# Mathematics Grade 11 P2 Eastern Cape November 2016 QP (Eng)

> Grade 11 Mathematics Paper 2 question paper from the Eastern Cape November 2016 (English), 16 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/maths-p2-gr11-qp-nov2016-english/8e51b3ab-c405-4dab-b3be-458409636e04
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 11
- Language: English
- Document type: Question paper
- Year: 2016
- Exam period: Eastern Cape November
- Paper: 2
- Curriculum: CAPS
- Pages: 16

Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 11](https://www.hlayiso.com/library/grade-11) › [Mathematics](https://www.hlayiso.com/library/grade-11/mathematics) › [Mathematics Grade 11 P2 Eastern Cape November 2016 QP (Eng)](https://www.hlayiso.com/library/maths-p2-gr11-qp-nov2016-english/8e51b3ab-c405-4dab-b3be-458409636e04)

## About this document

Mathematics · Grade 11 · Eastern Cape November · 2016 · English. Question paper, 16 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.

### Page 1

Downloaded from hlayiso.com

                                 NATIONAL
                            SENIOR CERTIFICATE

                                       GRADE 11

                               NOVEMBER 2016

                             MATHEMATICS P2

MARKS:   150

TIME:    3 hours

               This question paper consists of 14 pages and a special answer book.

### Page 2

2
                Downloaded from hlayiso.com
                        MATHEMATICS P2                                       (EC/NOVEMBER 2016)

 INSTRUCTIONS AND INFORMATION

 1.     This question paper consists of 10 questions.

 2.     Answer ALL the questions in the SPECIAL ANSWER BOOK provided.

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

 4.     Answers only will NOT necessarily be awarded full marks.

 5.     If necessary round off your answers to TWO decimal places, unless stated
        otherwise.

 6.     Diagrams are not necessarily drawn to scale.

 7.     You may use an approved scientific calculator (non-programmable and non-
        graphical) unless stated otherwise.

 8.     Write neatly and legibly.

Copyright reserved                                                                 Please turn over

### Page 3

3
                 Downloaded from hlayiso.com
                         MATHEMATICS P2                                        (EC/NOVEMBER 2016)

 QUESTION 1

 Mr Ngwane is the sales manager for a furniture shop. Every month his 15 staff
 members report on the number of customers who visited during the previous month.
 The results were given as follows:

    12   15      15     19     22    23     26    26   32   33   33    33    33    35     35

 1.1     Determine the:

         1.1.1       median of the data                                                     (1)

         1.1.2       interquartile range                                                    (3)

         1.1.3       mean of the data                                                       (2)

         1.1.4       standard deviation of the data.                                        (2)

 1.2     Determine the percentage of customers who visited the furniture shop that are
         outside one standard deviation of the mean.                                         (3)
                                                                                            [11]

Copyright reserved                                                                Please turn over

### Page 4

4
                Downloaded from hlayiso.com
                        MATHEMATICS P2                                         (EC/NOVEMBER 2016)

 QUESTION 2

 A group of learners wrote a standardised English test that was scored out of 60. The
 results were represented in a cumulative frequency graph below.

 2.1    How many learners wrote the test?                                                    (1)

 2.2    How many learners scored at least 20 out of 60?                                      (2)

 2.3    Using the graph, estimate the median test score.                                     (2)

Copyright reserved                                                                Please turn over

### Page 5

5
                Downloaded from hlayiso.com
                        MATHEMATICS P2                              (EC/NOVEMBER 2016)

 2.4    Complete the frequency table below using the SPECIAL ANSWER BOOK
        provided.

                     Marks obtained                   Frequency
                        0<x≤10
                       10<x≤20
                       20<x≤30
                       30<x≤40
                       40<x≤50
                       50<x≤60                                                   (5)

 2.5    Write down the modal group.                                              (1)
                                                                                [11]

Copyright reserved                                                    Please turn over

### Page 6

6
                Downloaded from hlayiso.com
                        MATHEMATICS P2                                              (EC/NOVEMBER 2016)

 QUESTION 3

 In the diagram below, ∆ PQS is drawn with vertices P (-2 ; 3), Q (3 ; 6) and S in a
 Cartesian plane. Line QS passes through the origin at O. PS║QR.
 PŜQ  20,230 .

 3.1    Calculate the gradient of QS.                                                            (2)

 3.2    Calculate the size of  .                                                                (2)

 3.3    Determine the:

        3.3.1        gradient of PS, round off to the nearest number.                            (4)

        3.3.2        equation of PS                                                              (3)

 3.4    If it is further given that the equation of QS is y  2 x , determine the
        coordinates of S.                                                                        (4)

 3.5    Calculate the length of QS, in simplified surd form.                                     (3)

Copyright reserved                                                                    Please turn over

### Page 7

7
                Downloaded from hlayiso.com
                        MATHEMATICS P2                                             (EC/NOVEMBER 2016)

 3.6    Calculate the area of ∆PQS, rounded off to two decimal digits.                           (5)

 3.7    If it is further given that PQRS is a parallelogram, determine the coordinates of
        R.                                                                                       (3)

 3.8    A(5 ; 4), B(0 ; -1) and C(t ; 2) are collinear points, determine the value of t.         (4)
                                                                                                [30]

Copyright reserved                                                                    Please turn over

### Page 8

8
                 Downloaded from hlayiso.com
                         MATHEMATICS P2                                   (EC/NOVEMBER 2016)

 QUESTION 4

 4.1    Given: p. sin   4  0 and p. cos   3  0 where p  0

        4.1.1                          
                     Explain why   90 0 ;180 0 .                                    (3)

                                              4
        4.1.2        Show that: tan   
                                              3                                        (2)

        4.1.3        Determine the numerical value of p.                               (2)

 4.2    Simplify without using a calculator:

         sin 1430. cos 127 0  sin 530. cos 37 0                                       (5)

                                            1 
 4.3    Prove the identity:  tan y                       
                                                  1  cos 2 y  tan y
                                          tan y                                      (6)

                                                             1    5
 4.4    Determine the general solution of: cos                
                                                           cos  6                     (6)
                                                                                      [24]

Copyright reserved                                                          Please turn over

### Page 9

9
                Downloaded from hlayiso.com
                        MATHEMATICS P2                                            (EC/NOVEMBER 2016)

 QUESTION 5

 5.1    On the same set of axes draw f ( x)   cos(450  x) and g ( x)  tan( x) in the
        interval of  90 0  x  180 0 . Make use of the grid provided in the SPECIAL
        ANSWER BOOK.

 5.2    For which values of x is f ( x)  g ( x)  0 for x ∈ [−90° ; 90°]                       (2)

 5.3    Write down the equation of h(x) if h( x)   f ( x  450 ) .                            (2)
                                                                                               [10]

Copyright reserved                                                                   Please turn over

### Page 10

10
                Downloaded from hlayiso.com
                        MATHEMATICS P2                                        (EC/NOVEMBER 2016)

 QUESTION 6

 6.1    Complete:          a 2  b 2  2ab cos 𝐶̂                                        (1)

 6.2    TRS is a secant of the circle, and SU is a tangent at U. TU = 16 cm, TR = 12 cm
        and T̂  410 .

        Calculate the:

        6.2.1        Length of UR, correct to two decimals.                                (3)

        6.2.2        Size of Û 2                                                          (3)

        6.2.3        Length of secant TRS                                                  (5)
                                                                                          [12]

Copyright reserved                                                              Please turn over

### Page 11

11
                Downloaded from hlayiso.com
                        MATHEMATICS P2                                         (EC/NOVEMBER 2016)

 QUESTION 7

 Surface Area  2πrh                                         Surface Area  4r 2
           1
 Volume  lbh                                                 Volume  lbh
           3

 The picture below shows a storage tank in which a farmer stores his grain. The tank is made
 up of a right cylinder with a hemisphere on top. The perpendicular height of the tank to the
 top is 7 500 cm and the radius of the tank is 10 m.

                                                                 7 500 cm

                                              10 m

 7.1    Calculate the total surface area of the tank.                                           (5)

 7.2    Calculate the volume of the tank                                                     (5)
                                                                                            [10]

Copyright reserved                                                                Please turn over

### Page 12

12
                 Downloaded from hlayiso.com
                         MATHEMATICS P2                                       (EC/NOVEMBER 2016)

Give reasons for ALL statements in QUESTIONS 8, 9 and 10.

QUESTION 8

In the diagram below O is the centre of the circle. Quadrilateral ABCO is drawn with A
and C on the circumference. AB is a tangent to the circle at point A and BC is a tangent
to circle at point C. D is the midpoint of chord AC and AD = DC. E is the point on the
circumference of the circle with centre O.

The length of:
AC = 8 cm,
OD = 3 cm,
BE = x and
AB = x + 4.

8.1     Write down the size of D̂1 with a reason.                                           (2)

8.2     Calculate the length of OA.                                                         (2)

8.3     Determine the size of  and give a reason for your answer.                         (2)

8.4     Calculate the value of x if x  1 .                                                 (4)
                                                                                           [10]

Copyright reserved                                                               Please turn over

### Page 13

13
                Downloaded from hlayiso.com
                        MATHEMATICS P2                                        (EC/NOVEMBER 2016)

 QUESTION 9

 In the diagram ∆LNR is drawn with points L and R on the circumference of a circle. NR
 cuts the circle at M. K is a point on LR with KN the bisector of LN̂R . KN cuts the
 chord LM at O. LK = LO. LÔK  650 and KN̂M  25 0 .

 9.1    Prove that LN is a diameter of a circle passing through L, M and N.                (5)

 9.2    Determine the size of L̂ .                                                         (5)

 9.3    Show that LN is a tangent to circle LMR.                                           (3)

 9.4    Is LR a diameter to circle LMR? Motivate your answer.                              (2)
                                                                                          [15]

Copyright reserved                                                              Please turn over

### Page 14

14
                Downloaded from hlayiso.com
                        MATHEMATICS P2                                            (EC/NOVEMBER 2016)

 QUESTION 10

 O is the centre of the bigger circle. O lies on the circumference of the smaller circle.
 OWVU are points on the circumference of the smaller circle. TSVU are points on the
 circumference of the bigger circle.

 10.1   Name FOUR other angles each equal to x with reasons.                                    (8)

 10.2   Determine the size of Ŵ2 in terms of x with reasons.                                   (4)

 10.3   Prove that WS = WV.                                                                     (5)
                                                                                               [17]

                                                                                 TOTAL:        150

Copyright reserved                                                                   Please turn over

### Page 15

Downloaded from hlayiso.com

### Page 16

Downloaded from hlayiso.com

## Related documents

- [MATHS P2 AB GR11 NOV 2023 Afri+English](https://www.hlayiso.com/library/maths-p2-ab-gr11-nov-2023-afri-english/eee869d2-4e88-4265-9665-6bcf4b2cfc27) — Mathematics · QP · 2023 · Eng
- [Gr 11 Math P2 (English) June 2023 Question Paper](https://www.hlayiso.com/library/gr-11-math-p2-english-june-2023-question-paper/ab59de7d-dca0-4ed6-95a6-dcb8ce60d27d) — Mathematics · QP · 2023 · Eng
- [Gr 11 Mathematics P2 (English) 2023 Question Paper](https://www.hlayiso.com/library/gr-11-mathematics-p2-english-2023-question-paper/b8f6a489-3cb4-476d-8c5a-3c2de035fcf8) — Mathematics · QP · 2023 · Eng
- [Gr 11 Mathematics P2 (English) November 2022 Question Paper](https://www.hlayiso.com/library/gr-11-mathematics-p2-english-november-2022-question-paper/130a0fe0-0914-40c3-aedd-67a7e297f1cd) — Mathematics · QP · 2022 · Eng
- [Gr11 Math P2 June 2016 Question Paper](https://www.hlayiso.com/library/gr11-math-p2-june-2016-question-paper/aa2249f8-80f3-42ba-b4b6-0ebec49b6fc6) — Mathematics · QP · 2016
- [MATH P2 G11 ANSBK NOV2020 EA D](https://www.hlayiso.com/library/math-p2-g11-ansbk-nov2020-ea-d/583eb4f8-00f5-4c39-8338-e04e9a21ccab) — Mathematics · QP · 2020

## More from Grade 11 Mathematics

- [Grade 11 Mathematics P1 November 2026 Mock Memo](https://www.hlayiso.com/library/grade-11-mathematics-2026-november-mock-exam-memorandum-paper-1/470265ad-99e7-4e3e-af02-0c28a273b390) — Memo · 2026 · Eng
- [MATHS P1 MEMO GR11 NOV 2025 E+A watermark](https://www.hlayiso.com/library/maths-p1-memo-gr11-nov-2025-e-a-watermark/5af2bd74-cc9d-4651-895a-310a59d8ce25) — Memo · 2025
- [KZN Maths Grade 11 November 2025 P2 and Memo](https://www.hlayiso.com/library/kzn-maths-grade-11-november-2025-p2-and-memo/a2aac931-a969-41c8-bde2-85d23035d042) — QP + Memo · 2025
- [MATHS P2 GRADE 11 NOV 2024 ENG AFR MARKING GUIDELINE watermark](https://www.hlayiso.com/library/maths-p2-grade-11-nov-2024-eng-afr-marking-guideline-watermark/0f16be7d-4a28-41e1-9e8d-57c649490c1c) — Memo · 2024 · Eng
- [Gr 11 Mathematics P2 (English) June 2024 Possible Answers](https://www.hlayiso.com/library/gr-11-mathematics-p2-english-june-2024-possible-answers/a434fdfa-63d5-4142-bd70-67e2e579c02e) — Memo · 2024 · Eng
- [KZN Maths Grade 11 June 2024 P1 and Memo](https://www.hlayiso.com/library/kzn-maths-grade-11-june-2024-p1-and-memo/95105f0d-8c1a-4872-b9d1-23d423531e17) — Memo · 2024

## Collection

- [Grade 11 past papers](https://www.hlayiso.com/grade-11/past-papers)

---

Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.