The Cambridge IGCSE International Mathematics (0607) May/June 2026 papers and mark schemes are out, and they’re free. All six papers, 0607/12 to 0607/62, can be downloaded and printed on the Tutopiya Learning Portal. Below is a breakdown of what each paper tested and how the mark scheme gave marks, including the communication marks on the investigation papers.

Key points from the 2026 0607 papers

• Papers 5 and 6 shared one investigation: the game of Nim. Both asked you to find winning numbers of sticks and turn the pattern into nth terms. Paper 6 added a second section on modelling regular savings with compound interest.
• Sequences and nth terms ran through every tier. Stick patterns on Paper 1, an alternating sequence on Paper 4 and nth terms on almost every Nim question.
• The calculator papers expect a graphic display calculator. Paper 3 Question 14 and Paper 4 Question 5 asked you to sketch graphs and read off minimum points, zeros and solutions.
• Functions and logarithms were tested on the non-calculator Extended paper. Paper 2 Question 16 (10 marks) covered inverse and composite functions, including a log function and its inverse.
• Accuracy instructions changed from question to question: 3 significant figures as standard, but 3 decimal places on Paper 3 Question 6(b) and 2 decimal places on Paper 4 Question 9.

All May/June 2026 0607 papers

Paper	Code	Duration	Marks	Who sits it
Paper 1 Non-calculator (Core)	0607/12	1 hour 15 minutes	60	Core
Paper 2 Non-calculator (Extended)	0607/22	1 hour 30 minutes	75	Extended
Paper 3 Calculator (Core)	0607/32	1 hour 15 minutes	60	Core
Paper 4 Calculator (Extended)	0607/42	1 hour 30 minutes	75	Extended
Paper 5 Investigation (Core)	0607/52	1 hour 15 minutes	40	Core
Paper 6 Investigation and Modelling (Extended)	0607/62	1 hour 30 minutes	50	Extended

Timings and marks are taken from the front cover of each 2026 paper. Each paper comes with its official Cambridge mark scheme. For the full list of syllabus content, see the Cambridge IGCSE International Mathematics 0607 syllabus.

Which variant is this? Cambridge sets different versions of each paper (variants) for different time zones. The papers here are variant 2: 0607/12, /22, /32, /42, /52 and /62. All variants cover the same syllabus at the same difficulty, so variant 2 is just as good for practice as the one your school sat.

Download the 0607 May/June 2026 papers →

What came up in 0607 Paper 4 (Calculator, Extended), May/June 2026?

Paper 4 had 19 questions worth 75 marks. Three questions (5, 15 and 17) carried 31 of them.

Question	Topic	Marks
1	Naming a quadrilateral from its symmetry	1
2–4	Simplifying expressions, factorising	5
5	Sketching a rational function: zero, local maximum, range of k for one solution, describing a translation	10
6	HCF of two numbers, LCM of algebraic terms	3
7	Reverse percentage: original price before a 20% sale	2
8	Number of sides of a regular polygon	2
9	Quadratic formula, answers to 2 decimal places	3
10	Inverse proportion	2
11	Sequence with alternating signs: next term and nth term	3
12	Depreciation at 10% a year: value 2 years ago, years until below $10 000	6
13	Standard form calculations	4
14	Similar solids where one volume is twice the other	2
15	Quadrilateral: area using ½ab sin C, perimeter using the cosine rule, shortest distance to a line	11
16	Finding the radius of a sector from its area	3
17	Grouped data: mean, cumulative frequency curve, median, lower quartile, probability of picking two from one class	10
18	Square-based pyramid: face area, surface area, angle with the base	4
19	Simplifying an algebraic fraction	4

What made it hard: Question 17(c) worked backwards. You were given the probability of choosing two students from one class and had to find which class it was, showing how you decided.

What came up in 0607 Paper 2 (Non-calculator, Extended)?

Paper 2 had 18 questions worth 75 marks.

Question	Topic	Marks
1	Measuring a reflex angle, angles with parallel lines	3
2	Probability and expected number of trains on time	2
3	Time interval running into the next day	1
4	Translation and describing a rotation	5
5	Simple interest: finding the rate	3
6	Vectors: column vector, magnitude, finding a point	6
7	Adding mixed numbers	3
8	Formula with a cube root: substituting and rearranging	3
9	Surface area of a cylinder and hemisphere in terms of π	4
10	Circle and isosceles triangle angles	3
11	Solving a linear equation	3
12	Venn diagram: set notation, probability, two picks without replacement	6
13	Indices, including fractional powers	4
14	Area of a triangle from a line’s intercepts, perpendicular line	6
15	Exact values of cos 30° and cos 330°	2
16	Functions: inverse, composite, logarithmic function and its inverse	10
17	Surds: simplifying and rationalising	5
18	Two-stage journey: forming and solving a quadratic by factorising	6

Watch for: Question 18(a) was a “show that”. The scheme needs at least one line of working and the final equation reached with no errors or omissions.

What came up in 0607 Paper 3 (Calculator, Core)?

Paper 3 had 14 questions worth 60 marks.

Question	Topic	Marks
1	Quadrilateral on a grid: name, coordinates, perimeter and area	5
2	Number in words, multiples, cube numbers, prime numbers	4
3	Comparing a percentage and a fraction of $360	3
4	Bar chart of marathon times, probability as a fraction	5
5	Ratio in simplest form, sharing in a ratio	4
6	Cube root, calculation to 3 decimal places	3
7	Simplifying, factorising, expanding brackets	5
8	Simple interest	3
9	Angles in a quadrilateral with one side extended	3
10	Substitution and rearranging	3
11	Empty space in a tube holding two tennis balls (cylinder and spheres)	5
12	Tree diagram for rain and walking	3
13	Trigonometry and Pythagoras	6
14	Sketching a quadratic and a cubic, local minimum, solving where they meet	8

What came up in 0607 Paper 1 (Non-calculator, Core)?

Paper 1 had 15 questions worth 60 marks.

Question	Topic	Marks
1	Shopping bill and change	5
2	Mode, mean and median of test scores	5
3	Time: hours in days, 24-hour clock, appointment time	4
4	Probability and expected number of right-handed students	2
5	Stick patterns: drawing, table, nth term	5
6	Regular hexagon: perimeter formula, side length, interior angle	6
7	Fraction to percentage, 5% price reduction	4
8	Solving a linear equation and simultaneous equations	5
9	Two cuboids with equal volume	3
10	Powers of 2	1
11	Venn diagram: listing sets, describing shaded regions in set notation	5
12	Translation, reflection, describing a rotation	6
13	Angles in a circle with parallel lines	3
14	Standard form	3
15	Midpoint and equation of a line	3

What came up in 0607 Papers 5 and 6 (Investigation and Modelling)?

Paper 5 (Core) was one investigation: Nim, a game where two players take turns removing sticks and whoever takes the last stick wins.

Question	Topic	Marks
1	Taking 1 or 2 sticks: completing game tables, spotting that multiples of 3 win	12
2	Total number of moves to win, working forwards and backwards	4
3	Taking 1, 2 or 3 sticks: multiples of 4	5
4	General rule for taking up to k sticks, (k + 1)n, and the values of k for 30 sticks	9
5–7	You start the game: first moves and nth terms of winning starting numbers	10

Paper 6 (Extended) had two sections, with 45 minutes advised for each.

Section	Question	Topic	Marks
A: Investigation (Nim)	1–5	Winning positions, the (k + 1)n rule, values of k for 30 sticks, a formula for total moves, a table for 50 sticks and different k	25
B: Modelling (regular investment)	6–10	Compound interest on one deposit, then a yearly deposit, deriving a geometric-series model, applying it, adapting it to monthly deposits, then sketching and finding a linear model	25

What this means for you: the Nim questions on Papers 5 and 6 overlap heavily, so whichever tier you sit, the other paper’s Section A is extra practice on the same ideas.

How the 0607 May/June 2026 mark scheme gives marks

1. M, A and B marks on Papers 1 to 4. M marks reward a correct method, A marks the accurate result (only if the method mark is earned), and B marks stand alone. Paper 1 Question 8(b) (simultaneous equations, 3 marks) gave M1 for eliminating one variable, then A1 for x = 3 and A1 for y = 2. The front cover of Papers 1 to 4 says you get marks for correct methods even if the answer is wrong.

2. Follow through (FT) keeps later marks alive. In Paper 1 Question 6, the side length and interior angle marks follow through from your perimeter formula in part (a)(i). For 2 marks in (a)(i), though, P had to be the subject of the formula.

3. Accuracy is set on the cover and sometimes in the question. Papers 3 and 4 say non-exact answers go to 3 significant figures, or 1 decimal place for angles. Paper 3 Question 6(b) asked for 3 decimal places and was cao: 0.082, with only B1 for 0.0816. Paper 3 Question 14(c) needed −2.24 and 2.24; −2.2 and 2.2 got just a special-case mark.

4. “Show all your working” means it. Paper 4 Question 9 told you to use the quadratic formula and show working. M2 was for the correct substitution and B1 for both answers to 2 decimal places (−0.85 and 1.18).

5. nfww and trial methods. Paper 4 Question 12(b) (car value below $10 000) is 8 years nfww, 4 marks. The scheme accepts logarithms, a sketch, or correct year-by-year trials. Stopping at 7.77 gets B3, not full marks, because the question asked for complete years.

6. Graphs from your calculator must be sketched properly. Paper 4 Question 5(a) gave 3 marks for the sketch, with separate credit for each branch. Branches tending to the axes could touch them but not cross them. Paper 4 Question 17 read the median and quartile from your curve to within 1 small square, but gave no follow through from a straight line.

7. Papers 5 and 6 have communication (C) marks. The cover of both papers says marks are given for full reasons, examples and steps. In the mark schemes, these appear as C1 or C2. Paper 5 Question 2(a) gave 1 mark for the answer and C1 for showing the pattern (for example, differences of 2). In Paper 5 Question 4(b) and Paper 6 Question 2(b), finding the values of k scored 2 marks, and listing the factors of 30 you used scored C2 more.

8. Modelling marks reward the setup, not just the number. In Paper 6 Question 6(b) (years to reach $1000), C2 went to writing the inequality, using logarithms, sketching the graph or showing trials either side of the answer. The final mark was for 18 years. Question 8(c) gave C2 for setting up the equation with the model before the 1 mark for about $125. Question 10(b)(ii) accepted a linear model T = mR + 750 with a gradient between 60.3 and 64.4.

Which papers should you sit?

• Extended candidates: Paper 2 (non-calculator), Paper 4 (calculator) and Paper 6 (investigation and modelling).
• Core candidates: Paper 1 (non-calculator), Paper 3 (calculator) and Paper 5 (investigation).

You need a graphic display calculator for Papers 3 to 6. If you only practise with a scientific calculator, the sketching questions will cost you time.

How to use the 2026 papers as a mock

1. Keep them for last. Use older 0607 papers for topic practice and save May/June 2026 for a full mock two to four weeks before your exam.
2. Sit all three papers for your tier, timed. On Paper 6, stick to about 45 minutes per section, as the cover advises.
3. Mark Papers 5 and 6 for communication too. For each answer, check that you wrote the reason, table or equation the C marks ask for, not just the number.
4. Practise your calculator sketches. Redo Paper 3 Question 14 or Paper 4 Question 5 until you can find zeros, turning points and intersections quickly.
5. Log every lost mark. Note whether it was a missing method, a rounding error, a missing reason or a calculator slip, and fix them in that order.

More IGCSE International Maths resources

• Cambridge IGCSE 0607 past papers (International Maths, all years)
• IGCSE past papers 2026: all subjects

🔍 Looking for a specific past paper? Use our free Past Paper Finder to search by subject, year and exam board.

Need help with a 0607 topic? Book a free trial lesson with an IGCSE International Mathematics tutor →

Frequently asked questions

Are the 0607 May/June 2026 past papers free? +

Yes. All six question papers (0607/12 to 0607/62) and their official mark schemes are free to download and print on the Tutopiya Learning Portal.

What topics came up in 0607 Paper 4 May/June 2026? +

Paper 4 (0607/42) had 19 questions. The largest were a quadrilateral needing the area formula, the cosine rule and a shortest distance (11 marks), a graph of a function sketched on a graphic display calculator (10 marks) and a grouped frequency and cumulative frequency question (10 marks).

What was the 0607 Paper 6 investigation in 2026? +

Section A was an investigation into the game of Nim, finding winning numbers of sticks and nth terms. Section B was a modelling task on regular investments with compound interest, ending with a linear model. Paper 5 (Core) used the same Nim investigation.

How are 0607 Papers 5 and 6 marked? +

They use ordinary answer marks plus communication marks, shown as C1 or C2 in the mark scheme. C marks are given for showing your method clearly, such as listing the factors you used, setting out a full table or writing the inequality you solved, so a correct answer with no reasoning can lose marks.

Why can't I find 0607/41 or 0607/43 for 2026? +

Only variant 2 of the May/June 2026 papers is on the portal at the moment. Cambridge sets different variants for different time zones; variants 1 and 3 test the same syllabus in the same format, so variant 2 prepares you just as well.

When will the October/November 2026 0607 papers be available? +

Cambridge usually releases the October/November papers in the new year. We add them to the Learning Portal once they are published.

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