Further Mathematics Level 2 - Practice Paper Set 3 - Paper 1 - Non-Calculator

Sep 5, 2026

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Practice Paper Set 3, Paper 1 for Further Mathematics Level 2 tests algebra, trigonometry, quadratics, matrices, transformations, and calculus. Learners must complete all questions within the provided answer boxes without using a calculator, following instructions on showing full working and drawing diagrams neatly. A formulae sheet is supplied covering spheres, cones, triangle geometry, sine/cosine rules, quadratic solutions, and trigonometric identities. The maximum mark is 70 with a total test time of 1 hour 30 minutes.

LanguageEnglish

CategoryExam

FormatPDF

Pages16

Reading Time40 min

AccessFree to download

Instructions

Answering and formatting rules

Formulae sheet

Questions

| Centre Number | | | | | | Candidate Number | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | Surname | | | | | | | | | | | | Other Names | | | | | | | | | | | | Candidate Signature | | | | | | | | | | | Level 2 Certificate in Further Mathematics Further Mathematics Level 2 Practice Paper Set 3 Paper 1 Non-Calculator 8360/1 | For this paper you must have:
􀁸 mathematical instruments. You may not use a calculator. | | | | --- | --- | --- | | For Examiner’s Use | | | --- | --- | | Examiner’s Initials | | | Pages | Mark | | 3 | | | 4-5 | | | 6-7 | | | 8-9 | | | 10-11 | | | 12-13 | | | 14-15 | | | TOTAL | | Time allowed 1 hour 30 minutes Instructions 􀁸 Use black ink or black ball-point pen. Draw diagrams in pencil. 􀁸 Fill in the boxes at the top 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 tobe 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 70. 􀁸 You may ask for more answer paper, graph paper and tracing paper. These must be tagged securely to this answer booklet. 8360/1 Formulae Sheet Volume of sphere = 43 􀁓r3 Surface area of sphere = 4􀁓r2 Volume of cone = 13 􀁓r2 h Curved surface area of cone = 􀁓rl In any triangle ABC Area of triangle = 12 ab sin C Sine rule sianA = sibnB = sicnC Cosine rule a 2 = b 2 + c 2 – 2bc cos A A C c B cos A = b 2 􀀎 c 2 􀀐 a 2 2bc The Quadratic Equation The solutions of ax2 + bx + c = 0, where a 􀁺 0, are given by x = _~~ ~~b~~ ~~􀁲~~ ~~(b22a~~ ~~_~~ ~~4ac) Trigonometric Identities tan 􀁔 􀁻 scoinsθ~~θ ~~ sin 2 􀁔 + cos 2 􀁔 􀁻 1 3 | Answer all questions in the spaces provided. | | | | | --- | --- | --- | --- | | 1
2 | Work out the exact value of w. | | | | | 1
2 | | Not drawn accurately | | | .
. . . . w =
5(3x 􀀐 2) 􀀐 3(x 􀀐 h) 􀁻 4(kx + 2)
Work out the values of h and k. ............................. .... (4 marks)
. . . . .
h = , k = (4 marks) | | | Do not write outside the box | | | --- | | 8 | Turn over 􀁦 4 3 Solve ~~ ~~y~~ ~~~~ ~~2 + 2y4􀀎~~ ~~1 = 3 ………….……………………………………………………………………………………. ………….……………………………………………………………………………………. ………….……………………………………………………………………………………. ………….……………………………………………………………………………………. ………….……………………………………………………………………………………. ………….……………………………………………………………………………………. y = ..…. ....................................................... .... (4 marks) 4 O is the centre of this circle. Work out the value of x. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. x = degrees (3 marks) Do not write outside the box 5 5 Simplify fully 20a9b 6 ÷ 4a3b 2 ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. Answer ...….................................................................. (2 marks) 6 The matrix 􀂨􀂧􀂩 􀀐aa b2b􀂷􀂹􀂸 maps the point (5, 4) onto the point (1, 17) . Work out the values of a and b. a = , b = (5 marks) Do not write outside the box | | | --- | | 14 | Turn over 􀁦 6 7 f(x) is a quadratic function with domain all real values of x. Part of the graph of y = f(x) is shown. y x Do not write outside the box 7 7 (a) Write down the range of f(x) . Answer .... ... ... ........................................................... ........ ( 1 mark) 7 (b) Use the graph to find solutions of the equation f(x) = 1 Give your solutions to one decimal place. Answer ........................................................................... (2 marks) 7 (c) Use the graph to solve f(x) 􀀟 0 Ans

FAQs

Is a calculator allowed for this paper?

No. The paper specifies non-calculator, so learners may not use a calculator.

What is the maximum mark and time allowed?

The maximum mark is 70 and the time allowed is 1 hour 30 minutes.

What should learners do with rough work and diagrams?

Rough work should be done in the book, and any work not to be marked should be crossed through. Diagrams should be drawn in pencil.

Sep 5, 2026

Upload by Mabel