# Mathematics Grade 12 P1 NSC June 2017 Question Paper (Eng)

> Grade 12 Mathematics Paper 1 question paper from the NSC June Exam 2017 (English), 10 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/mathematics-p1-may-june-2017-eng/afbc0615-e385-4b70-b380-6fc4a646a05c
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 12
- Document type: Question paper
- Year: 2017
- Exam period: NSC June Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 10

Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 12](https://www.hlayiso.com/library/grade-12) › [Mathematics](https://www.hlayiso.com/library/grade-12/mathematics) › [Mathematics Grade 12 P1 NSC June 2017 Question Paper (Eng)](https://www.hlayiso.com/library/mathematics-p1-may-june-2017-eng/afbc0615-e385-4b70-b380-6fc4a646a05c)

## About this document

Mathematics · Grade 12 · NSC June Exam · 2017. Question paper, 10 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

Department:
Basic Education
REPUBLIC OF SOUTH AFRICA

SENIOR CERTIFICATE EXAMINATIONS

MATHEMATICS P1

2017

MARKS: 150

TIME: 3 hours

This question paper consists of 9 pages and 1 information sheet.

Copyright reserved Please turn over

### Page 2

Mathematics/P 1

DBE/2017

Downloaded from hlayiso.com

SCE

INSTRUCTIONS AND INFORMATION

Read the following instructions carefully before answering the questions.

L

2.

10.

Copyright reserved

This question paper consists of 11 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 et cetera 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.

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

An information sheet with formulae is included at the end of the question paper.

Write neatly and legibly.

Please turn over

### Page 3

Downloaded from hlayiso.com

Mathematics/P1 3 DBE/2017
SCE
QUESTION 1
1.1 Solve for x:
1.1.1 3x? +10x+6=0 (correct to TWO decimal places) (3)
112 Jox?-15=¥41 6)
1.1.3 x° +2x-2420 (3)
1.2 Solve simultaneously for x and y:
Sx+y=3 and 3x -2xy= y?-105 (6)
1.3 1.3.1 Solve for p if p°-48p-49=0 (3)
13.2 Hence, or otherwise, solve for x if 7° —48(7*)-49=0 (3)
[23]
QUESTION 2
2.1 Given the geometric sequence: 3; 2 ¢ hte
2.1.1 Write down the value of the common ratio. (1)
2.1.2 Calculate the value of k. (2)
. 128
2.1.3 Calculate the value of n if 7,=——. (4)
729
2.2 In a Mathematics competition, the total prize money for the finalists is R30 500.

Fach finalist will receive a part of the prize money according to his/her position at the
end of the competition. The table below shows the position of the finalists at the end
of the competition and the prize money received.

POSITION OF THE PRIZE MONEY
FINALIST AT THE END
OF THE COMPETITION
Last R100
Second from last R250
Third from last R400
Fourth from last R550
First Rx
2.2:1 Calculate the prize money of the finalist finishing 18" from last. (2)
22.2 Calculate x. (6)

[15]

Copyright reserved Please turn over

### Page 4

Downloaded from hlayiso.com

Mathematics/P 1 4 DBE/2017
SCE

QUESTION 3

Given the quadratic sequence: 0; 17; 32; ...

3.1 Determine an expression for the general term, T,,, of the quadratic sequence. (4)

3.2 Which terms in the quadratic sequence have a value of 56? (3)
10 15

3.3 Hence, or otherwise, calculate the value of 5°7,- S°7,. (4)
nas nail (11]

QUESTION 4

The sketch below shows the graph of / (x)= 43, The asymptotes of f intersect at A.
x—

The graph / intersects the x-axis and y-axis at C and B respectively.

y H

4.1 Write down the coordinates of A. qd)
4.2 Calculate the coordinates of B. Q)
43 Calculate the coordinates of C. (2)
4.4 Calculate the average gradient of f between B and C. (2)
4.5 Determine the equation of a line of symmetry of f which has a positive y-intercept. (2)

Copyright reserved Please turn over

### Page 5

Downloaded from hlayiso.com

Mathematics/P 1 DBE/2017
SCE

QUESTION 5
Given: S(x)=x? —5x—14 and g(x)= 2x-14
5.1 On the same set of axes, sketch the graphs of f and g. Clearly indicate all intercepts

with the axes and turning points. (6)
5.2: Determine the equation of the tangent to f at x =2 >. (2)
5.3 Determine the value(s) of & for which f(x)=k will have two unequal positive

real roots. (2)
5.4 A new graph /h is obtained by first reflecting g in the x-axis and then translating

it 7 units to the left. Write down the equation of in the form A(x)=mx+c. (2)

[12]

Copyright reserved Please turn over

### Page 6

Downloaded from hlayiso.com

Mathematics/P 1] 6 DBE/2017
SCE

QUESTION 6

In the sketch below, P is the y-intercept of the graph of tf (x)= b*. T is the x-intercept of
graph g, the inverse of f. R is the point of intersection of f and g. Straight lines are drawn
through O and R and through P and T.

z
6.1 Determine the equation of g (in terms of 6) in the form y=... Q)
6.2 Write down the equation of the line passing through O and R. (1)
63 Write down the coordinates of point P. (1)
6.4 Determine the equation of the line passing through P and T. (2)
6.5 Calculate the value of 5. (5)

{J

Copyright reserved Please turn over

### Page 7

Downloaded from hlayiso.com

Mathematics/P 1 DBE/2017
SCE

QUESTION 7

7.1 A company bought a new machine for R500 000. After 3 years, the machine has a

book value of R331 527. Calculate the yearly rate of depreciation if the machine was
depreciated according to the reducing-balance method.

7.2 Musa takes a personal loan from a bank to buy a motorcycle that costs R46 000.
The bank charges interest at 24% per annum, compounded monthly.

How many months will it take Musa to repay the loan, if the monthly instalment
is R1 900?

73 Neil set up an investment fund. Exactly 3 months later and every 3 months thereafter
he deposited R3 500 into the fund. The fund pays interest at 7.5% p.a., compounded
quarterly. He continued to make quarterly deposits into the fund for 6% years from
the time that he originally set up the fund.

Neil made no further deposits into the fund, but left the money in the same fund at the
same rate of interest. Calculate how much he will have in the fund 10 years after he

originally set it up.

QUESTION 8
8.1 Given f| (x) =3-2x*. Determine f (x), using first principles.
8.2 Determine ca if y= Tost #21 .
dx 6x
8.3 The function /(x)=x° +x? +cx-4 has a point of inflection at (2 ; 4). Calculate
the values of 6 and c.
QUESTION 9
Given: f(x) =x? —x? -x41
91 Write down the coordinates of the y-intercept of f.
92 Calculate the coordinates of the x-intercepts of f.
9.3 Calculate the coordinates of the turning points of 7.
9.4 Sketch the graph of # in your ANSWER BOOK. Clearly indicate all intercepts with

the axes and the turning points.

9.5 Write down the values of x for which f(x) <0.

Copyright reserved

Please turn over

(3)

(4)

(6)
(13]

(5)

(4)

(7)
[16]

### Page 8

Downloaded from hlayiso.com

Mathematics/P 1 8 DBE/2017
SCE

QUESTION 10

The figure above shows the design of a theatre stage which is in the shape of a semicircle

attached to a rectangle. The semicircle has a radius r and the rectangle has a breadth A.
The perimeter of the stage is 60 m.

10.1 Determine an expression for 5 in terms of r. (2)

10.2 For which value of r will the area of the stage be a maximum? (6)

[8]

Copyright reserved Please turn over

### Page 9

Downloaded from hlayiso.com

Mathematics/P 1 9 DBE/2017
SCE
QUESTION 11

11.1 The letters of the word EQUATION are randomly used to form a new word
consisting of five letters. How many of these words are possible if letters may not

be repeated? (2)
11.2 It is given that two events, A and B, are independent. P(a)== and P(B)= 0,35.

Calculate P(A or B). (4)
11.3 Grade 12 learners in a certain town may choose to attend any one of three high

schools. The table below shows the number of Grade 12 learners (as a percentage)
attending the different schools in 2016 and the matric pass rate in that school (as a
percentage) in 2016.

SCHOOLS NUMBER OF LEARNERS | MATRIC PASS RATE
ATTENDING (%) (%)
A 20 35
B 30 65
c 50 90

If a learner from this town, who was in Grade 12 in 2016, is selected at random,
determine the probability that the learner:

11.3.1 Did not attend School A (2)

11.32 Attended School B and failed Grade 12 in 2016 (3)

11.3.3 Passed Grade 12 in 2016 (4)
[15]

TOTAL: 150

Copyright reserved

### Page 10

Downloaded from hlayiso.com

Mathematics/P] DBE/2017
SCE
INFORMATION SHEET
ve bt Vb? ~4a0
2a
A=P(l+ni) A=P(l-ni) A=P(-i)" A=P(+i)"
T, =a+(n-Nd S, =F Ra+(n-nd]
T, = ar" 5 =’ -1) wre 8, ato y -1epe]
, r- l-r

poallti' -1 pawl)"

I i

P= lim LE+D- FO)
h>0 h

i a + ae
d= (x, -x)Y +04 ~My uA a)

y=mxte Y-y, =mx-x,) m=22- 91 m=tan@
Hy = Xj
(x-a) +(y-ay =r?
a 4 e
In AABC; *_ =? _ = _
sinA sinB sinc
@ =b’ +c? ~2becosA
area AABC = sab, sinC
sin(a+f) = sina.cosf + cosa.sinB sin(o— B) = sinc. cosB —coso.sinB
cota +£B)= cosa.cos# —sina.sinB cosa -£) =cosa@.cos# +sina.sinB
cos’ a@-sin? a
cos2a@ =41—2sin’@ sin2a = 2sina.cosa
2cos’ a@-1
yx dX, -3?
y== of? =
n n
n(A)
P(A) = A) P(A or B) = P(A) + P(B) - P(A and B)
D@-¥)

Copyright reserved

## Related documents

- [MATHS P1 GR12 QP SEPT2017 Afrikaans](https://www.hlayiso.com/library/maths-p1-gr12-qp-sept2017-afrikaans/b7b5f8fb-f791-4893-b24f-2cabdd8f677e) — Mathematics · QP · 2017 · Afr
- [Mathematics P1 May June 2019 Eng](https://www.hlayiso.com/library/mathematics-p1-may-june-2019-eng/a645dde5-42e0-4a8d-85e6-9027775ee0b4) — Mathematics · QP · 2019 · Eng
- [Mathematics P1 May June 2016 Afr](https://www.hlayiso.com/library/mathematics-p1-may-june-2016-afr/3a87d204-17dd-4b6b-bcf2-7f6302fb5865) — Mathematics · QP · 2016 · Afr
- [GR12 MATH P2 Sept2017 QP Eng](https://www.hlayiso.com/library/gr12-math-p2-sept2017-qp-eng/b7c030ad-af9d-4cec-a04c-454a0768212c) — Mathematics · QP · 2017 · Eng
- [Mathematics P2 Feb March 2017 Eng](https://www.hlayiso.com/library/mathematics-p2-feb-march-2017-eng/4ce40115-66dd-4187-91b0-71af5132e430) — Mathematics · QP · 2017 · Eng
- [2017 GRADE 12 MATH TRIAL EXAM PAPER 2 WC WINELANDS](https://www.hlayiso.com/library/2017-grade-12-math-trial-exam-paper-2-wc-winelands/9f217c02-7e3a-4e81-a1d6-bd548d30d853) — Mathematics · QP · 2017

## More from Grade 12 Mathematics

- [MATHS P1 ANSWER BOOK GR12 SEPT 2025 English Afrikaans watermark](https://www.hlayiso.com/library/maths-p1-answer-book-gr12-sept-2025-english-afrikaans-watermark/d78c3fd3-dcd5-4f3f-911b-e5635b4686cc) — Addendum · 2025 · Afr
- [MATHS P2 MEMO GR12 SEPT 2025 E+A watermark](https://www.hlayiso.com/library/maths-p2-memo-gr12-sept-2025-e-a-watermark/838d50ea-fdac-4e70-8d62-e365a012252f) — Memo · 2025
- [Maths Grade 12 NSC P2 MEMO September 2025 Eng Northern Cape](https://www.hlayiso.com/library/maths-grade-12-nsc-p2-memo-september-2025-eng-northern-cape/f00a552e-132c-4871-bf72-c887cfc67272) — Memo · 2025 · Eng
- [MATHS P2 ANSWER BOOK GR12 JUNE 2024 Afr+English](https://www.hlayiso.com/library/maths-p2-answer-book-gr12-june-2024-afr-english/4a71e975-4ac4-4f55-8e23-0b8155a5b0c6) — Addendum · 2024 · Eng
- [MATHS P2 MEMO GR12 JUNE 2024 Afr+English](https://www.hlayiso.com/library/maths-p2-memo-gr12-june-2024-afr-english/4a5f997e-e38d-4abb-b726-8b72e6672832) — Memo · 2024 · Eng
- [MATHS P1 GR 12 MEMO SEPT 2024 English+Afrikaans](https://www.hlayiso.com/library/maths-p1-gr-12-memo-sept-2024-english-afrikaans/f0eedb8f-ec6f-4f46-9885-3933cd274781) — Memo · 2024 · Afr

## Collection

- [Grade 12 past papers](https://www.hlayiso.com/grade-12/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.