement
- Compound interest and depreciation: A = P x (1 + r/100) to the power of n
- Sine rule and cosine rule: including area of triangle using 1/2 ab sin C
- Cumulative frequency and box plots: drawing, reading and comparing
High priority, likely to appear, worth solid preparation:
- Frequency tables: estimated mean from grouped data
- Functions and composite functions: f(x), fg(x), inverse functions
- Quadratic formula: solving equations, number of solutions
- Circle geometry: further theorems and angle in alternate segment (which was explicitly excluded from Paper 1's circle proof)
- Iteration: finding solutions to equations using iterative formulae
- Speed, distance and time with graphs: interpreting velocity-time graphs, area under a graph
Worth revisiting even though they appeared on Paper 1:
- Surds: these came up on Paper 1 but are a reliable feature across all three papers in different forms
- Algebraic fractions: simplifying, adding, solving equations with
- Proof: algebraic proof is regularly examined and came up at the end of Paper 1 in a geometry context
How to approach revision between papers
With two weeks before Paper 2, the approach matters as much as the topics. A few principles worth following:
Do not reattempt topics that were already examined in Paper 1 and that you feel confident with. Once a topic has been assessed, it is unlikely to appear in the same form again and the time is better spent on the gaps identified above.
Work through exam questions on each topic rather than reading notes. The difference between knowing a method and being able to apply it under time pressure in an unfamiliar context is exactly what the calculator papers test. Use past paper questions sorted by topic and mark them honestly with the mark scheme.
For topics like vectors and the sine and cosine rule, spend time on the multi-step versions rather than the straightforward ones. At Higher, these topics rarely appear in their simplest form and the exam questions will expect you to chain steps together or identify which formula to use without being told.
Paper 3 is ten days after Paper 2. After sitting Paper 2, spend the first day going back over anything that felt unclear, then shift focus to any remaining topics that did not appear on either Paper 1 or Paper 2.
A note on difficulty
Paper 1 was widely considered difficult, with a high proportion of multi-step and proof-style questions appearing earlier in the paper than usual. This sometimes leads to grade boundaries being adjusted downward to reflect the difficulty. If Paper 1 felt hard, it likely felt hard for the majority of students sitting it. The best response to that is to arrive at Papers 2 and 3 as prepared as possible on the topics identified above, show all working on every question, and manage time carefully so that no marks are left behind on earlier questions that are within reach.
The priority list above is our honest assessment of where the time is best spent. It is not exhaustive, as a small number of marks will always come from topics that cannot be predicted, but it covers the areas with the highest likelihood and the highest mark potential across the two remaining papers.
