SPECIMEN MATERIAL v2 - AQA Level 2 Certificate in Further Mathematics (8365/1) - Paper 1 - Specimen 2020

Sep 5, 2026

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SPECIMEN MATERIAL v2.0 for the AQA Level 2 Certificate in Further Mathematics (8365/1) Paper 1, Specimen 2020, designed for 1 hour 45 minutes and a total of 80 marks. The paper focuses on core algebra, equation solving, simplification, coordinate geometry of lines and rhombus area, and calculus-style curve sketching with given stationary points. It also includes a circle-angles proof requiring trigonometric reasoning and a function composition problem to determine an unknown constant p.

LanguageEnglish

CategoryExam

FormatPDF

Pages20

Reading Time50 min

AccessFree to download

Instructions

Candidate information and general rules

Questions

Q1 Algebraic powers and exponent relationships

Q2 Linear equation solving

Q3 Solving for parameters in an identity

Q4 Coordinate geometry with a ratio on a straight line

Q5 Differentiation-style expression manipulation

Q6 Algebraic simplification

Q7 Rhombus area using geometry and angles

Q8 Curve given by a cubic with maximum, minimum and intercepts

Q9 Circle angle relationships and diameter proof

Q10 Functions with an unknown constant

SPECIMEN MATERIAL v2 .0 AQA Level 2 Certificate in FURTHER MATHEMATICS ( 8365/1 ) Paper 1 Specimen 2020 Time allowed: 1 hour 45 minutes Materials | For this paper you must have:
• mathematical instruments You may not use a calculator | | | --- | --- | Instructions • Use black ink or black ball-point pen. Draw diagrams in pencil. • Fill in the boxes at the bottom of this page. • Answer all questions. • You must answer the questions in the space provided. Do not write outside the box around each page or on blank pages. • Do all rough work in this book. Cross through any work that you do not want to be marked. • In all calculations, show clearly how you work out your answer. Information • The marks for questions are shown in brackets. • The maximum mark for this paper is 80. • You may ask for more answer paper, graph paper and tracing paper. These must be tagged securely to this answer booklet. | Please write clearly, in block capitals, to allow character computer recognition. | | | | | --- | --- | --- | --- | | Centre number | | Candidate number | | | Surname | | | | | Forename(s) Candidate signature | | | | There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED Answer all questions in the spaces provided. y 6 × y 4 1 (a) y m = y Circle the value of m. [1 mark] – 2 1.5 2 3 1 (b) an × a5 = a5 Work out the value of n. [1 mark] Answer 1 (c) (c5)p = (c2)6 Work out the value of p. [2 marks] Answer 2 Solve 37x −13 = 2 [2 marks] | | | --- | | | | | x = 3 3a(2x – 1) + 4(ax + 5) ≡ 60x + b Work out the values of a and b. [4 marks] | | | --- | | | | | | | | | | | | | | | | | | | a = b = | 4 ABC is a straight line with AB : BC = 5 : 2 | | | --- | --- | | | Not drawn accurately | | Work out the coordinates of C.
[4 marks]

Answer ( , ) | | 5 y = 2x10 − ~~ ~~3x2 Work out d~~d~~yx [3 marks] | | | --- | | | Answer 6 Simplify fully ~~ ~~15x2~~ ~~y12x~~ ~~−54xyy2~~ ~~ [3 marks] | | | --- | | | | | | | Answer | 7 ABCD is a rhombus with side length 8 cm Angle ABC = 60o | | | | --- | --- | --- | | B | A D
| Not drawn accurately | | Work out the area of the rhombus.
Give your answer in the form a b cm2 where a and b are integers.
[3 marks]

Answer cm2 | | | 8 The curve y = 2x3 – 3x2 – 12x + 6 has a maximum point at L (–1, 13) has a minimum point at M (2,–14) intersects the y-axis at N. The curve crosses the x-axis at three distinct points. On the axes below, sketch the curve. Label the points L, M and N on your sketch. [3 marks] y O x | 9 A, B, C and D are points on a circle.
∠BCA = x ∠ACD = 2x ∠ CAD = 3x ∠ CAB = 4x | | | | --- | --- | --- | | C |
B
x
4x
2x 3x
D | Not drawn accurately
A
[4 marks] | | Prove that AC is a diameter. | | | | | | | 10 f(x) = 􀂧􀂨􀂩 ~~ ~~9x2~~ ~~ 􀂷􀂹􀂸 −1 g (x) = 1 − px3 where p is a constant. Given that f 􀂧􀂨􀂩 ~~ ~~13􀂷􀂹􀂸 = g ~~ ~~13􀂷􀂹􀂸 work out the value of p. [5 marks] | | | --- | | | | | | | | | | | | | | | | | | | | | | | | | Answer

FAQs

What are the key exam rules for answering on this paper?

Use black ink/ball-point pen, draw diagrams in pencil, answer all questions, and write only in the spaces provided. Do all rough work in the book and cross out work not to be marked.

How many marks and how long is this specimen paper?

The maximum mark is 80, and the time allowed is 1 hour 45 minutes.

Which topics are covered by the questions in this specimen?

The paper includes algebra with indices and identities, equation solving, geometry involving coordinates and a rhombus, curve sketching for a cubic, circle-angle reasoning, and a functions problem to find a constant.

Sep 5, 2026

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