# Mathematics Grade 10 P1 North West June 2017 Question Paper

> Grade 10 Mathematics Paper 1 question paper from the North West June 2017, 5 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-1/a0e16ea9-c144-448d-8e8f-5c3ed9e6961a
- Updated: 2026-10-29
- Subject: Mathematics
- Grade: Grade 10
- Document type: Question paper
- Year: 2017
- Exam period: North West June
- Paper: 1
- Curriculum: CAPS
- Pages: 5

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## About this document

Mathematics · Grade 10 · North West June · 2017. Question paper, 5 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

GRADE 10

                          MATHEMATICS PAPER 1

                    MID YEAR EXAMINATION 2017

MARKS: 75

TIME: 1 hour 30 minutes

            This question paper consists of 4 pages and a diagram sheet

### Page 2

Mathematics Grade 10/P1                             2                                      NW/June 2017
                                                   NSC

INSTRUCTIONS AND INFORMATION

1.      This question paper consists of 5 questions, answer ALL the questions.

2.      Clearly show ALL calculations, diagrams, graphs, et cetera that you have used in
        determining the answers.

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

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

5.     A diagram sheet for answering QUESTION 5.2 is attached at the end of this question
        paper.

6.      Number the answers correctly according to the numbering system used in this
        question paper.
7.      It is in your own interest to write legibly and to present the work neatly.

Copyright reserved                                                           Please turn over

### Page 3

Mathematics Grade 10/P1                        3                                    NW/June 2017
                                              NSC

QUESTION 1

1.1    Given the following numbers:                                       , write down:
       1.1.1   one non real number                                                        (1)
       1.1.2   two irrational numbers                                                     (2)

1.2    Write the recurring decimal       as a fraction, showing all calculations.         (4)
1.3    Determine without calculator between which two consecutive integers does

               lie.                                                                       (2)
                                                                                           [9]
QUESTION 2
2.1    Simplify the following expressions:

      2.1.1                                                                               (2)

      2.1.2                                                                               (4)

      2.1.3                                                                               (4)

      2.1.4                                                                               (4)
2.2    Factorise the following expressions fully:

       2.2.1                                                                              (3)

       2.2.2                                                                              (2)
                                                                                          [19]

QUESTION 3

3.1    Solve for      :

       3.1.1                                                                              (4)

       3.1.2                                                                              (2)

Copyright reserved                                                   Please turn over

### Page 4

Mathematics Grade 10/P1                           4                                  NW/June 2017
                                                 NSC

         3.1.3                                                                            (4)

3.2      Solve the following inequality and represent the solution graphically:

                                                                                          (4)
3.3      80 toy motorcycles are stored in a storeroom. The toy motorcycles have either
         2 wheels or 3 wheels and you know that there are 181 wheels in total. How many
         2 wheel and how many 3 wheel motorcycles are there?                            (5)

3.4      A volume of a cone given by:               , determine                           (3)
                                                                                          [22]

QUESTION 4
4.1      Given the following number pattern:      7; 11; 15; 19;...

         4.1.1   Determine the formula for the      term of the sequence                  (3)

         4.1.2   Use the formula to determine the 71st term of the sequence               (2)

         4.1.3   Which term of the sequence is equal to 131?                              (2)

4.2      Consider the number pattern:

         4.2.1   Write down the next two terms of the sequence                            (2)
         4.2.2   Determine the     term of the sequence                                   (3)
                                                                                          [12]

QUESTION 5

                    and
Given:

5.1      Determine the x- intercept(s) of the graph of g                                  (2)

5.2      Sketch the graphs of    and    on the same set of axes on the DIAGRAM
         SHEET provided.                                                                  (6)

5.3      Write down the range of the graph of f                                           (1)

Copyright reserved                                                     Please turn over

### Page 5

Mathematics Grade 10/P1                                             5                                             NW/June 2017
                                                                   NSC

5.4       Write down the equation of                                                                                   (2)

5.5       Write down the equations of the asymptotes of p                                                              (2)

                                                                                                                       [13]

                                                                                                                TOTAL: 75

DIAGRAM SHEET FOR QUESTION 5.2.

Name of learner:.............................................................................................

Copyright reserved                                                                                  Please turn over

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