# Mathematics Grade 11 Paper 1 Gauteng June 2018 Memo

> Grade 11 Mathematics Paper 1 memorandum from the Gauteng June 2018, 8 pages. Read online or get the free PDF download, question paper linked when available.

- Page: https://www.hlayiso.com/library/gr11-math-p1-june-2018-possible-answers/2573dde7-fcb7-4de0-a77f-12860812b957
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 11
- Document type: Memorandum
- Year: 2018
- Exam period: Gauteng June
- Paper: 1
- Curriculum: CAPS
- Pages: 8

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## About this document

Mathematics · Grade 11 · Gauteng June · 2018. Memorandum, 8 pages. Read online or download the PDF.

Read it free online on the page above; download the PDF from there.

## Document text

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### Page 1

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          GAUTENG DEPARTMENT OF EDUCATION
              PROVINCIAL EXAMINATION
                    JUNIE 2018
                     GRADE 11

                   MATHEMATICS
                     PAPER 1

                   MEMORANDUM

8 pages

### Page 2

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                                                         MATHEMATICS
                                           MEMORANDUM
                                                         (Paper 1)                      GRADE 11

                              GAUTENG DEPARTMENT OF EDUCATION
                                      PROVINCIAL EXAMINATION

                                                              MATHEMATICS
                                                              (Paper 1)

                                                              MEMORANDUM

INFORMATION

A – Accuracy

C.A. – Continued Accuracy

NOTE:

     If a candidate answered a question TWICE, mark only the first attempt.
     If a candidate CROSSED out an answer and did not redo it, mark the crossed-out answer. Stop
      marking at the second calculation error.
     Consistent accurancy applies to ALL aspects of the marking memorandum.
     Assuming values / answers in order to solve a problem is UNACCEPTABLE.

QUESTION 1

1.1   1.1.1                                                    answer                         (1)

      1.1.2                                                    answer                         (1)
                                                              
1.2       (     )                                             
                                                               1                              (2)

1.3   1.3.1 (       )(        )
                         of                                   
                                                                                              (2)

      1.3.2              √

                    ( ) √( )        ( )(    )                  Substitution
                              ( )

                         √
                                                              
                                                              
                                                               Correct rounding off           (4)

                                                  2

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                                                                               MATHEMATICS
                                                                  MEMORANDUM
                                                                               (Paper 1)                      GRADE 9

      1.3.3
                      (             )(                  )                         factors
                                    (               )
                                                                                  answer                         (2)

      1.3.4                     √
                                √
                                                                                  squaring
                  ( √                   )           (         )
                           (                )
                                                                                    standard form
                  (                 )(              )                               factors
                                                                                    critical values
                                                                                    choosing                     (5)

      1.3.5
                      (                         )                                 factors
                      ( )
                          ( )
                                                                                  simplification

                                                                                  answer
                                                                                                                  (3)

1.2

                                                                                      as subject
              (                 )               (             )
                                                                                    sub. x into equation 2

      (           )(                )                                            standard form
                                                                                 factors
                                                                                 both y-values

              ( )                                       ( )
                                                                                 both x-values
                                                                                                                  (6)
                                                                                                                  [26]

                                                                       3

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                                                          MATHEMATICS
                                             MEMORANDUM
                                                          (Paper 1)                                GRADE 9

QUESTION 2

2.1    √       √
                                                             simplification ( √       )
           √               √
           √       √                                         simplification ( √ )
        √                                                    answer                                   (3)

2.2   2.2.1    To show:
                                                             factors (            )
               LHS:
                               (         )                   factors
                               ( )                             (      (          ))

                                     RHS
                                                                                                       (2)

      2.2.2

                                                               substitution (                 )
                       (             )                         factors (
                           (             )
                                                               factors
                                                                          (                )

                                                               answer                                 (4)

2.3   2.3.1
                                                                application

                                                                correct numerator
                                                                correct denominator                   (3)

      2.3.2     sum of reciprocals
                   sum of reciprocals                          formula
                   sum of reciprocals                          substitution (10)
                                                               substitution (20)

                                                               simplified answer                      (4)
                                                                                                       [16]

                                                  4

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                                                                   MATHEMATICS
                                                      MEMORANDUM
                                                                   (Paper 1)                  GRADE 9

QUESTION 3

3.1   3.1.1   -27 ; -39                                                  -27
                                                                         -39                       (2)

      3.1.2   1 -3 -9 -17                                               method mark for finding
                                                                         the first and the second
               -4       -6       -8                                      row differences

                 -2        -2
                        second difference

                                                                       

                    (    )
                                                                       

                             (        )
                                                                       
                                                                                                    (4)

      3.1.3
                                 (        )   (   )                     substitution
                                                                        answer                     (2)

      3.1.4                                   and
                                                                        

                                                                         standard form
                (                )(           )
                                               term                                                (3)

                                                           5

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                                                             MATHEMATICS
                                              MEMORANDUM
                                                             (Paper 1)                        GRADE 9

3.2   The pattern that is forming is:

      1; 4; 6; 9; 16; 25;......
                                                                    
                 where     refers to the th odd number
                                                                    
      Which odd number is

      Formula for the odd numbers are
                                                                         simplification
      (This is a linear pattern with          and
                                                                    

                                                                    
                                                                                                  (6)

3.3   5n – 2  100                                                       correct equating
          5n  102                                              
           n  20,4                                                      n 
         n = 20                                                          
         20 questions                                                    n                  (3)
                                                                                                  [20]

QUESTION 4

4.1   A(0 ; 1)                                                               x=0
                                                                             y=1                 (2)

4.2   4.2.1       ( )             OR    ( )    ( )                         ( )
                                                                            OR
                                                                           ( )       ( )        (2)
                                              𝑦
      4.2.2

                                                                          shape
                                                                          y- intercept
                                                                          x-axis asymptote

                                                         𝑥

                                                                                                  (3)

                                                     6

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                                                                        MATHEMATICS
                                                           MEMORANDUM
                                                                        (Paper 1)                        GRADE 9

4.3   4.3.1          ( )                                                      reflection in -axis
                     ( )        (   )                                         1 unit right
                     ( ) (        )                                           2 units up
                     ( ) ( )
                   first reflected in -axis then moved 1 unit right
                 and 2 units upwards                                                                         (3)
                                                                                                             [10]

QUESTION 5

5.1      ( )              (                )                                  calculating +1
        ( )               (                            )                      -1
        ( )               [(           )           ]                          factorizing (       )
        ( )               (           )                                       simplification of
      OR                                                                          [(      )      ]

                                                                                           (   )
                          (       )

                                                                             
                 (            )
      Subst in                (        )                                               (       )
                                                   (       )
                                                                              substitution                  (4)

5.2   Q(1 ; 18)                                                                   x=1
                                                                                  y = 18                    (2)

5.3
                                                                              standard form
         (           )(           )                                           factorisation
                                                                             
         (            ) and (                  )                              (       ) and (       )       (4)

                                                                7

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                                                                 MATHEMATICS
                                                    MEMORANDUM
                                                                 (Paper 1)                             GRADE 9

5.4   Vert: x                and Hor: y                                      
                   and                                                       
                                                                             
                                                                                                          (4)

5.5             OR                                                           
          (      )                                                             OR
                                                                                (        )               (2)

5.6       (              )                                                           (               )   (2)

5.7       (          )                                                            (           )
                OR                                                           
          (              )     (        )                                          OR
                                                                                  (               )
                                                                              (     )                     (2)
                                                                                                           [20]

QUESTION 6

6.1      ( )             (          )                                         p=1
         ( )             (                  )                                 q=8
         ( )                                                                 
                                                                             
                   and
                                                                                                          (5)

6.2    ( )           (          )                                             a = -2
              OR                                                              p=1
       ( )           (          )       (       )                             q = 11
                                                                                    OR
         ( )                                                                  a=-2
                                                                              b=-4
                                                                              c= 9                        (3)
                                                                                                           [8]

                                                                                           TOTAL: 100

                                                         8

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