Papers 1 and 2 are done. Paper 3 is on Wednesday 10 June and it is the final sitting. This analysis is based on a full review of both Paper 1 and Paper 2, cross-referenced against the complete Edexcel Higher specification. The goal is to identify what has already been tested, what is conspicuously absent, and where the time between now and Wednesday is most likely to pay off.
One important point before the full breakdown. The absence of a topic from Papers 1 and 2 does not mean it is guaranteed on Paper 3. And the presence of a topic on an earlier paper does not mean it cannot appear again in a different form. Some topics sit at the core of the Higher specification and appear every year across multiple papers. Circle theorems and surds are good examples. The analysis below reflects both of these realities.
What appeared on Paper 1
Paper 1 (14 May, non-calculator) contained the following topics across its 22 questions:
- Long multiplication without a calculator
- Scatter graphs and correlation
- Probability from a table
- Arithmetic sequences and nth term
- Direct and inverse proportion in context
- Solving a quadratic by factorising
- Cuboid surface area and volume
- 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 turning point
- Area of a trapezium with surds
- Histograms
- Simultaneous inequalities algebraically with a graph
- Circle theorems proof (tangent, radius and angle at centre)
- Expanding triple brackets
What appeared on Paper 2
Paper 2 (3 June, calculator) contained the following across its 22 questions:
- LCM and HCF
- Expanding double brackets and solving a linear equation
- Interior angles of a regular polygon
- Ratio and weight in context, multi-step show question
- Standard form in context, satellite distance and time
- Compound interest with a mid-period rate change
- Error intervals, explaining a wrong method
- Algebraic proof using mean weight expression
- Stem and leaf, drawing a box plot and comparing distributions
- Independent probability, at least one calculation
- Integer solutions to a double inequality
- Combination counting
- Capture-recapture population estimate
- Quadratic formula to 3 significant figures
- Gradient of a curve by drawing a tangent, interpreting gradient in context
- Sector arc length to find full circle area
- Graph transformation y = negative f(x minus 3)
- Algebraic fractions, show question
- Vectors proof, finding value of m
- Composite functions and finding an inverse function
- 3D trigonometry, angle in a cuboid
- Surds in a pressure context, rationalising the denominator
Vectors, composite functions, inverse functions, 3D trigonometry and algebraic fractions all appeared on Paper 2. This is a relatively demanding spread for a calculator paper. It also means Paper 3 may be slightly more balanced, but it does not mean these topics cannot appear again in a different context.
What has not appeared across Papers 1 or 2
Working through the full Edexcel Higher specification against both papers, the following significant topics have not been examined yet in this series. These are the strongest candidates for Paper 3.
Cumulative frequency and box plots from grouped data
Paper 2 had a box plot question but it came from a stem and leaf diagram, which is a different skill. Drawing a cumulative frequency curve from a grouped frequency table, reading off the median and quartiles, and then constructing or comparing box plots from that data has not been tested. This is a multi-mark statistics topic that Edexcel tests almost every year and it is very likely to appear on Paper 3.
Frequency tables: estimated mean from grouped data
No grouped frequency table question appeared on either paper. Calculating the estimated mean using midpoints multiplied by frequency, divided by total frequency, is a fundamental Higher statistics skill. It often comes packaged with a question about why it is an estimate. This is a high-probability topic for Paper 3.
Sine rule
Paper 1 tested exact trig values and Pythagoras. Paper 2 had 3D trigonometry using SOHCAHTOA and the cosine rule. The sine rule has not appeared as a question in either paper. This is on the Higher specification and is well-suited to the calculator paper. Expect it to appear on Paper 3, potentially alongside area of a triangle using half ab sin C.
Simultaneous equations: algebraic method
Paper 1 had simultaneous inequalities graphically. That is a different skill from solving simultaneous equations algebraically by elimination or substitution. Standard simultaneous equations, including one linear and one quadratic, have not appeared in this series. This is one of the most reliably tested Higher algebra topics.
Tree diagrams and dependent probability
Paper 2 had independent probability with two coins. Dependent probability, particularly without replacement from a bag or similar context using a tree diagram, has not appeared. These are distinct skills and both are on the specification.
Circle theorems: angles version
Paper 1 had a circle theorem proof involving the tangent and radius. However, the angle-based circle theorems such as angle in a semicircle, angles in the same segment, opposite angles in a cyclic quadrilateral and the angle at the centre being twice the angle at the circumference have not been tested as calculation questions. These could appear on Paper 3 in a straightforward find-the-angle context.
Iteration
Iteration, where students use a repeated formula to find solutions to equations to a given degree of accuracy, has not appeared in either paper. It is a Higher-only topic that appears regularly in the back half of Edexcel papers and carries 3 to 4 marks. It is worth a quick review of the method.
Direct and inverse proportion: algebraic form
Paper 1 had proportion in a context-based question. Setting up and using proportion equations in their algebraic form, where y is proportional to x squared or y is inversely proportional to the square root of x, has not appeared. This is a Higher algebra topic that carries 4 to 5 marks and is a strong candidate for Paper 3.
Speed, distance and time with graphs
Paper 2 had a gradient of a curve question in a depreciation context. Speed, distance and time in the context of a velocity-time graph, including finding distance as the area under the graph, has not appeared. This is a regularly examined application topic.
Inequalities on a number line or set notation
Paper 1 had graphical inequalities. Paper 2 had integer solutions to a double inequality. Representing inequalities on a number line or using set notation such as listing integer solutions or writing answers in the form a is less than x is less than or equal to b has not appeared as a standalone question.
Surds appeared in both Paper 1 and Paper 2 in different forms. Circle theorems appeared on Paper 1 and may appear again as a calculation question rather than a proof. Vectors appeared on Paper 2 in a complex proof context and could appear on Paper 3 in a simpler path or midpoint form. Do not drop these from revision because they have already come up.
The priority list for Paper 3
Based on the full analysis above, here is how to order the next three days. The topics are grouped by likelihood and mark potential.
Highest priority, strong basis for appearing:
- Cumulative frequency: drawing the curve from a grouped table, reading median and quartiles, constructing or comparing box plots
- Frequency tables: estimated mean from grouped data, modal class, why it is an estimate
- Sine rule and cosine rule: finding missing lengths and angles, area using half ab sin C
- Simultaneous equations: elimination and substitution, one linear and one quadratic
- Tree diagrams: dependent probability, without replacement from a bag or box
High priority, likely to appear in some form:
- Circle theorems: angle calculations using the standard theorems, with geometric reasoning
- Direct and inverse proportion: algebraic form, setting up and solving equations
- Iteration: using a given formula repeatedly to find a root to a required accuracy
- Speed, distance and time: velocity-time graphs, area under the graph for distance
- Bounds and error intervals: upper and lower bounds in a calculation context
Worth keeping ticking over even though they have already appeared:
- Surds: rationalising and simplifying, appeared on both Papers 1 and 2 but takes different forms each time
- Vectors: appeared on Paper 2 in a proof context, a simpler path or midpoint question is still possible
- Algebraic proof: appeared on Paper 2 but is a topic that can appear multiple times in a series
- Transformations: Paper 2 had a combined transformation of the function. Describing transformations with full correct notation is still worth reviewing.
How to use the next three days
With only three days between Paper 2 and Paper 3, the approach matters. Do not try to cover everything. Pick the highest priority topics from the list above, work through two or three past paper questions on each, and mark honestly against the mark scheme.
For cumulative frequency and frequency tables, the methods are reliable and the marks are largely procedural. Getting these right consistently is more valuable than spending the same time on a topic that carries fewer marks or where the gain is less predictable.
For sine rule and cosine rule, make sure the two versions of the sine rule are clear (length version and angle version) and that you know when each applies. The most common error is using the wrong rule for the given information.
On the day itself, Paper 3 is a morning sitting. Keep the morning light, read each question carefully before writing anything, and work through the paper in order. If a question is not moving after a reasonable attempt, mark it and return rather than letting it consume time from questions that are within reach.
The priority list above is our honest assessment of where the time is best spent. No prediction is a guarantee, but the analysis is grounded in what has actually appeared across both papers and what the Edexcel Higher specification consistently tests in a full series.
