# Mathematical Literacy Grade 11 P1 KZN November 2018 Memo

> Grade 11 Mathematical Literacy Paper 1 memorandum from the KZN November Exam 2018, 20 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/maths-literacy-nov-p1-and-memo/888e1016-bf51-4600-8e82-a09b3fbf3a7f
- Updated: 2026-09-27
- Subject: Mathematical Literacy
- Grade: Grade 11
- Document type: Memorandum
- Year: 2018
- Exam period: KZN November Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 20

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Mathematical Literacy · Grade 11 · KZN November Exam · 2018. Memorandum, 20 pages. Read online or download the PDF.

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### Page 1

MARKS: 150

TIME: 3 hours

Copyright reserved

basic education

>
y Department:
x () Basic Education

REPUBLIC OF SOUTH AFRICA

NATIONAL
SENIOR CERTIFICATE

GRADE 11

MATHEMATICS P1

NOVEMBER 2018

This question paper consists of 8 pages.

A 014000

Please turn over

### Page 2

Mathematics/P1

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2 DBE/November 2018
CAPS ~ Grade II

INSTRUCTIONS AND INFORMATION

Read the following instructions carefully before answering the questions.

I.

Bs

This question paper consists of NINE questions.
Answer ALL the questions.

Number the answers correctly according to the numbering system used in this
question paper.

Clearly show ALL calculations, diagrams, graphs, etc. that you have used in
determining your answers.

Answers only will not necessarily be awarded full marks.

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

Round off answers to TWO decimal places, unless stated otherwise.
Diagrams are NOT necessarily drawn to scale.

Write neatly and legibly.

lial CCNA TA A Please aun over

### Page 3

Mathematics/P |

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3
CAPS — Grade 11

QUESTION 1

Ll

1.4

Solve for x in each of the following:

Ltd x(2x+1)=0
1.1.2 5x? +2x-6=0 (correct to TWO decimal places)
1.1.3 2x? -2 = 3x
3
14 f2x+5- =-2
2x+5

Solve for x and y simultaneously:

y+x=2 and x +3xy+8=0

4+ /16-4m(-m+ 5)

The roots of the equation f(x) =0 are x= 5
mM

Determine the values of m for which the roots will be non-real.

Show that the maximum value of V—x? +4x412 is 4.

QUESTION 2

2.)

2.2

Simplify fully, WITHOUT using a calculator:

Solve for x:

291 2-16x? =0
22.2 4° +8 =9,2"
2.2.3 9 =243

Simplify fully:

Jp? -¢ x(p+q) if peq

(p-a)s

Cony I

m

DBE/November 2018

Please turn over

(6)

(4)

(4)
[29]

(4)

(4)

(3)

(3)
17]

### Page 4

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Mathematics/P 1 DBE/November 2018

CAPS — Grade 11

QUESTION 3
3.1 Given the linear pattern: 7;2;-3;...
31,1 Determine the general term, 7, , of the linear pattern. (2)
3.1.2 Calculate the value of 7,, . Q)
3.1.3 Which term in the pattern has a value of —138°? (2)
3.2 6; 2x+1 and 3x-3 are the first three terms of a linear pattern.
Calculate the value of x. (3)
19]
QUESTION 4
The quadratic number pattern: 4;p;11;q;22;... has a constant second difference of 1.
4.1 Show that p=7 and q=16. (3)
42 Determine the general term, 7, , of the quadratic pattern. (4)
4.3 Determine the value of # if 7, =232. (4)
4.4 If the sum of two consecutive terms in the pattern is | 227, calculate the difference
between these two terms. (5)
[16]

Cappnightxesnana HOTTA EAR Ps term over

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Mathematics/P 1 5 DBE/November 2018
CAPS = Grade 11

QUESTION 5

Given: f (x)= 4 +2 and g(x)=x+2

x-3

5.1 Write down the equations of the asymptotes of f. (2)
oa Determine the x-intercept of (3)
53 Determine the y-intercept of (2)
5.4 Sketch the graphs of f and g on the same system of axes. Show clearly ALL the

intercepts with the axes and any asymptotes. (5)
55 Calculate the x-coordinates of the points of intersection of f and g. (4)
5.6 If x <3, determine the values of x for which $ s+2<x+2. (2)

x- 2)

5.7 The line y=x—1 cuts f at P(1;0) and Q, Write down the coordinates of Q. (3)

[21]

Copyrighted NUT UAT A AA ANE Pease ermover

### Page 6

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Mathematics/P | 6 DBE/November 2018
CAPS — Grade 11

QUESTION 6

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The diagram below shows the graphs of f(x) = -(x - 3y +25 and g(x) = (5) -4.

Graph f cuts the x-axis at A and C, the y-axis at E and has a turning point at D.
Graph g cuts the x-axis at A and the y-axis at B.

y

\

6.1 Write down the equation of the asymptote of g. (1)
6.2 Write down the coordinates of D. (2)
6.3 Write down the range of f. (1)
6.4 Calculate the length of EB. (4)
6.5 Determine the values of x for which / is decreasing. (2)
6.6 Calculate the average gradient between points A and B. (5)
6.7 Graph ¢ is obtained by reflecting g about the x-axis. Write down the range of f. (2)
6.8 If p(x) = f(x) +2, write down the coordinates of the turning point of p. (2)
6.9 Determine the value of & for which the straight line y=2x+k will be a tangent

tof (4)

[23]

Conon esr AN) eM

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Mathematies/? 1 7 DBE/November 2018

CAPS — Grade 11

QUESTION 7

Bl

7.2

13

Calculate the effective interest rate per annum if an investment earns interest at a rate
of 11,5% p.a., compounded monthly.

Karabo bought a computer for R4 700. The value of the computer depreciated at a
rate of 18% p.a. Using the reducing-balance method, calculate the book value of the
computer 4 years after it was bought.

Nhlanhla made an initial deposit of R20 000 into an investment account that paid
interest at the rate of 7,2% p.a., compounded quarterly. After 2 years the interest rate
changed to 7,8% p.a., compounded monthly. Four years after his initial deposit,
Nhlanhla withdrew R2 500 from his investment.

731 Calculate how much Nhlanhla had in this investment account 2 years after
the initial deposit was made.

7.3.2 How much will the investment be worth 7 years after the initial deposit
was made?

QUESTION 8

A bag contains 6 red balls, 8 green balls and an unknown number of yellow balls. The
probability of randomly choosing a green ball from the bag is 25%.

8.1

8.2

Show that there are 32 balls in the bag.

A ball is drawn from the bag, the colour is recorded and it is not returned to the bag.
Thereafter another ball is drawn from the bag, the colour is recorded and it is also not
returned to the bag.

Draw a tree diagram to represent ALL the possible ways in which the two balls could
have been drawn from the bag. Show the probabilities associated with EACH branch,
as well as the outcomes.

Calculate the probability that the two balls drawn from the bag will have the same
colour.

Peasihebosere=t INIA A AA HY Piste over

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(4)
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(4)
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Mathematics/P 1]

QUESTION 9

8

CAPS —Grade 11

DBE/November 2018

9.1 On a flight, passengers could choose between a vegetarian snack and a chicken snack.
The snacks selected by the passengers were recorded. The results are shown in the

table below.

SNACK MALE | FEMALE | TOTAL
Vegetarian 12 20 32
Chicken 55 63 118
TOTAL 67 83 150

Was the choice of snack on this flight independent of gender? Motivate your answer

with the necessary calculations. (5)
9.2 For any two events, A and B, it is given that P(A and B) = 0,12, P(A or B) = 0,83
and P(B) = 4 P(A).
9.2.1 Are events A and B mutually exclusive? Justify your answer. (2)
9.2.2 Calculate P(B). (4)
9.2.3 Calculate P(not A). (2)
[13]

Comat NTA 0 0

TOTAL: 150

### Page 9

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2018 -11- 18 i
APPROVED MARKING CUIDEL

PUBLIC EXAniNATIOn
ety

12
CAPS/KABF — Grade/Graad 11 — Marking Guidelines/Vasi

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2018 -11- 13

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ES eave il MATHEMATICS

Mathematics/P L/Iistunde V1 DBE/November 2013
CAPS/KABI’— Grade/Graad 11 — Rigi GuidelinestNastenrighne NOVEMBER 2018: PAPER 1
ADDENDUM TO THE MARKING GUIDELINES

These notes have been created to provide options that learners may use and the appropriate mark

QUESTION/VRAAG 9
allocation for their answers.
j 91 P( V) x P(M} A
| | 32 «67 yo) BO 1.12] CA onxifincorrect formula. Only accept the following as incorrect formula: ]
i | 22x24 = 0,095 jut? al
ee vee = al ne
| 150 150 2 an (bre A parte , Le. negative sign omitted before 6 or wa GEM » Le, incorrect
hawt | P(Wand/en M)= 750028 A | sign che root.
|
| P(Vand/en M) # PC V) x P(M) ¥ PCV) xP(M)=0,095 -b+ Jo? + 400
| © SL mark for correct value of answer
at
| Hoeven Aa a8 + Penalty -1 for incorrect rounding
| The events are not independent/Die gebeurtenisse is nie onafhanklik 7 taster ole 1.1.3] IFNO factors shown, the factors marks can be awarded for the absolutely correct critical
i i HEN EV18 (s) | | values in the answer. If NO factors shown, no marks for incorrect answer.
| OR/OF __ cA * Final answer marks cannot be spilt into critical values and notation. It is a combinati
| - | PEO 2 mark for reading the correct interval —~——4
aoc ascrcr ee vo . lo Is wi
PCV) x P(E) PRIVATE BAG E85, PRETORIA dOOT 150 «xs - j x22. Accept as correct ; in the place of or: 4 marks | g ls |
33 83 orig 2018 -11- 18 83 1 a8 Bet
KAY] | 150% 150 7° —_— . 150 © xS-= and x22 + maximum 2 marks Inzi2 eo 3/8
{ 0 APPROVED MARKING GUIDE! YPC V)x P(E) =0,118 2 ooe — ais
NE =01 pate §
| - YPC and F)=0,133 | A tals ali
i | P(Vand F)# P( V) x P(F) (V and F) = 0, 1.1.4 ¢ Ifno factors are shown, then award 2 marks for the correct values of &. ie is an
v ionreeiolal | ¢ B/D ifeach term is squared independent! z Bld
The events are not independent/Die gebeurtenisse is nie onafhanklik | “ Conctuston/gey oe i | eee aid WS |G oR se | s 5 ae
“| ebead
| ‘= le om<4 or m>1 orm<4 m>1:award3 marks Bue
9.2.1 | P(Aand/enB)=0,12#0 vP(Aand B)eo A 3.1.2 | CA from 3.1.1 provided that Ty is linear.
Y conclusion/gevolgir, |/\ | 3:13 [+ CA from 3.1.1 provided that Ty is linear.
Events are not mutually exclusive’ Gebeurtenisse nie onderling (2) *  IfCA from 3.1.1 results inn not being an integral value and candidate goes on to reject
uitsluitend nie this value of n, then award 2 marks.
— ' — 3.1.4 | If first differences are incorrect, then CA applies.
9.2.2 | P(AorB)= P(A)+P(B)— P(A and B) ain | | 4.2 1 3
| ~ | eleesns2:
0,83 = P(A) + 4(A)—0,12 BAe = 4 pyar or / ¥ formula! formule A Answer only 7, gt tyat 2: 1 mark for final answer only
| 0,95 = 5P(A) , fee Y substitution/very, A 43 |* CA fom42
P(A) = 0,19 tm © Answer only n= 20: 1 mark for final answer only
ae P(A) ca 44 [e° CA from 42
P(B) = 4(0,19) = 0,76 —_—— v (8) e :
7a © If Trial and error used and arrive at T,, -Tiy = 35 : award $ marks
(4) [+ Answer onl
y 35: | mark for final answer only
9.23 tA)=1— =a
P(not A) =1-P(A) v P(nat A) =1-P(a) 5.2. ] + Simplification mark is awarded for any of the 2, 3" or 4 line in the memo.
=1-0,19 A ( yn tee @ ‘No penalty if answer not given iw‘cbordinate form
=0,81 Yanswer/andw. Or e Answer only (1 ; 0): award 3 marks
tis! ¢ Answer only x = 1: award 2 marks
13] 33
[FT sie only (0 : 3) z award 2 marks
| ai
TOTAL/TOTAAL: 150 5.4 |-Shape mark is awarded if 2 parts to hyperbola, a decreasing function and not touching
asymptotes
5.6°_| CA from 5.1 and 5.5 for critical values

/ I Phe

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