# Mathematics Grade 10 P2 Gauteng June 2017 QP (Eng)

> Grade 10 Mathematics Paper 2 question paper from the Gauteng June 2017 (English), 7 pages. Read online or get the free PDF download, memo linked when available.

- Page: https://www.hlayiso.com/library/gr10-math-p2-english-june-2017-question-paper/b5f34c52-34e2-4402-9d23-ed733526a7b3
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 10
- Language: English
- Document type: Question paper
- Year: 2017
- Exam period: Gauteng June
- Paper: 2
- Curriculum: CAPS
- Pages: 7

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## About this document

Mathematics · Grade 10 · Gauteng June · 2017 · English. Question paper, 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 P2 (English) June 2017 Possible Answers](https://www.hlayiso.com/library/gr10-math-p2-english-june-2017-possible-answers/26dc2a6d-2c76-4c1c-a2b8-614d6e862891) — Memo · 2017 · Eng

## Document text

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

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               GAUTENG DEPARTMENT OF EDUCATION
                        PROVINCIAL EXAMINATION
                                   JUNE 2017
                                   GRADE 10

                                MATHEMATICS
                                  PAPER 2

TIME: 1 hour

MARKS: 50

5 pages + 1 diagram sheet + 1 answer sheet

                                                 P.T.O.

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                                                         MATHEMATICS                                2
                                                         Paper 2                   Grade 10

                            GAUTENG DEPARTMENT OF EDUCATION
                                    PROVINCIAL EXAMINATION

                                                                 MATHEMATICS
                                                                 (Paper 2)

                                                                 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.    An ANSWER SHEET is attached to the end of this question paper. Fill in your name and class in

      the space provided. Hand this ANSWER SHEET in with your ANSWER BOOK.

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

10.   A diagram sheet is included on page 6 to assist you

                                                                                                P.T.O.

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                                                        MATHEMATICS                               3
                                                        Paper 2                       Grade 10

QUESTION 1

In the diagram below point, P(4; 3) is given and 0º ≤  ≤ 90º. Answer the following questions,
without the use of a calculator.

                                                y
                                                           P(4; 3)

                                                
                                            O                      x

1.1    Calculate the length of OP.                                                                (3)

1.2    Calculate the value of

       1.2.1 sin .                                                                               (1)

       1.2.2 cos .                                                                               (1)

       1.2.3 sin2  + cos2 .                                                                     (2)
                                                                                                  [7]

QUESTION 2

2.1    Use a calculator to find the values of the following, correct to THREE decimal places.

       2.1.1   3 sin 138,7                                                                       (1)

       2.1.2   sec 50                                                                            (1)

               4 tan 2 288,2 . cos164,6
       2.1.3                                                                                      (2)
                        sin 199,4

2.2    Determine, without the use of a calculator, the value of.

       2.2.1 cos 30° + tan 60°.                                                                   (3)

               sin 45
       2.2.2            5 cosec90  3 tan 2 30.
               cos 45                                                                            (5)
                                                                                                  [12]

                                                                                                 P.T.O.

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                                                        MATHEMATICS                               4
                                                        Paper 2                       Grade 10

QUESTION 3

Determine the value of  by using a calculator if 0º ≤  ≤ 90º.

3.1      tan   4,96                                                                             (1)

3.2      2 sin 2   10  1                                                                    (3)
                                                                                                  [4]

QUESTION 4

          f ( x)  2 tan x
Given:
          g ( x)  cos x  1

4.1      Draw both sketch graphs on the same set of axes on the ANSWER SHEET provided on the
         last page, for x 0; 360  .                                                          (6)

4.2      Use the graphs to answer the following questions.

         4.2.1 Write down the amplitude of g .                                                    (1)

         4.2.2 Determine the period of f .                                                        (1)

         4.2.3 Determine the range of g .                                                         (2)
                                                                                                  [10]

QUESTION 5

5.1      Name TWO properties of a rhombus.                                                        (2)

5.2      The diagram below shows is parallelogram ABCD. Aˆ  x  20 and Cˆ  2 x  60 .
         Determine the value of Ĉ .                                                              (2)

                                       A                            B
                                        x  20

                                                    2x  60
                                 D                             C

                                                                                                    [4]

                                                                                                 P.T.O.

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                                                         MATHEMATICS                         5
                                                         Paper 2                  Grade 10

QUESTION 6

6.1    Prove that the opposite sides in parallelogram ABCD are equal.

                                 A                            B

                    D                                                                        (5)
                                                   C

6.2    In the figure below, AECF is a parallelogram and AD//BC.

                                             A                                D
                                                                      1
                                                                          2
                                                              2
                                                          1       F
                                                   O

                                             E 2
                                              1
                                     1
                             B           2
                                                                  C

Prove that:

       6.2.1   Ê1  F̂2 .                                                                   (3)

       6.2.2 ABCD is a parallelogram.                                                        (5)
                                                                                             [13]

                                                                                    TOTAL: 50

                                                   END

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                                                     MATHEMATICS                                  6
                                                     Paper 2                           Grade 10

                                          DIAGRAM SHEET

QUESTION 5

5.2
                                  A                                    B
                                      x  20

                                                2x  60
                      D                                    C

QUESTION 6

6.1
                      A                                        B

             D
                                                C

6.2
                                  A                                                D
                                                                           1
                                                                               2
                                                               2
                                                           1       F
                                                O

                                  E 2
                                      1
                          1
                  B           2
                                                                   C

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                                          MATHEMATICS              7
                                          Paper 2       Grade 10

                                 ANSWER SHEET

HAND THIS ANSWER SHEET IN TOGETHER WITH YOUR ANSWER BOOK.

NAME: _____________________________________

GRADE: 10 _______

QUESTION 4

4.1
           y

          0                                                    x

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