# Mathematics Grade 12 P1 Western Cape Mock 2025 QP (Eng)

> Grade 12 Mathematics Paper 1 question paper from the Western Cape Mock Exam 2025 (English), 13 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/maths-grade-12-nsc-p1-qp-september-2025-eng-western-cape/bc0b3bb7-f8d5-4a90-bcec-2765ce797a51
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 12
- Language: English
- Document type: Question paper
- Year: 2025
- Exam period: Western Cape Mock Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 13

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## About this document

Mathematics · Grade 12 · Western Cape Mock Exam · 2025 · English. Question paper, 13 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

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### Page 2

34,| Western Cape
/} Government

PLC

TRIAL EXAMINATION

SEPTEMBER 2025

MATHEMATICS PAPER 1

GRADE 12

TOTAL: 150

DURATION: 3 hours

This question paper consists of 11 pages and a formula page

SA EXAM PAPERS

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### Page 7

This Paper was downloaded from SAEXAMPAPERS

QUESTION 6

6.1
6.2

6.3

6.4

The graph of p(x) = 2* + q passes through the points A(0; 3) and B(2; 6).

»

¥y

Calculate the value of q.

The graph of p is translated 2 units down to obtain k(x). Determine the equation of k7+(x)
in the form y =........ >
For which values of x is:

6.3.1 k(x) <0
63.2 p(x+3).k+4(«-5)>0

If p is reflected about the horizontal asymptote and translated 3 units to the left to form
h(x), determine the equation of h(x).

SA EXAM PAPERS
Proudly South African

(2)
(3)
2)
(2)

(2)
(11]

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### Page 9

This Paper was downloaded from SAEXAMPAPERS

8.3. The graph of f(x) = ax? + bx? — 2 has a local maximum at (—1;—1)

yt
f >
(—1;-1) 0 x
f
8.3.1 Show that a = 2 and b = 3. (4)
8.3.2 For which values of x will the graph be concave up? (3)
8.3.3. For which values of x will x. f’(x) > 0? (2)

SA EXAM PAPERS
Proudly South African

### Page 10

This Paper was downloaded from SAEXAMPAPERS

8.4 A tangent at A(3; —10) to a curve y = —x? — 1, intersects the x-axis at B. AT is
perpendicular to the x —axis with T on the x —axis.

\ y
B T
[e) x
A(3;—10)
Determine the length of AB. (6)
[28]
QUESTION 9
A ball is thrown vertically upwards. The height of the ball in meters, after t seconds is given by the
equation h(t) = 9t — 2t?.
9.1 Determine the height of the ball after 2 seconds. qd)
9.2 Determine the speed of the ball after 2 seconds. (3)
9.3 After how many seconds will the ball reach the ground again? (2)
[6]

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### Page 11

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### Page 12

10.3 When creating an online profile with Titus Holdings, a unique login code is generated.
The code is to be alphanumeric (include digits and letters) and to be 5 characters
long. The first two characters are letters and the remaining characters are digits.

10.3.1 If letters may be repeated, but the digits may not, determine how many

unique login codes can be created.

(2)

10.3.2 A security alert is that the codes are not safe enough and implements new

restrictions on the codes. If Titus Holdings project they will have 1600

people create profiles, determine if they will have enough unique codes

considering they need to meet the updated restrictions below:

@ No repetition allowed (letters and digits)

e All codes to begin with the letter “T”

e All digits to be € {0; 2; 3; 5; 6; 8; 9} G)

e The 3-digit numeric portion to be divisible by 5.

[14]
TOTAL 150

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