GCSE Further Mathematics - Unit 1 (With calculator) Pure Mathematics - MV18 Paper

Q: What are the required instructions for completing this paper?

Write centre and candidate numbers in the spaces provided, answer all questions in the given spaces using black ink, and show all working clearly. Rounding is to 2 decimal places unless stated otherwise, and partial credit may be awarded for partially correct solutions.

Q: What formula topics are provided on the formula sheet?

The formula sheet covers quadratic equations, differentiation for y=ax^n, integration of ax^n, logarithm rules, and matrix determinant and inverse relationships.

Q: What types of questions appear in the paper?

The questions include finding derivatives and integrals, performing matrix operations such as B+C and AB, solving for a matrix X in equations like LX=M, sketching y=sin x over a specified interval, and solving trigonometric equations.

Sep 5, 2026

Upload by Emma Wilson

GCSE Further Mathematics 2022 Unit 1 Pure Mathematics (with calculator) paper MV18, for the morning session on 1 June. Instructions cover recording centre and candidate numbers, answering all thirteen questions in the provided spaces using black ink, and showing all working. The paper includes a formula sheet covering quadratic equations, differentiation, integration, logarithms, and matrices, followed by problems on derivatives, integration, matrix operations, solving matrix equations, sketching and solving trigonometric equations.

LanguageEnglish

CategoryExam

FormatPDF

Pages44

Reading Time1 h 51 min

AccessFree to download

Instructions to Candidates

Formula Sheet

Pure Mathematics

Questions

Differentiation and Integration

Matrices

Graphs and Trigonometry

Centre Number | | | | | | | --- | --- | --- | --- | --- | General Certificate of Secondary Education 2022 Candidate Number | | | | | | --- | --- | --- | --- | Further Mathematics Unit 1 (With calculator) Pure Mathematics [GFM11] WEDNESDAY 1 JUNE, MORNING MV18 Time 2 hours, plus your additional time allowance. Instructions to Candidates Write your Centre Number and Candidate Number in the spaces provided at the top of this page. You must answer the questions in the spaces provided. Complete in black ink only. All working must be clearly shown in the spaces provided. Marks may be awarded for partially correct solutions. Where rounding is necessary give answers correct to 2 decimal places unless stated otherwise. Answer all thirteen questions. Information for Candidates The total mark for this paper is 100. Figures in brackets printed at the end of each question indicate the marks awarded to each question or part question. You may use a calculator. The Formula Sheet is on page 2. Formula Sheet Pure Mathematics Quadratic equations: If ax2 + bx + c = 0 (a Þ 0) then x = –b~~ ~~rb22a–~~ ~~4ac~~ ~~ Differentiation: If y = axn then ~~ d~~y~~d~~x~~ ~~ = nax n–1 Integration: 􀂜 axn dx = ~~ ~~axnn􀀎1~~ ~~ + c (n Þ –1) Logarithms: If ax = n then x = logan log (ab ) = log a + log b log e ~~ ~~ab~~ ~~ e = log a – log b log an = n log a Matrices: If A = 3ac bd4 then det A = ad – bc and A–1 = ad–1~~ ~~bc 3–d –bc a4 (ad – bc Þ 0) 13063.02 MV18 2 Blank Page (Questions start overleaf) 13063.02 MV18 3 [Turn over 1 Find ~~ d~~y~~d~~x~~ ~~ if y = 8x4 + ~~5~~4x2 + 3 [3 marks] Answer 13063.02 MV18 4 2 Find ∫ f 2x4– 1x3~~ ~~ +1p dx [4 marks] Answer 13063.02 MV18 5 [Turn over 3 (a) Matrices A, B and C are defined by A = –11 34 , B = –21 12 14 and C = ––42 Calculate (i) B + C [2 marks] 1 –2 –7R 0 Answer (ii) AB [2 marks] Answer 13063.02 MV18 7 [Turn over (b) Matrices L and M are defined by L = –51 ––34 and M = 25 –63 Find the matrix X such that LX = M. [4 marks] Answer 13063.02 MV18 8 4 (a) Sketch the graph of y = sin x for –360° < x < 0 ° on the axes below. [1 mark] | | | | | | | | | | | | | | | | | | | | y | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | x | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 13063.02 MV18 9 [Turn over (b) (i) Solve the equation 5 sin x – 4 = 0 for –360° < x < 0 ° [3 marks] Answer

FAQs

What are the required instructions for completing this paper?

Write centre and candidate numbers in the spaces provided, answer all questions in the given spaces using black ink, and show all working clearly. Rounding is to 2 decimal places unless stated otherwise, and partial credit may be awarded for partially correct solutions.

What formula topics are provided on the formula sheet?

The formula sheet covers quadratic equations, differentiation for y=ax^n, integration of ax^n, logarithm rules, and matrix determinant and inverse relationships.

What types of questions appear in the paper?

The questions include finding derivatives and integrals, performing matrix operations such as B+C and AB, solving for a matrix X in equations like LX=M, sketching y=sin x over a specified interval, and solving trigonometric equations.

Sep 5, 2026

Upload by Emma Wilson