# Mathematics Grade 10 P1 Gauteng June 2016 Memo (English)

> Grade 10 Mathematics Paper 1 memorandum from the Gauteng June 2016 (English), 7 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/gr10-math-p1-english-june-2016-possible-answers/d07a8d88-847a-49cc-bc4b-dba292f1df74
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 10
- Language: English
- Document type: Memorandum
- Year: 2016
- Exam period: Gauteng June
- Paper: 1
- Curriculum: CAPS
- Pages: 7

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## About this document

Mathematics · Grade 10 · Gauteng June · 2016 · English. Memorandum, 7 pages. Read online or download the PDF.

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

## Matching paper and memo

- [Gr10 Math P1 (English) June 2016 Question Papers](https://www.hlayiso.com/library/gr10-math-p1-english-june-2016-question-papers/12b65bdc-382b-4ad9-937b-9e61a48214d1) — QP · 2016 · Eng

## Document text

Text extracted from the PDF. Layout, diagrams and tables may not survive extraction.

### Page 1

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          GAUTENG DEPARTMENT OF EDUCATION
               PROVINCIAL EXAMINATION
                    JUNE 2016
                     GRADE 10

                   MATHEMATICS
                     (PAPER 1)

                   MEMORANDUM

6 pages

### Page 2

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                                                       MATHEMATICS                Grade 10
                                    MEMORANDUM
                                                       (Paper 1)

                           GAUTENG DEPARTMENT OF EDUCATION
                               PROVINCIAL EXAMINATION

                                                        MATHEMATICS
                                                        (Paper 1)

                                                        MEMORANDUM

QUESTION 1

1.1             88 44 22                        Any acceptable             (1)
      0,88       =                            fraction
               100 50 25

1.2            undefined                        11                         (1)

1.3   Between       and                           ,                       (2)
                                                                                     [4]

QUESTION 2

2.1   2.1.1                                     multiplication             (2)

                =                               simplification

                =

      2.1.2                                                                 (3)

                                                 ( x  3)( x 2  3 x  9)
                =
                                                 ( x  3)( x  3)
                                                
                =1
                                                1

      2.1.3                                                                 (3)

                                                        
                =
                                                         
                =

                =
                                                   

                                          2

### Page 3

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                                                          MATHEMATICS                   Grade 10
                                        MEMORANDUM
                                                          (Paper 1)

              OR                                 OR

                2 x 2 y 2 8 x 5 y 8
              =
                     4 x 4 . y 8                           

                2 x 2 . x 4 .8 y 8                   2x 2 .x 4 .8 y 8 
              =
                 4 y 8 . y 2 .x 5

              =
                                                        
              =

2.2   2.2.1                                                                      (2)
                                                                

      2.2.2                                                                       (3)

              =                                                 

              =                                                               

              =                                  Accept alternative
                                                 grouping
              =
                                                                          

                                                                                           [13]

QUESTION 3

3.1   3.1.1                                                                      (2)
                                                                 
                                 or

                        or

      3.1.2                                                                      (4)

                  (          )                        (         )  or

                                                           or 2 3
                                                             

                                            3

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                                             MATHEMATICS                  Grade 10
                              MEMORANDUM
                                             (Paper 1)

3.2   2(2 x  3)  18  2 x                Simplification           (4)
      4 x  6  18  2 x                   4x  6 
      4 x  2 x  6  18                   x  12
      2 x  24
      x  12

                                           Representing on the
                                           number line and 12
                                           includedand arrow

                                           NOTE: If 12 is
                                           included with a line -
                                           1mark

  

                                  4

### Page 5

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                                                           MATHEMATICS               Grade 10
                                            MEMORANDUM
                                                           (Paper 1)

3.3

                      ……….2

                                                                       

      Sub 3 in 2                                         substitution

                                                                   

                                                               

                                                                   

      Sub          in equation 1

      Alternative method (elimination method)

      Multiply equation 1 by 2                           Multiply by 2 

                      ………..3

                      ………..2

      Subtract equation 2 from equation 3                Eliminating       

      
      Sub            in equation 2                                 

                                                         Substitution

                                                                              (5)
                                                                                        [15]

                                                5

### Page 6

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                                        MATHEMATICS           Grade 10
                          MEMORANDUM
                                        (Paper 1)

QUESTION 4

4.1   4.1.1                            1417           (2)

      4.1.2   Top                                       (2)

              Bottom =                         

4.2   4.2.1                                            (1)

      4.2.2                                            (2)

                                            

                                                                 [7]

                              6

### Page 7

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                                               MATHEMATICS            Grade 10
                               MEMORANDUM
                                               (Paper 1)

QUESTION 5

5.1   5.1.1
                                -1   0    1
              f ( x)  x  2
                       2        -1   -2   -1
                                -1   0    1       f( ) and
              g( x)  3x        1    1    3
                                3                 y-intercept

                                                  shape both
                                                  graphs

                                                                      (4)

      5.1.2                                                          (1)

      5.1.3                                        y  2            (1)
                                                  OR
              OR [2; )
                                                  [2; ) 
                                                  (brackets MUST be
                                                  correct)
      5.1.4   2 units down                        2 down            (2)

5.2

                                                  substitution of     (3)
                                                  asymptote 

                                                  substitution
                                                  (5;-5) 
                                                                      [11]
                                                             

                                                              TOTAL: 50

                                     7

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