# Mathematics Grade 7 November 2015 Question Paper

> Grade 7 Mathematics question paper from the November Exam 2015, 20 pages. Read online or get the free PDF download, memo linked when available.

- Page: https://www.hlayiso.com/library/2015-ana-gr-7-math-test-eng-2015/86a698c8-a0bc-4398-8c19-a92a066b8091
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 7
- Document type: Question paper
- Year: 2015
- Exam period: November Exam
- Curriculum: CAPS
- Pages: 20

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## About this document

Mathematics · Grade 7 · November Exam · 2015. Question paper, 20 pages. Read online or download the PDF.

Read it free online on the page above; download the PDF from there.

## Document text

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

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                    ANNUAL NATIONAL ASSESSMENT 2015
                       GRADE 7 MATHEMATICS TEST

MARKS: 100                                            MARKS
TIME: 2 hours

PROVINCE _________________________________________________________

DISTRICT __________________________________________________________

CIRCUIT ___________________________________________________________

SCHOOL ___________________________________________________________

EMIS NUMBER (9 digits)

CLASS (e.g. 7A) __________________

SURNAME _________________________________________________________

NAME _____________________________________________________________

GENDER (✓)
                BOY                              GIRL

DATE OF BIRTH       C    C    Y    Y    M    M    D     D

           This test consists of 14 pages, excluding the cover page.

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Instructions to the learner

1. Read all the instructions carefully.
2. Question 1 consists of 10 multiple-choice questions. You must circle the letter of the
   correct answer.
3. Answer questions 2 to 8 in the spaces provided.
4. All working must be shown.
5. The diagrams are not drawn to scale.
6. The test is out of 100 marks.
7. The test duration is 2 hours.
8. The teacher will lead you through the practice question before you start the test.
9. You may use a calculator unless otherwise stated.

Practice question.

Circle the letter of the correct answer.

1.      The next number in the number sequence 1 ; 3 ; 5 ; 7 ; … is …
           A       8
           B       12
           C       16
           D       9

Your answer is correct if you circled D.

                                The test starts on the next page.

Grade 7 Mathematics Test                        1

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QUESTION 1

1.1        The lowest common multiple of 5 and 7, is …
           A       5
           B       35
           C       12
           D       7                                           (1)

1.2        In 6𝑥𝑥 + 2, the variable is …
           A       6𝑥𝑥
           B       6𝑥𝑥 + 2
           C       𝑥𝑥
           D       6                                           (1)

1.3        32 written as a product of its prime factors is …
           A       1 × 32
           B       2 × 16
           C       2 × 2 × 2 × 2 × 2
           D       2 × 4 × 4                                   (1)

1.4        What percentage is 1 200 of 5 000?
           A       24%
           B       50%
           C       38%
           D       12%                                         (1)

Grade 7 Mathematics Test                         2

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                                      𝑘𝑘
1.5        What is the value of 3 −        if 𝑘𝑘 = 4?
                                      2

           A       4
           B       1
           C       2
           D       −2                                                                    (1)

1.6        A quadrilateral in which all 4 sides are equal, is called a …
           A       rectangle.
           B       parallelogram.
           C       rhombus.
           D       kite.                                                                 (1)

1.7        A set of points with a definite starting-point and no definite end-point is
           called a …
           A       line segment.
           B       ray.
           C       straight line.
           D       perpendicular line.                                                   (1)

1.8                                            X

                                                   Y

                           W
                                           Z
           In the above figure, WX and ZY are…
           A       perpendicular line segments.
           B       parallel line segments.
           C       intersecting line segments.
           D       vertical line segments.                                               (1)

Grade 7 Mathematics Test                                3

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1.9        The perimeter of a regular pentagon with one side equal to 5 cm is …
           A            25 cm
           B            5 cm
           C            35 cm
           D            30 cm                                                       (1)

1.10               𝑥𝑥                 1     2          3           4
                   𝑦𝑦                 4     5          6           7

           The relationship between 𝑥𝑥 and y is …
           A            𝑦𝑦 = 5 × 𝑥𝑥
           B            𝑦𝑦 = 3 × 𝑥𝑥
           C            𝑦𝑦 = 𝑥𝑥 + 4
           D            𝑦𝑦 = 𝑥𝑥 + 3                                                 (1)
                                                                                    [10]

QUESTION 2

2.1        Calculate without using a calculator. Show the calculation steps where
           needed.
           2.1.1          1 643 884 + 262 206
                          ________________________________________________

                          ________________________________________________

                          ________________________________________________

                          ________________________________________________          (2)

Grade 7 Mathematics Test                        4

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           2.1.2      6 517 ÷ 31
                      ________________________________________________

                      ________________________________________________

                      ________________________________________________

                      ________________________________________________

                      ________________________________________________

                      ________________________________________________

                      ________________________________________________   (4)
           2.1.3      315 × 236
                      ________________________________________________

                      ________________________________________________

                      ________________________________________________

                      ________________________________________________

                      ________________________________________________

                      ________________________________________________
                                                                         (4)
           2.1.4      23 × 14
                      ________________________________________________

                      ________________________________________________   (3)

           2.1.5      √144 + 62
                      ________________________________________________

                      ________________________________________________

                      ________________________________________________
                                                                         (3)

Grade 7 Mathematics Test                   5

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           2.1.6      3 7
                       ×
                      5 6
                      ________________________________________________

                      ________________________________________________

                      ________________________________________________

                      ________________________________________________           (3)
           2.1.7      0,012 ÷ 4
                      ________________________________________________

                      ________________________________________________           (1)
           2.1.8      100 − 12 ÷ (8 + 4)
                      ________________________________________________

                      ________________________________________________

                      ________________________________________________           (3)

2.2        Write 1,6 as an improper fraction in the simplest form.
           _________________________________________________________

           _________________________________________________________             (2)

2.3        A group of 25 Grade 7 learners watched a soccer match. The ratio of
           the number of boys to the number of girls was 2 ∶ 3. How many boys
           were there?
           _________________________________________________________

           _________________________________________________________

           _________________________________________________________

           _________________________________________________________

           _________________________________________________________             (3)

Grade 7 Mathematics Test                         6

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2.4        Calculate 10% of R15,00.
           _________________________________________________________

           _________________________________________________________

           _________________________________________________________                  (3)

2.5        John travelled by car at an average speed of 80 kilometres per hour for
             1
           4 hours. Calculate how far he travelled.
             2
           _________________________________________________________

           _________________________________________________________

           _________________________________________________________

           _________________________________________________________                  (3)
                                                                                      [34]

QUESTION 3

3.1        3.1.1      Fill in the missing numbers in the following number sequence:
                            1 ; 4 ; 9 ; _______ ; 25 ; _______.                       (2)

           3.1.2      Are the numbers in the above number sequence prime
                      numbers, square numbers or cubic numbers?
                      ________________________________________________                (1)

Grade 7 Mathematics Test                        7

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3.2        Study the following diagram pattern of regular octagons and then
           complete the table.

             Number of polygons        1     2     3     4    𝑛𝑛
               Number of sides         8    15    22
                                                                                         (3)

3.3        Use the given rule to fill in the missing values in the flow diagram below.

                           𝑝𝑝                                       𝑡𝑡

                            7                                      11

                           11                                      ______(3.3.1)
                                           𝑡𝑡 = 2 × 𝑝𝑝 − 3
             (3.3.2)______
                                                                    21

                           20                                      ______(3.3.3)         (3)

3.4        Calculate the value of 𝑐𝑐 3 + 12 if 𝑐𝑐 = 3.
           ________________________________________________________

           ________________________________________________________

           ________________________________________________________

           ________________________________________________________                      (3)

3.5        Solve the following equations by inspection:
           3.5.1      𝑘𝑘
                         =9
                      3
                      ________________________________________________                   (1)

Grade 7 Mathematics Test                            8

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           3.5.2                            𝑦𝑦 − 17 = 13
                                            ________________________________________________               (1)

3.6        3.6.1                            Write an algebraic expression for the following:

                                            𝑥𝑥 increased by five
                                            ________________________________________________               (1)
           3.6.2                            Write a number sentence for the following:

                                            Two times a certain number 𝑝𝑝 decreased by eight is equal to
                                            twelve.
                                            ________________________________________________               (3)

3.7        The given graph illustrates the number of hot dogs sold on different
           school days during one week.

                                                       Hot dog sales during one week
                                       60

             Number of hot dogs sold
                                       50
                                       40
                                       30
                                       20
                                       10
                                        0
                                         Mon            Tue            Wed              Thu       Fri
                                                              Days of the school week

           3.7.1                            How many hot dogs were sold on Thursday?
                                            _________________________________________________              (1)
           3.7.2                            On which days did the sales remain constant?
                                            _________________________________________________              (1)
           3.7.3                            Calculate the difference between the number of hot dogs sold
                                            on Monday and on Thursday.
                                            _________________________________________________              (2)
                                                                                                           [22]

Grade 7 Mathematics Test                                                 9

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QUESTION 4

4.1        Study the triangles marked A, B, C and D.

                     A                                  C             D
                                        B

           Complete the table below by filling in A, B, C or D.

             Equilateral triangle   Right-angled triangle   Obtuse-angled triangle

                                                                                     (3)

4.2        Study the diagram below and answer the questions that follow.
                               A

                                            D

                                    B                         C

           4.2.1                            �?
                      What kind of angle is C
                      _______________________________________________                (1)
           4.2.2                             � C?
                      What kind of angle is AB
                      _______________________________________________                (1)
           4.2.3                             � C?
                      What kind of angle is BD
                      _______________________________________________                (1)
           4.2.4      Name a pair of perpendicular line segments.
                      _______________________________________________                (1)

Grade 7 Mathematics Test                         10

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4.3        T is the centre of the circle. Name the parts of the circle that are listed.
                           P
                                                4.3.1 PQ is called ______________.
                                   M

           S                                    4.3.2 TM is called ______________.
                       T

                                                4.3.3 PS is called ______________.

                        Q                                                                 (3)
4.4     . Identify each of the figures below:

                       Fig A
                                         4.4.1 Figure A is a ___________________

                     Fig B               4.4.2 Figure B is a ___________________

                                         4.4.3 Figure C is a ___________________
                    Fig C

                    Fig DD
                    Fig                  4.4.4 Figure D is a ___________________
                                                                                          (4)
                                                                                          [14]

QUESTION 5

5.1        In an equilateral triangle PQR, PQ = 23 mm
           Complete:
           5.1.1      QR = PR = ______ mm                                                 (1)
           5.1.2      � �=�
                      P=Q R = _______°                                                    (1)

Grade 7 Mathematics Test                          11

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5.2        Study the diagram below and then, answer the questions that follow.
                                               D

                                    4 cm

                                   40°
                                    40°
                               E                                F

           5.2.1      What is the length of DF?
                      ________________________________________________                (1)
           5.2.2      If �
                         E = 40°, what is the size of �F?
                      ________________________________________________                (1)

                                                                                      [4]

QUESTION 6

6.1        Study the pairs of diagrams below and complete the statements by filling
           in A or B or C or D in the spaces provided.

                           A               B                C        D

           6.1.1      The 2 shapes in __________________ are congruent.               (1)
           6.1.2      The 2 shapes in __________________ are similar.                 (1)

Grade 7 Mathematics Test                           12

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6.2        Write down whether each pair of triangles given below is congruent,
           similar or neither.

                                                                             3
                                                                         2
                                                               6
                                                                                 1
                                                          4

                                                                     2
                     Pair 1                                         Pair 2

           6.2.1      Triangles in pair 1 are ________________________.              (1)

           6.2.2      Triangles in pair 2 are ________________________.              (1)
                                                                                     [4]

QUESTION 7

7.1        Calculate the perimeter of the rectangle if the length is 11 cm and the
           breadth is 5 cm.
           _________________________________________________________

           _________________________________________________________

           _________________________________________________________

           _________________________________________________________                 (3)

7.2        Write down the formula for the surface area of a cube.
           _________________________________________________________                 (1)

Grade 7 Mathematics Test                        13

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7.3        In the rectangular prism below, the length = 5 cm, the breadth = 3 cm
           and the height = 10cm.

           Calculate the volume of the rectangular prism.

           ________________________________________________________

           ________________________________________________________

           ________________________________________________________

           ________________________________________________________                 (3)
                                                                                    [7]

QUESTION 8

8.1     A mother is twice as old as her daughter. How old is the daughter if the
        mother is 64 years old?
        ___________________________________________________________

        ___________________________________________________________                 (2)

8.2     The product of two prime numbers is 10. What is the difference between
        the two prime numbers?
        ___________________________________________________________

        ___________________________________________________________                 (3)
                                                                                    [5]
                                                                           TOTAL:   100

Grade 7 Mathematics Test                       14

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Grade 7 Mathematics Test      18

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