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\nCandidate number  \nCentre number  \nSurname  \nForename(s)  \nCandidate signature  \nI declare this is my own work.  \nGCSEMATHEMATICS  \nH  \nHigher Tier  \nPaper 1 Non-Calculator  \nTime allowed:1 hour 30 minutes  \nMaterials  \n\n| For Examiner's Use   |  |\n| --- | --- |\n| Pages   | Mark   |\n| 2-3   |  |\n| 4-5   |  |\n| 6-7   |  |\n| 8-9   |  |\n| 10-11   |  |\n| 12-13   |  |\n| 14-15   |  |\n| 16-17   |  |\n| 18-19   |  |\n| 20-21   |  |\n| 22-23   |  |\n| 24-25   |  |\n| 26   |  |\n| TOTAL   |  |\n\nFor this paper you must have:  \n● mathematical instruments  \nYou must not use a calculator.  \n# Instructions\n\n·Use black ink or black ball-point pen.Draw diagrams in pencil.  \n·Fill in the boxes at the top of this page.  \n·Answer all questions.  \n·You must answer the questions in the spaces provided.Do not writeoutside the box around each page or on blank pages.  \n·If you need extra space for your answer(s),use the lined pages at the endof this book.Write the question number against your answer(s).  \n·Do all rough work in this book.Cross through any work you do not want tobe marked.  \n# Information\n\n·The marks for questions are shown in brackets.  \n·The maximum mark for this paper is 80.  \n·You may ask for more answer paper,graph paper and tracing paper.These must be tagged securely to this answer book.  \n# Advice\n\nIn all calculations,show clearly how you work out your answer.  \n8300/1H  \nIB/M/Jun21/E7  \nPhysicsAndMathsTutor.com  \nAnswer all questions in the spaces provided.  \n(a⁵³  \nSimplify  \nCircle your answer.  \na⁸  \n8a  \n15a  \nx≠0.4  \n2  \nCircle the possible value of x.  \n3Circle the solid that has 7 vertices.  \nhexagonal  \npentagonal  \nprism  \nprism  \nDo not write  \noutside the  \nbox  \n[1 mark]  \n[1 mark]  \n[1 mark]  \npentagon-based  \npyramid  \nPhysicsAndMathsTutor.com  \nHere is a sketch of a graph.  \n0  \nX  \nCircle the equation of the graph.  \nkis a constant.  \ny=k+x  \ny=kx  \ny=k-x  \n5Write 200 as a product of prime factors.Give your answer in index form.  \nAnswer                    3×5 ①  \nDo noft wnite  \noutside the  \nbox  \n[1 mark]  \n[3 marks]  \nPhysicsAndMathsTutor.com  \n4  \n\n| 6  \u003Cbr>Lily's age is 2 years and 4 months.  \u003Cbr>Hugo's age is 1 year and 8 months.  \u003Cbr>Write Lily's age in months as a fraction of Hugo's age in months.  \u003Cbr>Give your fraction in its simplest form.  \u003Cbr>[2 marks]  \u003Cbr>Lily:(2×12)+4=28 months  \u003Cbr>Hugo:(1×12)+8=20 Months  \u003Cbr>②  \u003Cbr>Answer  \u003Cbr>7  \u003Cbr>Use approximations to estimate the answer to  \u003Cbr>[3 marks]  \u003Cbr>√7   100 =10  \u003Cbr>1(2)(  \u003Cbr>2.014³=2³=8  \u003Cbr>①  \u003Cbr>①  \u003Cbr>36  \u003Cbr>Answer___   |\n| --- |\n\nDo not wite  \noutside the  \nbox  \nPhysicsAndMathsTutor.com  \n5  \n8 (a)   Solve5x+6>3x+15  \n[3 marks]5x-3x>15-6①2x>90                            Answer                           \n8(b)  Write down the inequality represented by the number line.  \n[2 marks]  \n2≤x\u003C5  \n②  \nAnswer  \nDo not write  \noutside the  \nbox  \nPhysicsAndMathsTutor.com  \nThe diagram shows an octagon.  \nNot drawn  \naccurately  \nx=1 and y=5 are lines of symmetry.  \nWork out the coordinates of point Q.  \n[2 marks]  \n    X=|+3 =4                         \n   y=5+il=1                    \ni6   \nAnswer(  \n   4      \n,_  \nPhysicsAndMathsTutor.com  \n7  \nDo not write  \noutside the  \nbox  \n10(a)   Work out 2000×70000  \nGive your answer in standard form.  \n[2 marks]  \n2×10×+×10⁴①  \n2×7×13+4  \n14×10²  \n:1·4×10⁸①  \n1.4×108  \nAnswer  \n10(b)  \nWork out  \nGive your answer as an ordinary number.  \n[2 marks]  \n61  \n600①  \n600  \nAnswer  \n6  \nPhysicsAndMathsTutor.com  \n\n|  |  |  |  | Do not write   |\n| --- | --- | --- | --- | --- |\n| 11   | A,B,C and D are junctions on a motorway.   |  |  | outside the  \u003Cbr>box   |\n|  |  | Not drawn  \u003Cbr>accurately   |  |  |\n| 25   |  |  |  |  |\n|  |  |  |  |  |\n| distance CD=3×distance AB   |  |  |  |  |\n| distance BC=25 miles   |  |  |  |  |\n| Salma drives from A to C.   |  |  |  |  |\n| She drives for 30 minutes at an average speed of 62 miles per hour.   |  |  |  |  |\n","cbCaigdAgFBuZnx4","https://ap.wps.com/l/cbCaigdAgFBuZnx4","pdf",6121781,32,"English","# Instructions\n## Equipment and exam conduct\n# Questions\n## Simplification and circle the correct option\n## Inequalities from algebra and number lines\n## Geometry: symmetry and polygons\n## Arithmetic: standard form and prime factor index form\n## Trigonometry and recurring decimals","[{\"question\":\"Is a calculator allowed on this paper?\",\"answer\":\"No. The instructions state that a calculator must not be used.\"},{\"question\":\"What is required for working and presentation?\",\"answer\":\"Work must be shown clearly in calculations, diagrams should be drawn in pencil, and answers must be written in the provided spaces without writing outside the boxes.\"},{\"question\":\"What topics are covered in GCSE Mathematics Higher Tier Paper 1?\",\"answer\":\"The paper covers algebraic simplification, inequalities, prime factorisation in index form, standard form arithmetic, symmetry and coordinates, geometry involving polygons, trigonometry, and converting to recurring decimals.\"}]","GCSE Mathematics H - Higher Tier - Paper 1 Non-Calculator | PDF",81]