80 marks · 2h. Each generated paper follows the 0606 Paper 2 · Calculator format, with the same number and style of questions as the real exam, and comes with a Cambridge-style mark scheme.
Generate Paper 2 · Calculator →The line y + 4x = 8 meets the curve xy = 4 at the points A and B.
Find the coordinates of A and B and the length of AB.
| Part | Answer and marking points | Marks |
|---|---|---|
| (1, 4), (1, 4); 0 substitute y = 8 − 4x M1 4x2 − 8x + 4 = 0 A1 solve M1 (1, 4) and (1, 4) A1 distance formula M1 0 A1 | 6 |
Find the area enclosed between the curve y = x2 − 7x + 10 and the x-axis.
| Part | Answer and marking points | Marks |
|---|---|---|
| 92 roots x = 2 and x = 5 B1 integrate M1 substitute limits M1 92 A1 | 4 |
Solve x2 − 4 > 0.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | x < −2, x > 2 factorise / critical values M1 −2 and 2 A1 x < −2, x > 2 A1 | 3 |
Find the values of k for which the line y = kx + 1 is a tangent to the curve y = x2 + 17.
| Part | Answer and marking points | Marks |
|---|---|---|
| k = ±8 x2 − kx + 16 = 0 M1 b2 − 4ac = 0: k2 = 64 M1 k = ±8 A1 | 3 |
Express 3x2 + 18x + 32 in the form a(x + b)2 + c.
Hence write down the minimum value of the expression and the value of x at which it occurs.
Find the set of values of k for which x2 + kx + 25 = 0 has no real roots.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | 3(x + 3)2 + 5 a = 3 B1 b = 3 B1 c = 5 B1 | 3 |
| (b) | minimum 5 at x = −3 5 B1 x = −3 B1 | 2 |
| (c) | −10 < k < 10 k2 − 4(25) < 0 M1 critical values ±10 A1 −10 < k < 10 A1 | 3 |
The 3rd term of an arithmetic progression is 21 and the 10th term is 56. Find the first term, the common difference and the sum of the first 20 terms.
A geometric progression has first term 79 and common ratio 0.5. Find the sum to infinity.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | a = 11, d = 5, S20 = 1170 Two equations formed M1 d = 5 A1 a = 11 A1 S20 = 1170 A1 | 4 |
| (b) | 158 a ÷ (1 − r) M1 158 A1 | 2 |
All IGCSE Additional Mathematics papers and topics
Riyaz Shaikh has mentored IGCSE, IB and A Level students for 15+ years, one-on-one, online and in Mumbai. The hardest questions on this site are the ones he uses to find a student's weak points.
Meet Riyaz →Original Cambridge-style practice questions written for mentorriyaz.in. These are not Cambridge past paper questions, and this site is not affiliated with or endorsed by Cambridge University Press & Assessment. Updated 2026-11-04. Paper generator · mentorriyaz.in