# Mathematics Grade 10 P1 North West June 2018 Question Paper

> Grade 10 Mathematics Paper 1 question paper from the North West June 2018, 5 pages. Read online or get the free PDF download, memo linked when available.

- Page: https://www.hlayiso.com/library/mathematics-gr-10-paper-1-1/4d7668f6-efae-4fd0-871e-b4d1e7891693
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 10
- Document type: Question paper
- Year: 2018
- Exam period: North West June
- Paper: 1
- Curriculum: CAPS
- Pages: 5

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## About this document

Mathematics · Grade 10 · North West June · 2018. 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

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                                   GRADE 10

                          MATHEMATICS PAPER 1

                   MID YEAR EXAMINATION 2018

MARKS: 75

TIME: 1 hour 30 minutes

                      This question paper consists of 5 pages

                          Demo
                                 NW/JUNE/MATH/ EMIS/6*******

### Page 2

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Mathematics/P1                                      2                                 NW/June 2018
                                                 Grade 10

INSTRUCTIONS AND INFORMATION

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

                             Demo
                                     NW/JUNE/MATH/ EMIS/6*******

### Page 3

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Mathematics/P1                                                3                     NW/June 2018
                                                           Grade 10

QUESTION 1
                                                                              1
Given the following numbers: 7 2 ; 0,4 3;                    121;  2 ; 3 
                                                                               27

1.1    Write down two rational numbers                                                    (2)

1.2    Use a calculator to write down the value of  2 rounded off to two decimal places (1)
                                                   
1.3    Write the recurring decimal 0,4 3 as a fraction                                    (4)

1.4    Determine between which two consecutive integers does 7 2 lie?                     (3)
                                                                                        [10]

QUESTION 2
2.1    Expand the following product:

       (2a  3b)(3a 2  2ab  3b 2 )                                                     (3)

2.2    Factorise fully:

       2.2.1     3 x  6 y  ax  2ay                                                    (2)

       2.2.2     3 x 2  17 x  6                                                        (2)

2.3    Simplify the following:

                 2 3 n  2 .8 n  3
       2.3.1                                                                             (5)
                     4 3n  2

                 p3  q3 3 p  3q
       2.3.2             2 2                                                            (4)
                  6 p2   p q

                                                                                         [16]

QUESTION 3
3.1    Solve for x:

       3.1.1     3 x  5  2(3 x  1)                                                    (3)

       3.1.2     x ( x  2)  8                                                          (4)

                               1
       3.1.3     32 x  2                                                               (4)
                               27

                                      Demo
                                             NW/JUNE/MATH/ EMIS/6*******

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Mathematics/P1                                  4                                     NW/June 2018
                                             Grade 10

3.2    Solve the following inequality and represent it and graphically:
           1 x 1 1
                                                                                          (4)
           3   6   18

3.3    A fruit yoghurt cost R4 more than a plain yoghurt. It is further given that 5 fruit
       yoghurts and 3 plain yoghurts together cost R84.

       3.3.1 Assign variable x to price of fruit yoghurt and y to price of plain yoghurts
             and set up a system of equations                                             (2)

       3.3.2 Using the above equations, determine the individual prices of the yoghurts (5)
                                                                                       [22]

QUESTION 4
4.1    The diagrams below are made up of blocks:

       4.1.1 How many blocks will the 4th diagram have?                                      (2)
       4.1.2 Determine the Mathematical formula for the number of blocks required for
             the n th diagram.                                                        (3)

       4.1.3 Which diagram will have 70 blocks?                                              (2)

4.2    Study the following illustration:

         88  9  9  7
        888  98  9  6
       8888  987  9  5

       Express 8888888 as per the illustration above.                                        (2)
                                                                                              [9]

                            Demo
                                   NW/JUNE/MATH/ EMIS/6*******

### Page 5

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Mathematics/P1                                   5                                 NW/June 2018
                                              Grade 10

QUESTION 5
5.1 The graphs of f ( x)   x 2  9 and g ( x)  x  3 are drawn:

       5.1.1 Calculate the coordinates of C and E, the y – intercepts of the graphs.     (3)

       5.1.2 Hence or otherwise calculate the length of CE.                              (2)

       5.1.3 Calculate coordinates of A, the point of intersection of the two graphs.    (4)

5.2    Draw a sketch of y  ab x  q where       a  0, b  1 and q  0                  (3)
                                                                                        [12]
QUESTION 6
                 2
Given: h( x)      1
                 x
6.1    Determine the x – intercept(s) of h.                                             (2)
6.2    Write down the equation of the horizontal asymptote of h                         (1)
6.3    Draw the graph of h(x ) on the system of axes.                                   (3)
                                                                                         [6]

                                                                GRAND TOTAL: 75 MARKS

                           Demo
                                  NW/JUNE/MATH/ EMIS/6*******

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