Free predicted papers tool
Free Predicted Exam Papers Tool (IGCSE & A Level Maths, Physics, Chemistry)
Predicted-style practice papers for Maths, Physics and Chemistry — built from high-frequency topic trends and common exam skills (original questions, not past-paper copies).
Builds a full paper in an exam-like format (questions, marks, timing) — then you can print/download the PDF.
Tutopiya is the world's largest IGCSE & A Level resources bank and tutoring platform.
Disclaimer: not official, not guaranteed. Use alongside full syllabus revision and past papers.
Choose your paper
We’ll expand the bank over time. For now, this is a static MVP with a small set of example questions.
Your predicted-style paper
Mathematics • Paper 4 (Structured) • Extended • IGCSE
Target: 12 questions • ~130 marks • 150 minutes
Cambridge IGCSE syllabus: 0580
Q1
Inequalities • 9 marks
Solve the inequality: 2(x − 3) ≤ 5 − x < 3x + 1. Write your answer as a compound inequality.
Q2
Indices & standard form • 9 marks
Write in standard form. Then simplify: Give your final answer in standard form.
Q3
Transformations • 9 marks
A point P has coordinates (2, −1). (a) After a rotation of 90° anticlockwise about the origin, find the coordinates of P'. (b) P' is then reflected in the line y = x to give P''. Find P''. (c) Describe a single transformation that maps P to P''.
Q4
Trigonometry (non-right triangle) • 10 marks
Triangle ABC has AB = 9.2 cm, AC = 7.5 cm and angle BAC = 48°. (a) Calculate BC. (b) Calculate the area of triangle ABC. Give answers to 3 significant figures.
Q5
Mensuration (compound solids) • 12 marks
A solid consists of a cylinder of radius 4 cm and height 10 cm with a hemisphere of radius 4 cm attached on top. (a) Find the total volume. (b) Find the total external surface area (including the circular base). Give answers to 3 significant figures.
Q6
Functions & graphs • 10 marks
A function is defined by f(x) = 2x^2 − 3x − 2. (a) Find f(−1) and f(3). (b) Solve f(x) = 0. (c) The line y = 4x − 6 intersects the curve y = f(x). Find the x-coordinates of the intersection points.
Q7
Statistics (cumulative frequency) • 11 marks
The masses of 80 parcels are grouped into intervals. Mass (kg): 0–2, 2–4, 4–6, 6–8, 8–10 Frequencies: 6, 18, 28, 20, 8 (a) Calculate an estimate of the mean mass. (b) Find the median class. (c) Estimate the interquartile range.
Q8
Probability (tree/conditional) • 10 marks
A box contains 6 white and 4 black balls. Two balls are drawn at random without replacement. (a) Find P(both white). (b) Find P(one of each colour). (c) Given that the first ball is black, find the probability that the second ball is white.
Q9
Vectors • 9 marks
Points A, B and C have position vectors a, b and c. Point P divides AB in the ratio 2:3 (AP:PB = 2:3). (a) Find the position vector of P. Point Q divides AC in the ratio 1:4 (AQ:QC = 1:4). (b) Find the position vector of Q. (c) Express PQ in terms of a, b and c.
Q10
Algebra (simultaneous equations) • 10 marks
Solve the simultaneous equations: 2x + 3y = 19 x − y = 1 (a) Find x and y. (b) Hence find the value of 4x − y.
Q11
Rates (speed/time) • 9 marks
A car travels the first 72 km at an average speed of 60 km/h and the next 88 km at an average speed of 80 km/h. (a) Find the total time for the journey. (b) Find the average speed for the whole journey.
Q12
Functions (composite/inverse) • 12 marks
Let f(x) = 5x − 1 and g(x) = 2x^2. (a) Find (g ∘ f)(x) and simplify. (b) Find f^−1(x). (c) Solve f(x) = g(x).
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How “predicted papers” work
- Trend focus: we prioritise high-frequency topics and common mark scheme skills (definitions, calculations, explanations).
- Original questions: we write fresh questions to avoid copying past papers.
- Best use: do predicted-style practice after you’ve revised content, then use past papers for timing and exam technique.
FAQ
Are these official predicted papers from the exam boards?
No. Tutopiya’s predicted papers are predicted-style practice papers created to mirror common exam skills and high-frequency topics. They are not produced by Cambridge International or Pearson.
Are the questions taken from past papers?
No. We don’t copy or republish past paper questions. The practice papers use original questions inspired by topic trends and typical question styles.
Will this guarantee what comes in the exam?
No. No tool can guarantee exact exam content. Use this as structured practice alongside full syllabus revision and past papers.
Which subjects are supported?
We’re starting with Maths, Physics and Chemistry for IGCSE and International AS & A Level, and expanding over time.
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