# Mathematics Grade 10 P1 Gauteng June 2017 QP (Eng)

> Grade 10 Mathematics Paper 1 question paper from the Gauteng June 2017 (English), 5 pages. Read online or get the free PDF download, memo linked when available.

- Page: https://www.hlayiso.com/library/gr10-math-p1-english-june-2017-question-paper/d678ab6e-5425-4f4e-8e0c-3265bedb032f
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 10
- Language: English
- Document type: Question paper
- Year: 2017
- Exam period: Gauteng June
- Paper: 1
- Curriculum: CAPS
- Pages: 5

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## About this document

Mathematics · Grade 10 · Gauteng June · 2017 · English. Question paper, 5 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 2017 Possible Answers](https://www.hlayiso.com/library/gr10-math-p1-english-june-2017-possible-answers/f0410453-7885-46f5-8a4d-6521771a981d) — Memo · 2017 · 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 2017
                                 GRADE 10

                              MATHEMATICS

                                 (PAPER 1)

NAME OF LEARNER: ___________________________________________

GRADE: _________

TIME: 1 hour
MARKS: 50

5 pages

                                                               P.T.O.

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                                                               MATHEMATICS (PAPER 1)               2
                                                                             GRADE 10

                           GAUTENG DEPARTMENT OF EDUCATION
                                   PROVINCIAL EXAMINATION

                                                                MATHEMATICS (PAPER 1)

                                                                Time: 1 hour
                                                                Marks: 50

     INSTRUCTIONS

1.   Answer ALL the questions.

2.   Clearly show ALL calculations, diagrams, graphs etc. that you have used in determining your
     answers.

3.   Answers only will not necessarily be awarded full marks.

4.   An approved scientific calculator (non-programmable and non-graphical) may be used, unless stated
     otherwise.

5.   If necessary, answers should be rounded-off to TWO decimal places, unless stated otherwise.

6.   Diagrams are NOT necessarily drawn to scale.

7.   Number the answers correctly according to the numbering system used in this question paper.

8.   It is in your interest to write legibly and to present your work neatly.

                                                                                               P.T.O.

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                                                                MATHEMATICS (PAPER 1)     3
                                                                              GRADE 10

QUESTION 1

Indicate whether each of the following numbers is rational or irrational.

1.1    8                                                                                   (1)

        2
1.2       
        3                                                                                  (1)

       6 3
1.3       8
       7                                                                                   (1)

                                                                                           [3]

QUESTION 2

Simplify:

                0
       5
2.1     
        12                                                                               (1)

        1
2.2
        x 1                                                                              (1)

       9 x 1.5 x  2
2.3
         45 x 1                                                                           (3)
                                                                                           [5]

QUESTION 3

Factorise the following completely:

3.1    2 x 2  14 x  60                                                                   (3)

       1 3
3.2      x  b9
       8                                                                                   (2)
                                                                                           [5]

                                                                                         P.T.O.

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                                                               MATHEMATICS (PAPER 1)     4
                                                                             GRADE 10

QUESTION 4

Solve for x :

4.1    2  3x  6  4 x                                                                   (2)

          x    x     3x  2
4.2               2
        2  x 3 x x  x  6                                                              (5)

4.3    3 x . 9 2 x  1  81                                                               (3)

4.4     4  3x  1  5                                                                   (3)
                                                                                          [13]

QUESTION 5

Consider the following pattern.

                  Pattern 1

                          Pattern 2

                              Pattern 3

5.1    Write down the formula for the general term of white circles in the pattern.       (2)

5.2    Write down the formula for the general term of black circles in the pattern.       (1)

5.3    Use these formulas and calculate

       5.3.1 the number of black circles in pattern 12.                                   (1)

       5.3.2 the pattern number if there are 150 white circles in the pattern.            (2)
                                                                                          [6]

                                                                                        P.T.O.

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                                                                     MATHEMATICS (PAPER 1)             5
                                                                                   GRADE 10

QUESTION 6

                                       2
The graphs of f ( x)  ax 2 and h( x)  x  2 are sketched below.
                                       3

                                                                 y

                                                     f
                                                                        D(3; 4)
                                                             B
                                                         C

                                                         W       O                x
                                                 h

6.1    Determine the equation of the parabola f.                                                       (2)

                                                                                 4
6.2    Calculate the coordinates of C if the equation of the parabola is f ( x)  x 2 .
                                                                                 9                     (5)

6.3    Calculate the length of WO.                                                                     (2)

6.4    D and T are symmetrical about the line y  x . Write down the coordinates of T.                 (1)
                                                                                                       [10]

QUESTION 7

                                                            6
Determine the point of intersection of y  3. 2 x 1 and y   1 graphically. Clearly show ALL
                                                            x
asymptotes as well as x-intercepts and y-intercepts where applicable.                                  (8)
                                                                                                       [8]

                                                                                          TOTAL : 50

                                                     END

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