# Mathematics Grade 10 P2 North West June 2017 Question Paper

> Grade 10 Mathematics Paper 2 question paper from the North West June 2017, 9 pages. Read online or get the free PDF download, memo linked when available.

- Page: https://www.hlayiso.com/library/grade-10-mathematics-2017-north-west-june-question-paper-paper-2/01c990a2-8753-4464-baae-80050b1514df
- Updated: 2026-10-29
- Subject: Mathematics
- Grade: Grade 10
- Document type: Question paper
- Year: 2017
- Exam period: North West June
- Paper: 2
- Curriculum: CAPS
- Pages: 9

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## About this document

Mathematics · Grade 10 · North West June · 2017. Question paper, 9 pages. Read online or download the PDF.

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## Document text

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### Page 1

NATIONAL
                             SENIOR CERTIFICATE

                                    GRADE 10

                             MATHEMATICS PAPER 2
                         MID-YEAR EXAMINATION 2017

MARKS: 75                      JUNE EXAMINATION 2012

TIME: 1, 5 hours

This question paper consists of 9 pages and a diagram sheet

### Page 2

Mathematics /P2                                                        NW / Mid-year 2017

                                             NSC- Grade 10

INSTRUCTIONS AND INFORMATION

Read the following instructions carefully before answering the questions.

1.    This question paper consists of 6 questions.
2.    Answer ALL the questions.
3.    Clearly show ALL calculations, diagrams, graphs, et cetera which you have used in
      determining the answers.

4.    You may use an approved scientific calculator (non-programmable and non-graphical),
      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.    Write neatly and legibly.

                                                     2

### Page 3

Mathematics /P2                                                         NW / Mid-year 2017

                                             NSC- Grade 10

QUESTION 1

1.1     Determine the value of               by using a calculator.                                (2)

1.2     If          ,         and             . Calculate the

        numerical value of                                                                         (2)

1.3     Determine the value of the following without using a calculator:
                                                                                                   (4)

                                                                                                   [08]

QUESTION 2

2.1     Calculate the value of     , where     [

        2.1.1                                                                                      (3)

2.2     Find the value of    without using a calculator:

                                                                                                   (6)

2.3     If                   and             determine with the aid of the diagram the value of:
                                                                                                   (5)

                                                                                                   [14]

                                                   3

### Page 4

Mathematics /P2                                                     NW / Mid-year 2017

                                          NSC- Grade 10

QUESTION 3

3.1     In                              and               Determine:

                                                            P

                                                             3,2cm

                           Q
                                  33,45
                                                             R

        3.1.1                                                                                  (3)

        3.1.2                                                                                  (2)

        3.1.3                                                                                  (3)

3.2     A wall      is 7,3 m high. B and C are two points in the same horizontal

        plane as D. The angles of elevation from B and C of A are       and

        respectively.

                                                4

### Page 5

Mathematics /P2                                                           NW / Mid-year 2017

                                             NSC- Grade 10

                                                       A

                                                           7,3m

                     B
                       22,3 
                              C
                                48, 2 
                                                        D

        Determine:

        3.2.1   the distance between B and C?                                                        (5)

        3.2.2   the angle of depression of B from A?                                                 (2)

                                                                                                     [15]

QUESTION 4

4.1     Sketch graphs of                 and                      on the same

         set of axes for             using the diagram sheet provided at the end of the

         question paper.                                                                             (6)

        4.1.1   Determine the range of   .                                                           (1)

                                                                                                     [07]

                                                  5

### Page 6

Mathematics /P2                                                              NW / Mid-year 2017

                                                  NSC- Grade 10

QUESTION 5

5.1               is a kite such that the diagonals intersect in      .
                  and

                                      B

                                          O                                      C
              A
                         20   
                                      2cm
                                       D

                5.1.1     Write down the length of            .                                         (2)

                5.1.2     What is the size of           ?                                               (2)

                5.1.3     What is the size of           ?                                               (2)

5.2             is a parallelogram with                 and               .Calculate the value
         of   in the following diagram :

                                  A                C                       E
                                  130 85     1        2

                     B
                         1                              1x        D                              (6)

                                                                                                 [12]

                                                        6

### Page 7

Mathematics /P2                                                              NW / Mid-year 2017

                                                   NSC- Grade 10

QUESTION 6

6.1     In the following figure,               .                       .

                               P

                                                       T

                                Q                  S                  R

        6.1.1     Prove that                                                                            (4)

        6.1.2     Prove that        |||                                                                 (3)

6.2     In the diagram below:
                      are the midpoints of                         respectively.    bisects
        and       bisects      .

              P                            T
                                          y1y234x                          S

                                              x
                                                   O
                  U                                                        W

                      Q                                                    R
                                               V

                                                        7

### Page 8

Mathematics /P2                                  NW / Mid-year 2017

                                      NSC- Grade 10

Prove that:
       6.2.1                                                               (4)
       6.2.2                                                               (4)
       6.2.3   TUVW is a rectangle.                                        (4)

                                                                           [18]

               TOTAL: 75

                                           8

### Page 9

Mathematics /P2                               NW / Mid-year 2017

                                  NSC- Grade 10

Learner Name:__________________________

School Name:__________________________

Class:______

Question 4.1

                                         9

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