GCSE
MATHEMATICS
8300/1F
Foundation Tier Paper 1 Non-Calculator
R R R R
Mark scheme
R
June 2019
R
Version: R1.0 RFinal
*196G83001F/MS*
, MARK RSCHEME R– RGCSE RMATHEMATICS R– R8300/1F R– RJUNE R2019
Mark Rschemes Rare Rprepared Rby Rthe RLead RAssessment RWriter Rand Rconsidered, Rtogether Rwith Rthe
Rrelevant Rquestions, Rby Ra Rpanel Rof Rsubject Rteachers. R This Rmark Rscheme Rincludes Rany Ramendments
Rmade Rat Rthe Rstandardisation Revents Rwhich Rall Rassociates Rparticipate Rin Rand Ris Rthe Rscheme Rwhich
Rwas Rused Rby Rthem Rin Rthis Rexamination. R The Rstandardisation Rprocess Rensures Rthat Rthe Rmark Rscheme
Rcovers Rthe Rstudents’ Rresponses Rto Rquestions Rand Rthat Revery Rassociate Runderstands Rand Rapplies Rit Rin
Rthe Rsame Rcorrect Rway.
As Rpreparation Rfor Rstandardisation Reach Rassociate Ranalyses Ra Rnumber Rof Rstudents’ Rscripts. R Alternative
Ranswers Rnot Ralready Rcovered Rby Rthe Rmark Rscheme Rare Rdiscussed Rand Rlegislated Rfor. R If, Rafter Rthe
Rstandardisation Rprocess, Rassociates Rencounter Runusual Ranswers Rwhich Rhave Rnot Rbeen Rraised Rthey Rare
Rrequired Rto Rrefer Rthese Rto Rthe RLead RAssessment RWriter.
It Rmust Rbe Rstressed Rthat Ra Rmark Rscheme Ris Ra Rworking Rdocument, Rin Rmany Rcases Rfurther Rdeveloped
Rand Rexpanded Ron Rthe Rbasis Rof Rstudents’ Rreactions Rto Ra Rparticular Rpaper. R Assumptions Rabout Rfuture
Rmark Rschemes Ron Rthe Rbasis Rof Rone Ryear’s Rdocument Rshould Rbe Ravoided; Rwhilst Rthe Rguiding Rprinciples
Rof Rassessment Rremain Rconstant, Rdetails Rwill Rchange, Rdepending Ron Rthe Rcontent Rof Ra Rparticular
Rexamination Rpaper.
Further Rcopies Rof Rthis Rmark Rscheme Rare Ravailable Rfrom Raqa.org.uk
Copyright R© R2019 RAQA Rand Rits Rlicensors. R All Rrights Rreserved.
AQA Rretains Rthe Rcopyright Ron Rall Rits Rpublications. R However, Rregistered Rschools/colleges Rfor RAQA Rare Rpermitted Rto Rcopy Rmaterial
Rfrom Rthis Rbooklet Rfor Rtheir Rown Rinternal Ruse, Rwith Rthe Rfollowing Rimportant Rexception: RAQA Rcannot Rgive Rpermission Rto
Rschools/colleges Rto Rphotocopy Rany Rmaterial Rthat Ris Racknowledged Rto Ra Rthird Rparty Reven Rfor Rinternal Ruse Rwithin Rthe Rcentre.
2
, MARK RSCHEME R– RGCSE RMATHEMATICS R– R8300/1F R– RJUNE R2019
Glossary Rfor RMark RSchemes
GCSE Rexaminations Rare Rmarked Rin Rsuch Ra Rway Ras Rto Raward Rpositive Rachievement Rwherever Rpossible.
RThus, Rfor RGCSE RMathematics Rpapers, Rmarks Rare Rawarded Runder Rvarious Rcategories.
If Ra Rstudent Ruses Ra Rmethod Rwhich Ris Rnot Rexplicitly Rcovered Rby Rthe Rmark Rscheme Rthe Rsame Rprinciples
Rof Rmarking Rshould Rbe Rapplied. RCredit Rshould Rbe Rgiven Rto Rany Rvalid Rmethods. RExaminers Rshould Rseek
Radvice Rfrom Rtheir Rsenior Rexaminer Rif Rin Rany Rdoubt.
M Method Rmarks Rare Rawarded Rfor Ra Rcorrect Rmethod Rwhich Rcould
Rlead Rto Ra Rcorrect Ranswer.
A Accuracy Rmarks Rare Rawarded Rwhen Rfollowing Ron Rfrom Ra Rcorrect
Rmethod. RIt Ris Rnot Rnecessary Rto Ralways Rsee Rthe Rmethod. RThis
Rcan Rbe Rimplied.
B Marks Rawarded Rindependent Rof Rmethod.
ft Follow Rthrough Rmarks. RMarks Rawarded Rfor Rcorrect Rworking
Rfollowing Ra Rmistake Rin Ran Rearlier Rstep.
SC Special Rcase. RMarks Rawarded Rfor Ra Rcommon Rmisinterpretation
Rwhich Rhas Rsome Rmathematical Rworth.
M Rdep A Rmethod Rmark Rdependent Ron Ra Rprevious Rmethod Rmark Rbeing
Rawarded.
B Rdep A Rmark Rthat Rcan Ronly Rbe Rawarded Rif Ra Rprevious Rindependent
Rmark Rhas Rbeen Rawarded.
oe Or Requivalent. RAccept Ranswers Rthat Rare Requivalent.
1
Reg Raccept R0.5 Ras Rwell Ras R
2
[a, Rb] Accept Rvalues Rbetween Ra Rand Rb Rinclusive.
[a, Rb) Accept Rvalues Ra R≤ Rvalue R< Rb
3.14R… Accept Ranswers Rwhich Rbegin R3.14 Reg R3.14, R3.142, R3.1416
Use Rof Rbrackets It Ris Rnot Rnecessary Rto Rsee Rthe Rbracketed Rwork Rto Raward Rthe
Rmarks.
3
, MARK RSCHEME R– RGCSE RMATHEMATICS R– R8300/1F R– RJUNE R2019
Examiners Rshould Rconsistently Rapply Rthe Rfollowing Rprinciples
Diagrams
Diagrams Rthat Rhave Rworking Ron Rthem Rshould Rbe Rtreated Rlike Rnormal Rresponses. R If Ra Rdiagram Rhas
Rbeen Rwritten Ron Rbut Rthe Rcorrect Rresponse Ris Rwithin Rthe Ranswer Rspace, Rthe Rwork Rwithin Rthe Ranswer
Rspace Rshould Rbe Rmarked. R Working Ron Rdiagrams Rthat Rcontradicts Rwork Rwithin Rthe Ranswer Rspace Ris Rnot
Rto Rbe Rconsidered Ras
choice Rbut Ras Rworking, Rand Ris Rnot, Rtherefore, Rpenalised.
Responses Rwhich Rappear Rto Rcome Rfrom Rincorrect Rmethods
Whenever Rthere Ris Rdoubt Ras Rto Rwhether Ra Rstudent Rhas Rused Ran Rincorrect Rmethod Rto Robtain Ran Ranswer,
Ras Ra
general Rprinciple, Rthe Rbenefit Rof Rdoubt Rmust Rbe Rgiven Rto Rthe Rstudent. R In Rcases Rwhere Rthere Ris Rno
Rdoubt Rthat Rthe Ranswer Rhas Rcome Rfrom Rincorrect Rworking Rthen Rthe Rstudent Rshould Rbe Rpenalised.
Questions Rwhich Rask Rstudents Rto Rshow Rworking
Instructions Ron Rmarking Rwill Rbe Rgiven Rbut Rusually Rmarks Rare Rnot Rawarded Rto Rstudents Rwho Rshow Rno
Rworking.
Questions Rwhich Rdo Rnot Rask Rstudents Rto Rshow Rworking
As Ra Rgeneral Rprinciple, Ra Rcorrect Rresponse Ris Rawarded Rfull
Rmarks.
Misread Ror Rmiscopy
Students Roften Rcopy Rvalues Rfrom Ra Rquestion Rincorrectly. R If Rthe Rexaminer Rthinks Rthat Rthe Rstudent Rhas
Rmade Ra Rgenuine Rmisread, Rthen Ronly Rthe Raccuracy Rmarks R(A Ror RB Rmarks), Rup Rto Ra Rmaximum Rof R2
Rmarks Rare Rpenalised.
The Rmethod Rmarks Rcan Rstill Rbe Rawarded.
Further Rwork
Once Rthe Rcorrect Ranswer Rhas Rbeen Rseen, Rfurther Rworking Rmay Rbe Rignored Runless Rit Rgoes Ron Rto
Rcontradict Rthe Rcorrect Ranswer.
Choice
When Ra Rchoice Rof Ranswers Rand/or Rmethods Ris Rgiven, Rmark Reach Rattempt. R If Rboth Rmethods Rare
Rvalid Rthen RM Rmarks Rcan Rbe Rawarded Rbut Rany Rincorrect Ranswer Ror Rmethod Rwould Rresult Rin Rmarks
Rbeing Rlost.
Work Rnot Rreplaced
Erased Ror Rcrossed Rout Rwork Rthat Ris Rstill Rlegible Rshould Rbe
Rmarked.
Work Rreplaced
Erased Ror Rcrossed Rout Rwork Rthat Rhas Rbeen Rreplaced Ris Rnot Rawarded
Rmarks.
Premature Rapproximation
Rounding Roff Rtoo Rearly Rcan Rlead Rto Rinaccuracy Rin Rthe Rfinal Ranswer. R This Rshould Rbe Rpenalised Rby
R1 Rmark Runless Rinstructed Rotherwise.
4
MATHEMATICS
8300/1F
Foundation Tier Paper 1 Non-Calculator
R R R R
Mark scheme
R
June 2019
R
Version: R1.0 RFinal
*196G83001F/MS*
, MARK RSCHEME R– RGCSE RMATHEMATICS R– R8300/1F R– RJUNE R2019
Mark Rschemes Rare Rprepared Rby Rthe RLead RAssessment RWriter Rand Rconsidered, Rtogether Rwith Rthe
Rrelevant Rquestions, Rby Ra Rpanel Rof Rsubject Rteachers. R This Rmark Rscheme Rincludes Rany Ramendments
Rmade Rat Rthe Rstandardisation Revents Rwhich Rall Rassociates Rparticipate Rin Rand Ris Rthe Rscheme Rwhich
Rwas Rused Rby Rthem Rin Rthis Rexamination. R The Rstandardisation Rprocess Rensures Rthat Rthe Rmark Rscheme
Rcovers Rthe Rstudents’ Rresponses Rto Rquestions Rand Rthat Revery Rassociate Runderstands Rand Rapplies Rit Rin
Rthe Rsame Rcorrect Rway.
As Rpreparation Rfor Rstandardisation Reach Rassociate Ranalyses Ra Rnumber Rof Rstudents’ Rscripts. R Alternative
Ranswers Rnot Ralready Rcovered Rby Rthe Rmark Rscheme Rare Rdiscussed Rand Rlegislated Rfor. R If, Rafter Rthe
Rstandardisation Rprocess, Rassociates Rencounter Runusual Ranswers Rwhich Rhave Rnot Rbeen Rraised Rthey Rare
Rrequired Rto Rrefer Rthese Rto Rthe RLead RAssessment RWriter.
It Rmust Rbe Rstressed Rthat Ra Rmark Rscheme Ris Ra Rworking Rdocument, Rin Rmany Rcases Rfurther Rdeveloped
Rand Rexpanded Ron Rthe Rbasis Rof Rstudents’ Rreactions Rto Ra Rparticular Rpaper. R Assumptions Rabout Rfuture
Rmark Rschemes Ron Rthe Rbasis Rof Rone Ryear’s Rdocument Rshould Rbe Ravoided; Rwhilst Rthe Rguiding Rprinciples
Rof Rassessment Rremain Rconstant, Rdetails Rwill Rchange, Rdepending Ron Rthe Rcontent Rof Ra Rparticular
Rexamination Rpaper.
Further Rcopies Rof Rthis Rmark Rscheme Rare Ravailable Rfrom Raqa.org.uk
Copyright R© R2019 RAQA Rand Rits Rlicensors. R All Rrights Rreserved.
AQA Rretains Rthe Rcopyright Ron Rall Rits Rpublications. R However, Rregistered Rschools/colleges Rfor RAQA Rare Rpermitted Rto Rcopy Rmaterial
Rfrom Rthis Rbooklet Rfor Rtheir Rown Rinternal Ruse, Rwith Rthe Rfollowing Rimportant Rexception: RAQA Rcannot Rgive Rpermission Rto
Rschools/colleges Rto Rphotocopy Rany Rmaterial Rthat Ris Racknowledged Rto Ra Rthird Rparty Reven Rfor Rinternal Ruse Rwithin Rthe Rcentre.
2
, MARK RSCHEME R– RGCSE RMATHEMATICS R– R8300/1F R– RJUNE R2019
Glossary Rfor RMark RSchemes
GCSE Rexaminations Rare Rmarked Rin Rsuch Ra Rway Ras Rto Raward Rpositive Rachievement Rwherever Rpossible.
RThus, Rfor RGCSE RMathematics Rpapers, Rmarks Rare Rawarded Runder Rvarious Rcategories.
If Ra Rstudent Ruses Ra Rmethod Rwhich Ris Rnot Rexplicitly Rcovered Rby Rthe Rmark Rscheme Rthe Rsame Rprinciples
Rof Rmarking Rshould Rbe Rapplied. RCredit Rshould Rbe Rgiven Rto Rany Rvalid Rmethods. RExaminers Rshould Rseek
Radvice Rfrom Rtheir Rsenior Rexaminer Rif Rin Rany Rdoubt.
M Method Rmarks Rare Rawarded Rfor Ra Rcorrect Rmethod Rwhich Rcould
Rlead Rto Ra Rcorrect Ranswer.
A Accuracy Rmarks Rare Rawarded Rwhen Rfollowing Ron Rfrom Ra Rcorrect
Rmethod. RIt Ris Rnot Rnecessary Rto Ralways Rsee Rthe Rmethod. RThis
Rcan Rbe Rimplied.
B Marks Rawarded Rindependent Rof Rmethod.
ft Follow Rthrough Rmarks. RMarks Rawarded Rfor Rcorrect Rworking
Rfollowing Ra Rmistake Rin Ran Rearlier Rstep.
SC Special Rcase. RMarks Rawarded Rfor Ra Rcommon Rmisinterpretation
Rwhich Rhas Rsome Rmathematical Rworth.
M Rdep A Rmethod Rmark Rdependent Ron Ra Rprevious Rmethod Rmark Rbeing
Rawarded.
B Rdep A Rmark Rthat Rcan Ronly Rbe Rawarded Rif Ra Rprevious Rindependent
Rmark Rhas Rbeen Rawarded.
oe Or Requivalent. RAccept Ranswers Rthat Rare Requivalent.
1
Reg Raccept R0.5 Ras Rwell Ras R
2
[a, Rb] Accept Rvalues Rbetween Ra Rand Rb Rinclusive.
[a, Rb) Accept Rvalues Ra R≤ Rvalue R< Rb
3.14R… Accept Ranswers Rwhich Rbegin R3.14 Reg R3.14, R3.142, R3.1416
Use Rof Rbrackets It Ris Rnot Rnecessary Rto Rsee Rthe Rbracketed Rwork Rto Raward Rthe
Rmarks.
3
, MARK RSCHEME R– RGCSE RMATHEMATICS R– R8300/1F R– RJUNE R2019
Examiners Rshould Rconsistently Rapply Rthe Rfollowing Rprinciples
Diagrams
Diagrams Rthat Rhave Rworking Ron Rthem Rshould Rbe Rtreated Rlike Rnormal Rresponses. R If Ra Rdiagram Rhas
Rbeen Rwritten Ron Rbut Rthe Rcorrect Rresponse Ris Rwithin Rthe Ranswer Rspace, Rthe Rwork Rwithin Rthe Ranswer
Rspace Rshould Rbe Rmarked. R Working Ron Rdiagrams Rthat Rcontradicts Rwork Rwithin Rthe Ranswer Rspace Ris Rnot
Rto Rbe Rconsidered Ras
choice Rbut Ras Rworking, Rand Ris Rnot, Rtherefore, Rpenalised.
Responses Rwhich Rappear Rto Rcome Rfrom Rincorrect Rmethods
Whenever Rthere Ris Rdoubt Ras Rto Rwhether Ra Rstudent Rhas Rused Ran Rincorrect Rmethod Rto Robtain Ran Ranswer,
Ras Ra
general Rprinciple, Rthe Rbenefit Rof Rdoubt Rmust Rbe Rgiven Rto Rthe Rstudent. R In Rcases Rwhere Rthere Ris Rno
Rdoubt Rthat Rthe Ranswer Rhas Rcome Rfrom Rincorrect Rworking Rthen Rthe Rstudent Rshould Rbe Rpenalised.
Questions Rwhich Rask Rstudents Rto Rshow Rworking
Instructions Ron Rmarking Rwill Rbe Rgiven Rbut Rusually Rmarks Rare Rnot Rawarded Rto Rstudents Rwho Rshow Rno
Rworking.
Questions Rwhich Rdo Rnot Rask Rstudents Rto Rshow Rworking
As Ra Rgeneral Rprinciple, Ra Rcorrect Rresponse Ris Rawarded Rfull
Rmarks.
Misread Ror Rmiscopy
Students Roften Rcopy Rvalues Rfrom Ra Rquestion Rincorrectly. R If Rthe Rexaminer Rthinks Rthat Rthe Rstudent Rhas
Rmade Ra Rgenuine Rmisread, Rthen Ronly Rthe Raccuracy Rmarks R(A Ror RB Rmarks), Rup Rto Ra Rmaximum Rof R2
Rmarks Rare Rpenalised.
The Rmethod Rmarks Rcan Rstill Rbe Rawarded.
Further Rwork
Once Rthe Rcorrect Ranswer Rhas Rbeen Rseen, Rfurther Rworking Rmay Rbe Rignored Runless Rit Rgoes Ron Rto
Rcontradict Rthe Rcorrect Ranswer.
Choice
When Ra Rchoice Rof Ranswers Rand/or Rmethods Ris Rgiven, Rmark Reach Rattempt. R If Rboth Rmethods Rare
Rvalid Rthen RM Rmarks Rcan Rbe Rawarded Rbut Rany Rincorrect Ranswer Ror Rmethod Rwould Rresult Rin Rmarks
Rbeing Rlost.
Work Rnot Rreplaced
Erased Ror Rcrossed Rout Rwork Rthat Ris Rstill Rlegible Rshould Rbe
Rmarked.
Work Rreplaced
Erased Ror Rcrossed Rout Rwork Rthat Rhas Rbeen Rreplaced Ris Rnot Rawarded
Rmarks.
Premature Rapproximation
Rounding Roff Rtoo Rearly Rcan Rlead Rto Rinaccuracy Rin Rthe Rfinal Ranswer. R This Rshould Rbe Rpenalised Rby
R1 Rmark Runless Rinstructed Rotherwise.
4
