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• Mathematics Grade 12 CAPS Study Guide 2025 •

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This document is a "Complete Grade 12 Mathematics Guide" specifically designed as a study guide for the CAPS curriculum. It aims to empower learners by providing precision and purpose in their studies. The guide is comprehensive, featuring: • Five full past exam papers from 2023 (Paper 1 & Paper 2). • Complete memos with step-by-step solutions for every question. These solutions are structured to help users understand the reasoning behind answers and identify areas for improvement. • Topic-specific summaries to reinforce core concepts and exam strategies. • Exposure to real exam conditions to improve confidence. • An overview of Grade 12 Mathematics, including its definition, specific aims, essential skills, and the ten main content areas covered in the Further Education and Training (FET) Phase: Functions, Number Patterns, Finance/Growth/Decay, Algebra, Differential Calculus, Probability, Euclidean Geometry, Analytical Geometry, Trigonometry, and Statistics. • Detailed mark allocations for both Paper 1 and Paper 2, indicating the weighting of different content areas for Grade 12 examinations. Paper 1 covers topics like Algebra, Patterns, Finance, Functions, Differential Calculus, and Probability, totaling 150 marks. Paper 2 focuses on Statistics, Analytical Geometry, Trigonometry, and Euclidean Geometry/Measurement, also totaling 150 marks. • It is compiled and curated by Mr. S.L. Cina, with messages encouraging learners to focus, believe in their growth, and build discipline and thinking skills. The foreword by the Minister of Basic Education highlights the curriculum's role in transforming education in South Africa based on constitutional values

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Voorbeeld van de inhoud

MATHEMATICS GRADE 12
STUDY GUIDE

5 full past exam papers from 2023 (Paper 1 &
Paper 2)
Complete memos with step-by-step
solutions for every question
Topic-specific summaries to reinforce core
concepts and exam strategies
Improves confidence through real exam
exposure
Designed for CAPS curriculum
Perfect for exam preparation and timed
practice sessions
Great for self-study, tutoring sessions, or
classroom reinforcement




COMPILED BY S.L. CINA

,MATHEMATICS GRADES 10-12




department of Basic education


222 Struben Street
Private Bag X895
Pretoria 0001
South Africa
Tel: +27 12 357 3000
Fax: +27 12 323 0601



120 Plein Street Private Bag X9023
Cape Town 8000 South Africa Tel:
+27 21 465 1701 Fax: +27 21 461
8110 Website:
http://www.education.gov.za




© 2011 department of Basic education



isBn: 978-1-4315-0573-9


Design and Layout by: Ndabase Printing Solution
Printed by: Government Printing Works



CURRICULUM AND ASSESSMENT POLICY STATEMENT (CAPS)

, AGRICULTURAL MANAGEMENT PRACTICES GRADES 10-12
MATHEMATICS
FOREWORD by thE ministER

Our national curriculum is the culmination of our efforts over a period of seventeen
years to transform the curriculum bequeathed to us by apartheid. From the start of
democracy we have built our curriculum on the values that inspired our Constitution
(Act 108 of 1996). the Preamble to the Constitution states that the aims of the
Constitution are to:

• heal the divisions of the past and establish a society based on democratic
values, social justice and fundamental human rights;

• improve the quality of life of all citizens and free the potential of each person;

• lay the foundations for a democratic and open society in which government is
based on the will of the people and every citizen is equally protected by law;
and

• build a united and democratic South Africa able to take its rightful place as a sovereign state in the family of
nations.

Education and the curriculum have an important role to play in realising these aims.

in 1997 we introduced outcomes-based education to overcome the curricular divisions of the past, but the experience
of implementation prompted a review in 2000. This led to the first curriculum revision: the Revised National Curriculum
Statement Grades R-9 and the National Curriculum Statement Grades 10-12 (2002).

Ongoing implementation challenges resulted in another review in 2009 and we revised the Revised National
Curriculum Statement (2002) to produce this document.

From 2012 the two 2002 curricula, for Grades R-9 and Grades 10-12 respectively, are combined in a single document
and will simply be known as the National Curriculum Statement Grades R-12. the National Curriculum Statement for
Grades R-12 builds on the previous curriculum but also updates it and aims to provide clearer specification of what
is to be taught and learnt on a term-by-term basis.

the National Curriculum Statement Grades R-12 accordingly replaces the subject statements, Learning Programme
Guidelines and subject Assessment Guidelines with the

(a) Curriculum and Assessment Policy statements (CAPs) for all approved subjects listed in this document;

(b) National policy pertaining to the programme and promotion requirements of the National Curriculum Statement
Grades R-12; and

(c) National Protocol for Assessment Grades R-12.




MRS ANGIE MOTSHEKGA, MP
MINISTER OF BASIC EDUCATION



CAPS

, Table of Contents

Compiled and Curated by Mr. S.L. Cina

"Empowering Learners Through Precision and Purpose"



Mathematics Paper 1 — Past Exam Questions

• June Mathematics Paper 1 (2023) — Page 9

• November Mathematics Paper 1 (2023) — Page 18

• November Mathematics Paper 1 (2022) — Page 28

• June Mathematics Paper 1 (2021) — Page 38

• November Mathematics Paper 1 (2021) — Page 41

• November Mathematics Paper 1 (2020) — Page 59



Paper 1 Memorandum Section

• Memorandum Overview & Usage Guide — Page 60

• June Mathematics Paper 1 Memo (2023) — Page 71

• November Mathematics Paper 1 Memo (2023) — Page 86

• June Mathematics Paper 1 Memo (2022) — Page 103

• November Mathematics Paper 1 Memo (2022) — Page 119

• June Mathematics Paper 1 Memo (2021) — Page 140

• November Mathematics Paper 1 Memo (2021) — Page 153

• November Mathematics Paper 1 Memo (2020) — Page 169

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