9709 Pure Mathematics 1 Oct/Nov 2024 Paper 13

21 questions and parts, 75 marks in total. Marks come from the published mark scheme.

1. Question 1

   3 marks · 3/75

   Find a specified term of an arithmetic progression from two known terms.

   Question paper p.2 · Mark scheme p.6

2. Question 2

   2 marks · 5/75

   Question paper p.3 · Mark scheme p.6

3. Question 3 (a)

   3 marks · 8/75

   Use the binomial theorem to extract specified powers from an expansion involving a constant parameter.

   Question paper p.4 · Mark scheme p.6

4. Question 3 (b)

   3 marks · 11/75

   Use selected terms of a product expansion to determine a positive parameter value.

   Question paper p.4 · Mark scheme p.7

5. Question 4

   4 marks · 15/75

   Question paper p.5 · Mark scheme p.7

6. Question 5 (a)

   6 marks · 21/75

   Describe a sequence of graph transformations from a displayed function to its transformed graph.

   Question paper p.6 · Mark scheme p.8

7. Question 5 (b)

   2 marks · 23/75

   Convert a sequence of graph transformations into the form a f(bx+c).

   Question paper p.6 · Mark scheme p.9

8. Question 6

   5 marks · 28/75

   Question paper p.7 · Mark scheme p.9

9. Question 7 (a)

   5 marks · 33/75

   Calculate the area of a composite plate made from a sector, triangles, and semicircles.

   Question paper p.8 · Mark scheme p.10

10. Question 7 (b)

    5 marks · 38/75

    Question paper p.9 · Mark scheme p.10

11. Question 8 (a)

    2 marks · 40/75

    Question paper p.10 · Mark scheme p.11

12. Question 8 (b)

    1 mark · 41/75

    Choose the smallest domain restriction that makes a quadratic function one-to-one.

    Question paper p.10 · Mark scheme p.11

13. Question 8 (c)

    3 marks · 44/75

    Find the inverse of a restricted quadratic function.

    Question paper p.10 · Mark scheme p.11

14. Question 8 (d)

    3 marks · 47/75

    Question paper p.11 · Mark scheme p.12

15. Question 9 (a)

    3 marks · 50/75

    Find the x-coordinates where two cubic curves intersect.

    Question paper p.12 · Mark scheme p.12

16. Question 9 (b)

    4 marks · 54/75

    Question paper p.13 · Mark scheme p.13

17. Question 10 (a)

    4 marks · 58/75

    Show that the centre of a circle through two points lies on their perpendicular bisector.

    Question paper p.14 · Mark scheme p.14

18. Question 10 (b)

    5 marks · 63/75

    Question paper p.15 · Mark scheme p.15

19. Question 11 (a)

    2 marks · 65/75

    Differentiate a function containing a fractional power and a quadratic term once and twice.

    Question paper p.16 · Mark scheme p.16

20. Question 11 (b)

    4 marks · 69/75

    Find and classify the stationary point of a curve for a specified parameter value.

    Question paper p.16 · Mark scheme p.16

21. Question 11 (c)

    6 marks · 75/75

    Determine a parameter from the intersection of two tangents to a parameterised curve.

    Question paper p.17 · Mark scheme p.17