0580/31 MATHEMATICS - Paper 3 (Core) - May/June 2018 - Read-instructions for visually impaired candidates

Oct 23, 2026

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Cambridge International General Certificate of Secondary Education Mathematics 0580/31 Paper 3 (Core) for May/June 2018 is a 2-hour assessment suitable for visually impaired candidates. Instructions require candidates to write centre number, candidate number and name in dark blue or black pen, use an HB pencil for diagrams, avoid correction fluid and staples, answer all questions, and show working below each question. The exam uses calculators, specifies rounding rules, and includes tasks covering statistics, fractions and number work, compound interest, exchange rates, and geometry of a quadrilateral.

LanguageEnglish

CategoryExam

FormatPDF

Pages28

Reading Time1 h 11 min

AccessFree to download

Instructions

General examination instructions

Questions

Statistics: book word letters and pictogram

Number and algebraic statements

Money problems: percentages, ratios, compound interest

Exchange rate calculation

Geometry: quadrilateral PQRS and properties

Candidate Name ________________________________ Centre Number ________________________________ Candidate Number ________________________________ CAMBRIDGE INTERNATIONAL EXAMINATIONS Cambridge International General Certificate of Secondary Education 0580/31 MATHEMATICS Paper 3 (Core) May/June 2018 TIME: 2 hours SUITABLE FOR VISUALLY IMPAIRED CANDIDATES Candidates answer on the Question Paper. Additional Materials: Electronic calculator Geometrical instruments Tracing paper (optional) Insert for Questions 1(b), 4, 5, 8 and 10. READ INSTRUCTIONS OVERLEAF DC (LK/CB) 172305 The whole of this paper is © UCLES 2018. READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer ALL questions. If working is needed for any question it must be shown below that question. Electronic calculators should be used. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For π , use either your calculator value or 3.142. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 104. 2 BLANK PAGE 3 1 Mr Marr asks his mathematics class to complete a statistics project about books. (a) Olga counts the number of letters in each of the last 50 words in the book she is reading. She has only counted the letters in 43 words so far. Her results for these 43 words are shown in the table below. | Number of letters in each word | Tally | | | | | | | | | | | Frequency | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | | | | | | | 1 | | | | | | | | | | | | | | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 3 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 5 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6 | | | | | | | | | | | | | | 7 | | | | | | | | | | | | | | 8 | | | | | | | | | | | | | | 9 | | | | | | | | | | | | | The last seven words in the book that Olga needs to add to the table are ………. and they all lived happily ever after. (i) Complete the tally and frequency columns in the table. [2] 4 (ii) Find the range. 􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟 [1] (iii) Find the median. 􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟 [1] 5 (b) Billie asks 60 students in his school what their favourite type of book is. He has started to draw a pictogram (Insert) to show his results. The science fiction row in the pictogram is complete. (i) Complete the key on the Insert. There is one space to fill. [1] (ii) Complete the pictogram. There are five spaces to fill. [2] (iii) Write down the mode. [1] 􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟 (iv) Work out how many more students choose detective books than music books. 􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟 [1] (v) Work out the fraction of students who did NOT choose romance books. [2] 􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟 6 2 (a) Write down (i) the number twenty seven million, three hundred and sixty thousand and forty five in figures, 􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟 [1] (ii) the six factors of 20, 􀁟􀁟􀁟􀁟􀁟 , 􀁟􀁟􀁟􀁟􀁟 , 􀁟􀁟􀁟􀁟􀁟 , 􀁟􀁟􀁟􀁟􀁟 , 􀁟􀁟􀁟􀁟􀁟 , 􀁟􀁟􀁟􀁟􀁟 [2] 7 (iii) a fraction that is equivalent to 9 , 􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟 [1] (iv) a prime number between 30 and 40. 􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟􀁟 [1] (b) For each statement, insert one pair of brackets to make it correct. (i) 17-3

FAQs

What are the key rules candidates must follow when completing the paper?

Candidates must write centre number, candidate number, and name on all work using dark blue or black pen. They should answer all questions, show working where needed, and avoid staples, paper clips, glue, correction fluid, and writing barcodes.

Which tools are allowed for this examination?

An electronic calculator and geometrical instruments are allowed. Tracing paper is optional, and an HB pencil may be used for diagrams or graphs.

What topics are covered in the questions?

The paper includes statistics tasks such as tallying and frequency from word lengths and completing a pictogram. It also covers number and factor work, equivalent fractions, percentage and ratio spending, compound interest, exchange rate calculations, and geometry involving a quadrilateral PQRS.

Oct 23, 2026

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