# Mathematical Literacy Grade 11 P2 2016 Memo

> Grade 11 Mathematical Literacy Paper 2 memorandum from the KwaZulu Natal June 2016, 16 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/maths-literacy-p2-june-and-memo/7f87dcb4-9472-4ca5-9f23-4c3e042600ee
- Updated: 2026-09-27
- Subject: Mathematical Literacy
- Grade: Grade 11
- Document type: Memorandum
- Year: 2016
- Exam period: KwaZulu Natal June
- Paper: 2
- Curriculum: CAPS
- Pages: 16

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## About this document

Mathematical Literacy · Grade 11 · KwaZulu Natal June · 2016. Memorandum, 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

Basic Education

KwaZulu-Natal Department of Basic Education
REPUBLIC OF SOUTH AFRICA

MATHEMATICS P2
COMMON TEST

pa JUNE 2016 "

* y
eee errr re er eet eee Te ee ee eee ee eee re eer

‘ NATIONAL ;
SENIOR CERTIFICATE

[ GRADE 11 ]

MARKS: 100

TIME: 2 hours |

This question paper consists of 8 pages and 3 diagram sheets.

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Mathematics P2 Downloaded from hlayiso.com Common Test June 2016
NSC

INSTRUCTIONS AND INFORMATION

Read the following instruction carefully before answering the questions.

1, The question paper consists of 6 questions.

2. Answer ALL the questions.

3. Clearly show all calculations and diagrams that you have used in determining your
answers.
4, You may use an approved scientific calculator (non-programmable and non-graphical).
5. If necessary round off answers to TWO decimal places, unless otherwise stated.
6. Answers only will not be awarded full marks. ( !
7. Diagrams not necessarily drawn to scale.
8. Number the answers correctly according to the numbering system used in this question
paper.

9. Write neatly and legibly.

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Mathematics P2 Common Test June 2016

QUESTION 1
1.1 In the diagram below PQRS is a square with sides of 5 units. The coordinates of R
is (1;-2). PQ is parallel to the x-axis.

y
a Q
5 units
x
sc RA; ~2)
1.1.1 Write down the coordinates of Q. (qt)
1.1.2. Write down the coordinates of S. (1)
1.1.3 Write down the equation of PQ, (1)
1.1.4 Write down the equation of QR. 43)

1.2 Inthe sketch below A(0;4), B(-4;-3) and C(4;~2) are the vertices of AABC.
K is the midpoint of AC. AT is drawn with T a point on the x-axis, such that the acute
angle between AT and the x-axis is equal to 26,6°. S(p; 1) is a point on AT.

¥ a0; 4)
K (p3 1)
26,6:
~~ x
C(4; -2)
B(-4; -3)
1.2.1 Determine the coordinates of point K, (2)
1.2.2 Calculate the length of AC, correct to.2 decimal places. (2)
1.2.3 Calculate the gradients of BK and AC and then show that BKC = 90°. (6)
1.2.4 Determine the equation of line BK. @)
1.2.5 Calculate the area of AABC, correct to 2 decimal places, (5)
1.2.6 Calculate the value of p. (5)

[26]

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Mathematics P2
NSC

QUESTION 2

2.1  PORS is a parallelogram. The equation of PQis y =is .

The gradient of SP is equal to ~1. R is the point (3; 2).

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(3 52)

'Q @&y)

PO; 2)

2.1.1 Write down the gradient of RQ.

2.1.2 Determine the equation of RQ.

2.1.3 Calculate the coordinates of point Q.

2.1.4 Calculate the size of SPQ.

2.2 Given A(6;7), B(O;—1) and C (4; p).
Calculate
2.2.1 The length of AB.

2.2.2 The value of p if AB=2 BC, p <0

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Common Test June 2016

()
(2)
)

6)

(2)
6)
(19]

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Mathematics P2 ‘common Test June 2016

N.B: Give reasons for your statements and calculations in Questions 3 — 6.

QUESTION 3

3.1 COMPLETE: The line drawn from the centre of a circle to the midpoint of a chord

cscerssunssvevevssacaestvevsvisessvavsevevevavsuevivevivevavececanstsevanenevaes (1)
3.2
O is the centre of the circle. AB is a chord and
OP LAB. OP is extended and intersects the circle at N.
AB = 16 cm and PN= 2 om.
oO Let oP = x,
P
N
3.2.1 Calculate the length of AP. (2)
3.2.2 Calculate the length of the radius of the circle. (5)
[8]

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Common. Test June 2016

QUESTION 4

4.1 Inthe figure below O is the centre of the circle and A, B and C are three points on
the circumference of the circle. Use the figure and prove the theorem that states that

BOC =2A,.

4.2. In the figure O is the centre of the circle and ABCD is a cyclic quadrilateral.
DA is produced to F such that FA = AC and CB is produced to meet DF at F.

oO ¢

F

4.2.1 If f =x, write down, with reasons, in terms of x,

an (a) the size of A OO (C)
(b) the size of 6,. (2)
4.2.2 Ifitis further given that FA = DA, find with reasons, the size of A, . (6)
[18]

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Mathematics P2

QUESTION 5

5.1. In the diagram below O is the centre of the circle. G, H, J and K are points on the
circumference of the circle.

GOH is a diameter.
Chords GH, JH, KH, KJ and GK have also been drawn.
H, =26°.
x J
G
0

Calculate, with reasons, the size of
S11 K,.
512 49,

5.2. GAFE and FCDE are two circles, Chords GA, AF, EF, CF, CD and DE aie drawn.
GFC isa straight line. DC produced meets GA produced at B,

Ey = 28° and B, = 64°,

Calculate, with reasons, the size of
521 G
5.2.2 B

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Common Test June 2016

(1)
3)

(2)

(4)

[10]
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Mathematics P2. Common Test June 2016

QUESTION 6

In the figure PR and PQ are two tangents drawn from point P to circle AQR. The straight
line drawn through P parallel to AR meets QR produced at 8, and QA produced at T.
The tangent PR cuts QT at B.

Let R, =x
6.1 Prove that PTRQ is a cyclic quadrilateral. (3) ( '

6.2 If itis further given that QA = RA, prove that:

621 S=x (3)

62.2 PQ=RS (5)

6.2.3 PTS is atangent to circle TAR. (6)
. (19)

oS  POTAL MARKS: [100P >

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Mathematics P2

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DIAGRAM SHEETS: HAND IN WITH YOUR ANSWER BOOK

[
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| NAME: GRADE:
\ QUESTION 1.2
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QUESTION 3.2

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Common Test June 2016

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Mathematics P2 Comution Test June 2016
NSC
QUESTION 4.1
A
B (ei
QUESTION 4,2
QUESTION 5.1

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Mathematics P2

NSC

QUESTION 5.2

QUESTION 6

Lads ddOUVAL

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