HISTORY
PAPER 2
GRADE 12
NSC EXAMS PAST PAPERS AND MEMOS JUNE 2019
QUESTION 1: HOW DID THE DIFFERENT YOUTH ORGANISATIONS AND LEADERS INFLUENCE THE SOUTH AFRICAN YOUTH IN THE 1970s?
SOURCE 1A
This extract focuses on the roots of Black Consciousness.
The term Black Consciousness stems from American educator Du Bois’s evaluation of the double consciousness of American blacks being taught what they feel inside to be lies about the weakness and cowardice of their race. Du Bois insisted that black people take pride in their blackness as an important step in their personal liberation. [From Footprints in the Sands of Time by the Department of Education] |
SOURCE 1B
The extract below outlines how the South African Student’s Organisation (SASO) mobilised the black South African youth against the apartheid regime in the 1970s.
On one of the programmes that left the BCM's most enduring legacy, Ramphele wrote: ‘The programme for leadership development involved several levels of training and was undertaken as a joint venture by the SASO and BPC ... Weekend “formation schools” were held to train university students in various skills. In addition, an extensive training programme for youth leadership was undertaken to address the needs of high-school and township-based youth clubs in all the provinces of South Africa.’ [From The Road to Democracy in South Africa by M Mzamane et al] |
SOURCE 1C
The following source highlights the impact that the South African Students’ Movement (SASM) had on the youth of Soweto in 1976.
Sibongile Mkhabela, a leader of the South African Students’ Movement (SASM) at Naledi High, recalls that ‘there was serious mobilisation in the schools and this was done mainly through the SASM. SASM members were saying that this situation could not be allowed to continue. That was the build-up to the meeting on 13 June’. [From Soweto, A History by P Bonner and L Segal] |
SOURCE 1D
The following poster was created to pay tribute to Biko after his death in 1977.
[From Steve Biko by M. Westcott]
QUESTION 2: HOW SUCCESSFUL WAS THE TRUTH AND RECONCILIATION COMMISSION (TRC) IN DEALING WITH SOUTH AFRICA’S DIVIDED PAST?
SOURCE 2A
This extract explains the reasons for the establishment of the TRC.
After winning the 1994 elections, the ANC had a huge task of building a truly non racial and democratic South Africa, without forgetting its past. As Mandela stated, ‘There was no evil which has been so condemned (rejected) by the world as apartheid and therefore had to a find a way to forgive the perpetrators of the system of apartheid without forgetting the crimes against humanity’. The ANC’s solution to ‘forgiving without forgetting’ was the establishment of the Truth and Reconciliation Commission (TRC) in 1996. The objectives of the TRC were to establish a complete picture as possible of the causes, nature and extent of the gross violation of human rights. It also had to facilitate the granting of amnesty to persons who made full disclosure of all the relevant facts related to acts of violence. The TRC was also charged with making known the fate of victims and restoring their human and civil dignity of such victims, by granting them the opportunity to tell their stories, by recommending reparation [From South Africa’s Transition to Democracy by S. Shaw] |
SOURCE 2B
This is a report of an interview that was conducted with Eugene de Kock after his first appearance before the TRC in September 1997.
De Kock had been an ‘implicated witness’ in the TRC hearing of five white former security policemen in Port Elizabeth who were applying for amnesty for the bombing … The ‘Motherwell Bombing’ was ordered by the commander of the police, General Nic van Rensburg, who had approached De Kock and asked him to ‘make a plan’ in silencing the Motherwell policemen. [From A Human Being Died That Night by P Gobodo-Madikizela] |
SOURCE 2C
This cartoon by Zapiro depicts Eugene de Kock, Craig Williamson and Johan Coetzee as ‘THE 3 TERRORS’ who were involved in the killing of many anti-apartheid activists.
[From Truth and Reconciliation in South Africa: 10 Years On by Charles Villa-Vicencio et al]
SOURCE 2D
This extract by former President Thabo Mbeki focuses on the importance of telling the truth at the TRC hearings.
The great crevices (gaps) in our society which represented the absence of a national consensus about matters that are fundamental to the creation of the new society are also represented by the controversy which seems to have arisen around the work of the Truth and Reconciliation Commission. [From The Life And Times Of Thabo Mbeki by A Hadland and J Rantao] |
ACKNOWLEDGEMENTS
Visual sources and other historical evidence were taken from the following:
Bonner P and Segal L. Soweto, A History
Department of Education, Footprints in the Sands of Time
Gobodo-Madikizela, P. A Human Being Died That Night
Hadland A. and Rantao J, The Life and Times of Thabo Mbeki
Mzamane M. et al, The Road to Democracy in South Africa
Shaw S, South Africa’s Transition to Democracy
Villa-Vicencio et al Truth and Reconciliation in South Africa: 10 Years On
Westcott M, Steve Biko
HISTORY
PAPER 2
GRADE 12
NSC EXAMS PAST PAPERS AND MEMOS JUNE 2019
INSTRUCTIONS AND INFORMATION
SECTION A: SOURCE-BASED QUESTIONS
Answer ONE question from this section. Source material to be used to answer these questions is contained in the ADDENDUM.
QUESTION 1: HOW DID THE DIFFERENT YOUTH ORGANISATIONS AND LEADERS INFLUENCE THE SOUTH AFRICAN YOUTH IN THE 1970s?
Use Sources 1A, 1B, 1C and 1D to answer the following questions.
1.1 Read to Source 1A.
1.1.1 Define the concept ‘Black Consciousness’ in your own words. (1 x 2) (2)
1.1.2 According to the DuBois, what was the most important step in Black people’s personal liberation? (1 x 2) (2)
1.1.3 What, according to the source, was the aims of the global movement of black thinkers? (2 x 1) (2)
1.1.4 Why, do you think, colonialists (conservative white South Africans) would have reacted negatively to the philosophy of Black Consciousness? (2 x 2) (4)
1.1.5 Comment on whether this source would be useful to a historian studying the roots of the Black Consciousness Movement in the 1970s. (2 x 2) (4)
1.2 Refer to Source 1B.
1.2.1 Identify TWO organisations that provided youth programmes for leadership development. (2 x 1) (2)
1.2.2 Using the information in the source and your own knowledge, explain why, the ‘formation schools’ were established in all four provinces. (2 x 2) (4)
1.2.3 Explain in what ways ‘formation schools’ influenced Black South African students to resist oppression. (2 x 2) (4)
1.3 Consult Source 1C.
1.3.1 How, according to Sibongile Mkhabela, did the SASM influence the students of Soweto? (1 x 2) (2)
1.3.2 According to the source, what role did the following leaders play in mobilising the students of Soweto?
1.3.3 Using the source and your own knowledge, explain why the members of the SASM were against the use of Afrikaans as a medium of instruction in black South African schools. (2 x 2) (4)
1.4 Compare Sources 1B and 1C. Explain how the information in Source 1B supports the evidence in Source 1C regarding the impact that SASO had on the students of Soweto. (2 x 2) (4)
1.5. Refer to Source 1D.
1.5.1 Explain the message that is conveyed by the poster. (1 x 2) (2)
1.5.2 Explain what Biko meant with the following phrase, ‘ONE AZANIA ONE NATION.’ (1 x 2) (2)
1.6 Using the information in the relevant sources and your own knowledge, write a paragraph of about EIGHT lines (about 80 words) explaining how the different youth organisations and leaders influence the youth in the 1970s. (8) [50]
QUESTION 2: HOW SUCCESSFUL WAS THE TRUTH AND RECONCILIATION (TRC) COMMISSION IN DEALING WITH SOUTH AFRICA’S DIVIDED PAST?
Study Sources 2A, 2B, 2C and 2D to answer the following questions. 2.1 Refer to Source 2A.
2.1.1 Define the following concepts in your own words:
2.1.2 What, according to the source, were the objectives of the TRC? (3 x 1) (3)
2.1.3 Why do you think the ANC decided on a policy of ‘forgive and forget’ after 1994? (2 x 2) (4)
2.1.4 Use your own knowledge to explain whether you consider the TRC to be victim-friendly or perpetrator-friendly. (1 x 2) (2)
2.2 Read Source 2B.
2.2.1 Who, according to the source, was described as the ‘implicated witness’? (1 x 2) (2)
2.2.2 How, according to the information in the source, did De Kock get involved in the 'Motherwell Bombing'? (3 x 1) (3)
2.2.3 Use the information in the source and your own knowledge to explain whether De Kock showed any remorse at the TRC hearings. (2 x 2) (4)
2.2.4 What conclusions can you draw from the attitudes of the two widows after they met with De Kock? Use evidence from the source to support your answer. (1 x 2) (2)
2.3 Consult Source 2C.
2.3.1 Explain the messages the cartoonist wishes to convey in this cartoon. (1 x 2) (2)
2.3.2 Why do you think the cartoonist depicts the Union Buildings in this cartoon? (1 x 2) (2)
2.4 Compare Sources 2B and 2C. Explain the similarities between these two sources regarding De Kock’s testimony at the TRC. (2 x 2) (4)
2.5 Study Source 2D.
2.5.1 How, according to the source, would the hatred and hostility of the past go away? (1 x 2) (2)
2.5.2 Use your own knowledge to explain why the work of the TRC was regarded as controversial. (2 x 2) (4)
2.5.3 Comment on the usefulness of this source to a historian studying the objectives of the TRC. (2 x 2) (4)
2.6 Using the information in the relevant sources and your own knowledge, write a paragraph of about EIGHT lines (about 80 words) explaining how successful the Truth and Reconciliation Commission (TRC) was in dealing with South Africa’s divided past. (8) [50]
SECTION B: ESSAY TYPE QUESTIONS
Answer ONE question from this section.
QUESTION 3: CIVIL RESISTANCE, 1970s TO 1980s: SOUTH AFRICA: THE CRISIS OF APARTHEID IN THE 1980s
‘Boycotts, sanctions and disinvestment are the most important factors that led to the collapse of apartheid.’
Do you agree with this statement? Use relevant examples of various forms of international resistance to apartheid to support your line of argument. [50]
QUESTION 4: THE COMING OF DEMOCRACY TO SOUTH AFRICA AND COMING TO TERMS WITH THE PAST: NEGOTIATED SETTLEMENT AND THE GNU
Critically discuss how South Africa emerged as a democracy from the crisis of the 1990s. Use relevant evidence to support your line of argument. [50]
QUESTION 5: THE COLLAPSE OF COMMUNISM AND THE NEW WORLD ORDER: THE EVENTS OF 1989
The disintegration of the Soviet Union in 1989 served as a catalyst for South Africa to begin its political transformation in the 1990s. To what extent do you agree with this statement? Substantiate your line of argument with relevant evidence. [50]
TOTAL: 100
HISTORY
PAPER 1
GRADE 12
NSC EXAMS PAST PAPERS AND MEMOS JUNE 2019
INSTRUCTIONS AND INFORMATION
SECTION A: SOURCE-BASED QUESTIONS
Answer ONE question from this section. Source material that is required to answer these questions can be found in the ADDENDUM.
QUESTION 1: HOW DID THE CUBAN MISSILE CRISIS LEAD TO COLD WAR TENSIONS BETWEEN THE USA AND USSR IN THE 1960s?
Study Sources 1A, 1B, 1C and 1D to answer the questions that follow. 1.1 Study Source 1A.
1.1.1 Which country, according to the source, was under attack? (1 x 1) (1)
1.1.2 What evidence in the source suggests that America was behind the invasion? (2 x 1) (2)
1.1.3 Using the source and your own knowledge, explain why Khrushchev was determined to help Cuba. (2 x 2) (4)
1.1.4 Who were the ‘armed bands’ that Khrushchev referred to? (1 x 1) (1) 1.2 Refer to Source 1B.
1.2.1 Find a historical concept from the source that best fits each of the following definitions:
1.2.2 Provide TWO quotes from the source that suggest that the USA was not responsible for the Bay of Pigs invasion. (2 x 1) (2)
1.2.3 With reference to Sources 1A and 1B, explain why the viewpoints of Khrushchev and Kennedy differ with regards to the Bay of Pigs Invasion. (2 x 2) (4)
1.2.4 Compare Sources 1A and 1B. How do the two sources contradict each other with regards to the reasons for the Bay of Pigs Invasion? (2 x 2) (4)
1.2.5 Use your own knowledge to explain whether the Bay of Pigs Invasion was successful. (1 x 1) (1)
1.3 Read Source 1C.
1.3.1 List any TWO counties that had American nuclear weapons capable of destroying Russia. (2 x 1) (2)
1.3.2 Quote ONE reason as to why Russia decided to place nuclear missiles in Cuba. (1 x 1) (1)
1.3.3 In your opinion, why did Kennedy not invade Cuba immediately to destroy the missiles? (2 x 2) (4)
1.4 Consult Source 1D.
1.4.1 Explain why this source is biased against Khrushchev. Use visual clues from the source to support your answer. (2 x 2) (4)
1.4.2 Using the source and your own knowledge, explain how the Cuban Missile Crisis was resolved. (2 x 2) (4)
1.4.3 Use your own knowledge to explain the impact of the Cuban Missile Crisis on the political career of Khrushchev. (2 x 2) (4)
1.5 Using the information in the relevant sources and your own knowledge, write a paragraph of about EIGHT lines (80 words) explaining how the Cuban Missile Crisis led to tensions between the USA and the USSR in the 1960s. (8) [50]
QUESTION 2: WHY DID CUBA BECOME INVOLVED IN THE ANGOLAN CIVIL WAR?
Study Sources 2A, 2B, 2C and 2D and answer the following questions.
2.1 Study Source 2A.
2.1.1 List TWO reasons Deutschman proposes for Cuba’s involvement in the Angolan Civil War. (2 x 1) (2)
2.1.2 Provide TWO quotes from paragraph 1 that proves that Cuba did not get involved in Angola for material interests. (2 x 1) (2)
2.1.3 Explain what Risquet meant when he said, ‘Proof of that is that when our presence is no longer needed, we will withdraw’. (2 x 2) (4)
2.1.4 Was Deutschman correct to believe that Cuba was acting as a puppet of the Soviet Union? Support your answer with TWO comprehensive points from paragraph 3. (2 x 2) (4)
2.2 Refer to Source 2B.
2.2.1 Provide TWO quotes from paragraph 1 which suggest that Cuba and Angola have a common heritage. (2 x 1) (2)
2.2.2 Find a historical concept in paragraph 3 that best fits each of the following definitions:
2.2.3 Comment on Castro’s statement that, ‘Yankee imperialism, without scruples (conscience) of any kind, has launched South African mercenary troops in an attempt to crush Angola’s independence and is now outraged by our help to Angola …’. (2 x 2) (4)
2.3 Read Source 2C.
2.3.1 What, according to the source posed a bigger threat to South Africa, other than the emergence of an independent black African nation? (Paragraph 1) (1 x 2) (2)
2.3.2 Use the source and your own knowledge to explain why SA became involved in the Angolan Civil War. (2 x 2) (4)
2.3.3 List any TWO reasons why South Africa believed that Cuba should not control Southern Africa. (Paragraph 3) (2 x 1) (2)
2.4 Study Sources 2B and 2C. Explain why these two sources present such different viewpoints with regards to Cuba’s involvement in Angola. Use evidence from both sources to support your answer. (2 x 2) (4)
2.5 Consult Source 2D.
2.5.1 What messages do the picture convey about the relationship between Cuba and Angola? Support your answer with reference to the visual clues in the source. (2 x 2) (4)
2.5.2 Comment on the usefulness of this source for a historian researching the involvement of Cuba in the Angolan Civil War. (2 x 2) (4)
2.6 Using the information in the relevant sources and your own knowledge, write a paragraph of about EIGHT lines (about 80 words) explaining the reasons for Cuba’s involvement in the Angolan Civil War. (8) [50]
QUESTION 3: WHAT WERE THE REASONS FOR THE FORMATION OF THE BLACK POWER MOVEMENT IN THE USA IN THE 1960s?
Study Sources 3A, 3B, 3C and 3D and answer the following questions.
3.1 Study Source 3A.
3.1.1 Provide FOUR words from the source that suggest that Black people were ill-treated by police in California. (Paragraph 1) (4 x 1) (4)
3.1.2 List any TWO reasons why the Black Panther Party felt that the American government was racist towards people of colour. (Paragraph 2) (2 x 1) (2)
3.1.3 Explain why you think the Black Panther Party was correct to advocate a policy of self-defence against white supremacy. (Paragraph 3) (2 x 2) (4)
3.1.4 Comment on the statement that, ‘The black communities of America must rise up as one man to halt the progression of a trend that leads inevitably to their total destruction.’ (1 x 2) (2)
3.2 Refer to Source 3B.
3.2.1 Why, according to the source, were the police watching the members of the Black Power Movement? (Paragraph 1) (1 x 1) (1)
3.2.2 What evidence in the source suggests that the Black Power Movement received massive support from the Black community? (Paragraph 1) (2 x 1) (2)
3.2.3 What do you think Malcolm X meant when he said, ‘We were dealing with power to all the people not just black power’? (1 x 2) (2)
3.2.4 Do you think that the Black Power Movement was established for self-defence only? Support your answer with TWO comprehensive points from paragraph 3. (2 x 2) (4)
3.3 Read Source 1C.
3.3.1 What, according to Malcolm X, was the basis for the success of both the American and French Revolutions? (Paragraph 1) (1 x 1) (1)
3.3.2 Find a historical concept that best fits each of the following definitions:
3.3.3 Use the information in the source and your own knowledge to explain Malcolm X’s stance on violence. (2 x 2) (4)
3.4 Compare Source 3A to Source 3C. How does the information in Source 3A support the evidence in Source 3C with regards to the Black Power Movement’s reasons for self-defence? (2 x 2) (4)
3.5 Consult Source 3D.
3.5.1 What can you learn about the relationship between Fidel Castro and Malcolm X? (2 x 2) (4)
3.5.2 Explain the usefulness of this source for historians studying the reasons for the American dislike of the Black Power Movement. (2 x 2) (4)
3.6 Using the information in the relevant sources and your own knowledge, write a paragraph of about EIGHT lines (about 80 words) explaining the reasons for the formation of the Black Power Movement in the USA in the 1960s. (8) [50]
TOTAL SECTION A: 50
SECTION B: ESSAY QUESTIONS
Answer ONE question from this section.
Your essay should be about THREE pages long.
QUESTION 4: CASE STUDY – CHINA
Mao Zedong’s policies of the Great Leap Forward and the Cultural Revolution was an attempt to strengthen communism and to transform China into a communist superpower.
Explain to what extent Mao was successful in achieving this goal between 1958 and 1976. [50]
QUESTION 5: INDEPENDENCE IN AFRICA IN THE 1960s AND 1970s – CONGO AND TANZANIA
With reference to the social, economic and political policies implemented by Julius Nyerere and Mobuto Sese Seko after independence, critically assess whether they were successful in their aims of economic independence and self-reliance. [50]
QUESTION 6: CIVIL SOCIETY PROTESTS FROM THE 1950s TO THE 1970s – CIVIL RIGHTS MOVEMENT
‘The protest actions of the Civil Rights Movement led to the termination of the most obvious forms of racial discrimination in the USA in the 1960s.’
Do you agree with the statement? Substantiate your answer with relevant historical evidence. [50]
TOTAL SECTION B: 50
GRAND TOTAL: 100
HISTORY
PAPER 2
GRADE 12
NSC EXAMS PAST PAPERS AND MEMOS JUNE 2019
1. SOURCE-BASED QUESTIONS
1.1 The following cognitive levels were used to develop source-based questions:
COGNITIVE LEVELS | HISTORICAL SKILLS | WEIGHTING OF QUESTIONS |
LEVEL 1 |
| 30% (15) |
LEVEL 2 |
| 40% (20) |
LEVEL 3 |
| 30% (15) |
1.2 The information below indicates how source-based questions are assessed:
|
1.3 Assessment procedures for source-based questions
Paragraph question
Paragraphs are to be assessed globally (holistically). Both the content and structure of the paragraph must be taken into account when awarding a mark. The following steps must be used when assessing a response to a paragraph question:
Used mostly relevant evidence to write a basic paragraph
2. ESSAY QUESTIONS
2.1 The essay questions require candidates to:
2.2 Marking of essay questions
2.3 Global assessment of the essay
The essay will be assessed holistically (globally). This approach requires the teacher to score the overall product as a whole, without scoring the component parts separately. This approach encourages the learner to offer an individual opinion by using selected factual evidence to support an argument. The learner will not be required to simply regurgitate 'facts' in order to achieve a high mark. This approach discourages learners from preparing ‘model’ answers and reproducing them without taking into account the specific requirements of the question. Holistic marking of the essay credits learners’ opinions supported by evidence. Holistic assessment, unlike content-based marking, does not penalise language inadequacies as the emphasis is on the following:
2.4 Assessment procedures of the essay
2.4.1 Keep the synopsis in mind when assessing the essay.
2.4.2 During the reading of the essay ticks need to be awarded for a relevant introduction (indicated by a bullet in the marking guideline/memorandum), each of the main points/aspects that is properly contextualised (also indicated by bullets in the marking guideline/memorandum) and a relevant conclusion (indicated by a bullet in the marking guideline) e.g. in an answer where there are 5 main points there will be 7 ticks.
2.4.3 Keep the PEEL structure in mind when assessing an essay.
P | Point: The candidate introduces the essay by taking a line of argument/making a major point. |
E | Explanation: The candidate should explain in more detail what the main point is all about and how it relates to the question posed (line of argument). |
E | Example: The candidates should answer the question by selecting content that is relevant to the line of argument. Relevant examples should be given to sustain the line of argument. |
L | Link: Candidates should ensure that the line of argument is sustained throughout the essay and is written coherently. |
2.4.4 The following symbols MUST be used when assessing an essay:
2.5 The matrix
2.5.1 Use of the matrix in the marking of essays.
In the marking of essays, the criteria as provided in the matrix should be used. When assessing the essay note both the content and presentation. At the point of intersection of the content and presentation based on the seven competency levels, a mark should be awarded.
(a) The first reading of essays will be to determine to what extent the main aspects have been covered and to allocate the content level (on the matrix).
C | LEVEL 4 | |
(b) The second reading of essays will relate to the level (on the matrix) of presentation.
C | LEVEL 4 | |
P | LEVEL 3 |
(c) Allocate an overall mark with the use of the matrix.
C | LEVEL 4 | }26–27 |
P | LEVEL 3 |
MARKING MATRIC FOR ESSAY – TOTAL: 50
PRESENTATION
CONTENT | LEVEL 7
| LEVEL 6
| LEVEL 5
| LEVEL 4
| LEVEL 3
| LEVEL 2
| LEVEL 1*
|
LEVEL 7
| 47–50 | 43–46 | |||||
LEVEL 6
| 43–46 | 40–42 | 38–39 | ||||
LEVEL 5
| 38–39 | 36–37 | 34–35 | 30–33 | 28–29 | ||
LEVEL 4
| 30–33 | 28–29 | 26–27 | ||||
LEVEL 3
| 26–27 | 24–25 | 20–23 | ||||
LEVEL 2
| 20–23 | 18–19 | 14–17 | ||||
LEVEL 1*
| 14–17 | 0–13 |
*Guidelines for allocating a mark for Level 1:
SECTION A: SOURCE-BASED QUESTIONS
QUESTION 1: HOW DID THE DIFFERENT YOUTH ORGNISATIONS AND LEADERS INFLUENCE THE SOUTH AFRICAN YOUTH IN THE 1970s?
1.1 1.1.1 [Explanation of historical concept from Source 1A – L1]
1.1.2 [Extraction of evidence from Source 1A – L1]
1.1.3 [Extraction of evidence from Source 1A – L1]
1.1.4 [Interpretation of evidence from Source 1A – L2]
1.1.5 [Ascertain the usefulness of Source 1A – L3]
The source is useful because:
1.2 1.2.1 [Extraction of evidence from Source 1B – L1]
1.2.2 [Interpretation of evidence from Source 1B – L2]
1.2.3 [Interpretation of evidence from Source 1B – L2]
1.3 1.3.1 [Extraction of evidence from Source 1C – L1]
1.3.2 Extraction of evidence from Source 1C – L1]
1.3.3 [Interpretation of evidence from Source 1C – L2]
1.4 [Comparison of sources and ascertaining similarities between Sources 1B and 1C–L3]
1.5 1.5.1 [Interpretation of evidence from Source 1D – L2]
Movement
1.5.2 [Interpretation of evidence from Source 1D – L2]
1.6 [Interpretation, evaluation and synthesis of evidence from relevant sources – L3]
Candidates could include the following aspects in their responses:
Use the following rubric to allocate marks:
LEVEL 1 |
| MARKS 0–2 |
LEVEL 2 |
| MARKS 3–5 |
LEVEL 3 |
| MARKS 6–8 |
(8) [50]
QUESTION 2: HOW SUCCESSFUL WAS THE TRUTH AND RECONCILIATION COMMISSION (TRC) IN DEALING WITH SOUTH AFRICA’S DIVIDED PAST?
2.1 2.1.1 [Explanation of historical concepts from Source 2A – L1]
(a) Apartheid
(b) Amnesty
2.1.2 [Extraction of information from Source 2A – L1]
2.1.3 [Interpretation of evidence from Source 2A – L2]
2.1.4 [Interpretation of evidence from Source 2A – L2]
OR
2.2 2.2.1 [Extraction of evidence from Source 2B – L1]
2.2.2 [Extraction of evidence from Source 2B – L1]
2.2.3 [Interpretation of evidence of from Source 2B – L2]
2.2.4 [Interpretation of evidence from Source 2B – L2]
2.3 2.3.1 [Interpretation of evidence from Source 2C – L2]
2.3.2 [Interpretation of evidence from Source 2C – L2]
2.4 [Comparison of Source 2B and Source 2C – L3]
2.5 2.5.1 [Extraction of evidence from Source 1D – L1]
2.5.2 [Interpretation of evidence from Source 2D – L2]
2.5.3 [Evaluating the usefulness of Source 2D – L3]
The source is useful because:
2.6 [Interpretation, evaluation and synthesis of evidence from relevant sources – L3]
Candidates could include the following aspects in their response:
Use the following rubric to allocate marks:
LEVEL 1 |
| MARKS 0–2 |
LEVEL 2 |
| MARKS 3–5 |
LEVEL 3 |
| MARKS 6–8 |
(8) [50]
SECTION B: ESSAY QUESTIONS
QUESTION 3: CIVIL RESISTANCE, 1970s TO 1980s: SOUTH AFRICA: THE CRISIS OF APARTHEID IN THE 1980s
[Plan and construct an original argument based on relevant evidence using analytical and interpretative skills]
SYNOPSIS
Candidates should explain to what extent the international anti-apartheid movement played a major role in ensuring the eventual downfall of the apartheid regime in the 1980s. Candidates need to use relevant examples that the international civil resistance movement used against the apartheid regime.
MAIN ASPECTS
Candidates should include the following aspects in their response:
ELABORATION
QUESTION 4: THE COMING OF DEMOCRACY TO SOUTH AFRICA AND COMING TO TERMS WITH THE PAST
[Plan and construct an original argument based on relevant evidence using analytical and interpretative skills.]
SYNOPSIS
Candidates need to critically discuss how South Africa emerged as a democracy from the crisis of the 1990s. Relevant examples to South Africa’s road to democracy must be discussed.
MAIN ASPECTS
Candidates should include the following aspects in their essays:
ELABORATION
Focus on different role players in the following key historical events and turning points:
QUESTION 5: THE END OF THE COLD WAR AND A NEW WORLD ORDER: THE EVENTS OF 1989
[Plan and construct an original argument based on relevant evidence using analytical and interpretative skills]
SYNOPSIS
Candidates need to state whether they agree or disagree with the statement. They need to indicate whether the disintegration of the Soviet Union in 1989 served as a catalyst for South Africa to begin its political transformation in the 1990s. Candidates must support their given line of argument with relevant historical evidence.
MAIN ASPECTS
Candidates should include the following aspects in their response:
ELABORATION
In agreeing with the assertion, candidates could include the following points in their answer.
TOTAL: 100
HISTORY
PAPER 1
GRADE 12
NSC EXAMS PAST PAPERS AND MEMOS JUNE 2019
1. SOURCE-BASED QUESTIONS
1.1 The following cognitive levels were used to develop source-based questions:
COGNITIVE LEVELS | HISTORICAL SKILLS | WEIGHTING OF QUESTIONS |
LEVEL 1 |
| 30% (15) |
LEVEL 2 |
| 40% (20) |
LEVEL 3 |
| 30% (15) |
1.2 The information below indicates how source-based questions are assessed:
|
1.3 Assessment procedures for source-based questions
Paragraph question
Paragraphs are to be assessed globally (holistically). Both the content and structure of the paragraph must be taken into account when awarding a mark. The following steps must be used when assessing a response to a paragraph question:
Used mostly relevant evidence to write a basic paragraph
2. ESSAY QUESTIONS
2.1 The essay questions require candidates to:
2.2 Marking of essay questions
2.3 Global assessment of the essay
The essay will be assessed holistically (globally). This approach requires the teacher to score the overall product as a whole, without scoring the component parts separately. This approach encourages the learner to offer an individual opinion by using selected factual evidence to support an argument. The learner will not be required to simply regurgitate 'facts' in order to achieve a high mark. This approach discourages learners from preparing ‘model’ answers and reproducing them without taking into account the specific requirements of the question. Holistic marking of the essay credits learners’ opinions supported by evidence. Holistic assessment, unlike content-based marking, does not penalise language inadequacies as the emphasis is on the following:
2.4 Assessment procedures of the essay
2.4.1 Keep the synopsis in mind when assessing the essay.
2.4.2 During the reading of the essay ticks need to be awarded for a relevant introduction (indicated by a bullet in the marking guideline/memorandum), each of the main points/aspects that is properly contextualised (also indicated by bullets in the marking guideline/memorandum) and a relevant conclusion (indicated by a bullet in the marking guideline) e.g. in an answer where there are 5 main points there will be 7 ticks.
2.4.3 Keep the PEEL structure in mind when assessing an essay.
P | Point: The candidate introduces the essay by taking a line of argument/making a major point. |
E | Explanation: The candidate should explain in more detail what the main point is all about and how it relates to the question posed (line of argument). |
E | Example: The candidates should answer the question by selecting content that is relevant to the line of argument. Relevant examples should be given to sustain the line of argument. |
L | Link: Candidates should ensure that the line of argument is sustained throughout the essay and is written coherently. |
2.4.4 The following symbols MUST be used when assessing an essay:
2.5 The matrix
2.5.1 Use of the matrix in the marking of essays.
In the marking of essays, the criteria as provided in the matrix should be used. When assessing the essay note both the content and presentation. At the point of intersection of the content and presentation based on the seven competency levels, a mark should be awarded.
(a) The first reading of essays will be to determine to what extent the main aspects have been covered and to allocate the content level (on the matrix).
C | LEVEL 4 | |
(b) The second reading of essays will relate to the level (on the matrix) of presentation.
C | LEVEL 4 | |
P | LEVEL 3 |
(c) Allocate an overall mark with the use of the matrix.
C | LEVEL 4 | }26–27 |
P | LEVEL 3 |
MARKING MATRIC FOR ESSAY – TOTAL: 50
PRESENTATION
CONTENT | LEVEL 7
| LEVEL 6
| LEVEL 5
| LEVEL 4
| LEVEL 3
| LEVEL 2
| LEVEL 1*
|
LEVEL 7
| 47–50 | 43–46 | |||||
LEVEL 6
| 43–46 | 40–42 | 38–39 | ||||
LEVEL 5
| 38–39 | 36–37 | 34–35 | 30–33 | 28–29 | ||
LEVEL 4
| 30–33 | 28–29 | 26–27 | ||||
LEVEL 3
| 26–27 | 24–25 | 20–23 | ||||
LEVEL 2
| 20–23 | 18–19 | 14–17 | ||||
LEVEL 1*
| 14–17 | 0–13 |
*Guidelines for allocating a mark for Level 1:
SECTION A: SOURCE-BASED QUESTIONS
QUESTION 1: HOW DID THE CUBAN MISSILE CRISIS LEAD TO COLD WAR TENSIONS BETWEEN THE USA AND USSR IN THE 1960s?
1.1 1.1.1 [Extraction of evidence from Source 1A – L1]
1.1.2 [Extraction of evidence from Source 1A – L1]
1.1.3 [Interpretation of evidence from Source 1A – L2]
1.1.4 [Own knowledge of topic – L1]
1.2 1.2.1 [Definition of historical concepts from Source 1B – L1]
1.2.2 [Extraction of evidence from Source 1B – L1]
1.2.3 [Interpretation and analysis of evidence from Source 1B – L2] ∙ Kennedy supports capitalism and Khrushchev supports communism
1.2.4 [Comparison of sources to identify differences – L3]
1.2.5 [Own knowledge – L1]
1.3 1.3.1 [Extraction of evidence from Source 1C – L1]
1.3.2 [Extraction of evidence from Source 1C – L1]
1.3.3 [Interpretation and analysis of evidence from Source 1C – L2]
1.4 1.4.1 [Determining bias of information from Source 1D – L3]
1.4.2 [Interpretation and analysis of evidence from Source 1D – L2]
1.4.3 [Interpretation and analysis of evidence from Source 1D – L2]
1.5 [Interpretation, evaluation and synthesis of evidence from relevant sources – L3]
LEVEL | CRITERIA | MARKS |
LEVEL 1 |
| 0–2 |
LEVEL 2 |
| 3–5 |
LEVEL 3 |
| 6–8 |
(8) [50]
QUESTION 2: WHY DID CUBA BECOME INVOLVED IN THE ANGOLAN CIVIL WAR?
2.1 2.1.1 [Extraction of evidence from Source 2A – L1]
2.1.2 [Extraction of evidence from Source 2A – L1]
2.1.3 [Interpretation of evidence from Source 2A – L2]
2.1.4 [Interpretation and analysis of evidence from Source 2A – L2]
No
2.2 2.2.1 [Extraction of evidence from Source B– L1]
2.2.2 [Definitions of historical concepts from Source 2B – L1]
2.2.3 [Interpretation and analysis of evidence from Source 2B – L2]
2.3 2.3.1 [Extraction of evidence from Source 2C – L1]
2.3.2 Interpretation and analysis of evidence from Source 2C – L2]
2.3.3 [Extraction of evidence from Source 2C – L1]
2.4 [Comparison of evidence in Source 2B and Source 2C – L3]
2.5 2.5.1 [Interpretation and analysis of evidence from Source 2D – L2]
2.5.2 [Ascertain the usefulness of the evidence in the Source 2D – L3]
2.6 [Interpretation, evaluation and synthesis of evidence from relevant sources – L3]
CRITERIA | MARKS | |
LEVEL 1 |
| 0–2 |
LEVEL 2 |
| 3–5 |
LEVEL 3 |
| 6–8 |
(8) [50]
QUESTION 3: WHAT WERE THE REASONS FOR THE FORMATION OF THE BLACK POWER MOVEMENT IN THE USA IN THE 1960s?
3.1 3.1.1 [Extraction of evidence from Source 3A – L1]
3.1.2 [Extraction of evidence from Source 3A – L1]
3.1.3. [Interpretation of evidence from Source 3A – L2]
3.1.4 [Interpretation and analysis of evidence from Source 3A – L2]
3.2 3.2.1 [Extraction of evidence from Source 3B – L1]
3.2.2 [Extraction of evidence from Source 3B – L1]
3.2.3 [Interpretation of evidence from Source 3B – L2]
3.2.4 [Interpretation and analysis of evidence from Source 3B – L2]
3.3 3.3.1 [Extraction of evidence from Source 3C – L1]
3.3.2 [Definitions of historical concepts from Source 2B – L1]
3.3.3 [Interpretation and analysis of evidence from Source 3C – L2]
3.4 [Comparison of evidence in Source 2B and Source 2C – L3]
3.5 3.5.1 [Interpretation and analysis of evidence from Source 3C – L2]
3.5.2 [Ascertain the usefulness of the evidence in Source 2D – L3]
Useful
3.6 [Interpretation, evaluation and synthesis of evidence from relevant sources]
LEVEL | CRITERIA | MARKS |
LEVEL 1 |
| 0–2 |
LEVEL 2 |
| 3–5 |
LEVEL 3 |
| 6–8 |
(8) [50]
SECTION B: ESSAY QUESTIONS
QUESTION 4: CASE STUDY – CHINA
[Plan and construct an original argument based on relevant evidence using analytical and interpretative skills.]
SYNOPSIS
Candidates need to ascertain to what extent Mao Zedong’s policies of the Great Leap Forward Movement (1958–1961) and the Cultural Revolution (1966–1976) were successful in strengthening communism and transforming China into a superpower.
MAIN ASPECTS
Candidates should include the following aspects in their essays:
Introduction: Candidates should critically discuss Mao Zedong’s reasons for implementing the Great Leap Forward in relation to his aim of transforming China into a powerful communist state.
ELABORATION
Conclusion: Tie up argument with a relevant conclusion. [50]
QUESTION 5: INDEPENDENCE IN AFRICA IN THE 1960’s AND 1970’s: COMPARATIVE STUDY ON THE CONGO AND TANZANIA
[Plan and construct an original argument based on relevant evidence using analytical and interpretative skills.]
SYNOPSIS
Candidates are expected to evaluate whether Mobutu Sese Seko (Congo) and Julius Nyerere (Tanzania) were successful in their aims of attaining economic independence and self-reliance by comparing their social, economic and political developments.
MAIN ASPECTS
Candidates should include the following aspects in their response:
ELABORATION
Political transformation of the Congo and Tanzania
Similarities:
Differences:
Economic transformation of the Congo and Tanzania
Similarities:
Differences:
SOCIAL AND CULTURAL
Education and language
Education in Tanzania
Education in the Congo
Africanisation
CLOTHING
ART
Conclusion: Candidates should tie up their argument with a relevant conclusion. [50]
QUESTION 6: CIVIL SOCIETY PROTESTS FROM THE 1950s TO THE 1970s: CIVIL RIGHTS MOVEMENT
[Plan and construct an original argument based on relevant evidence using analytical and interpretative skills.]
SYNOPSIS
Candidates should either agree or disagree with the statement and explain why. The emphasis should be on the successes of the different protest actions in relation to the given statement.
MAIN ASPECTS
Candidates should include the following aspects in their response: ∙ Introduction: Candidates must indicate if they agree or disagree with the statement
ELABORATION
Conclusion: Candidates should tie up their argument by mentioning the success of the Civil Rights Movement in effecting changes in the United States of America. [50]
TOTAL: 100
TECHNICAL MATHEMATICS
PAPER 2
GRADE 12
NSC EXAMS PAST PAPERS AND MEMOS JUNE 2019
INSTRUCTIONS AND INFORMATION
Read the following instructions carefully before answering the questions.
QUESTION 1
The diagram below is a parallelogram with vertices A(−2; 2); B(−4; − 1); C(2; 0) and D(x;y) α is the angle which AB forms with the x-axis. M(0; 1) is the midpoint of AC.
Determine:
1.1 The length of AB (2)
1.2 The gradient of AB (2)
1.3 The equation of line DC in the form y = mx + c (3)
1.4 The size of α (rounded off to TWO decimal places) (2)
1.5 The y-coordinate of D (2) [11]
QUESTION 2
2.1 In the figure below, O is the centre of the circle. P and Q(12; 5) are two points on the circumference of the circle. POQ is a straight line. The point R lies on the tangent to the circle at Q.
Determine the equation of:
2.1.1 The circle (2)
2.1.2 The tangent RQ in the form y = mx + c (4)
2.2 The equation of an ellipse, with centre at the origin is given by 9x2 + 16y2 = 144
2.2.1 Write down this ellipse equation in standard form (2)
2.2.2 Determine the length of the major axes and the minor axes respectively (2)
2.2.3 Draw on the grid provided, a neat sketch graph of the ellipse. Show ALL intercepts with axes and clearly indicate the major and minor axes (3) [13]
QUESTION 3
3.1 Use a calculator to determine the value of (rounded to 3 decimal places):
cosec2100º
-sec80º
3.2 Simplify to a single trigonometric function:
3.2.1 (7) (4)
3.3 Prove the identity: (4) [17]
2 = 2cot2θ
secθsec(360º - θ) - tan45º
QUESTION 4
4.1 If 6 sin θ + 4 = 1 and cos θ > 0, draw a diagram on a Cartesian plane, showing the position of θ and evaluate without using a calculator:
4.1.1 tan θ (4)
4.1.2 sin θ + sec θ (3)
4.2 Solve for θ ∈ [0º; 360º], without using a calculator, if: 2sinθ − cosθ = 0 (5) [12]
QUESTION 5
In the diagram below, A, B and L are points on the same horizontal plane.
5.1 Determine the size of BHL. (1)
5.2 Calculate the length of LB. (2)
5.3 Hence or otherwise, determine the length of AB. (3)
5.4 Calculate the area of ∆ALB. (3) [9]
QUESTION 6
Given (x) = 2 cos x and g(x) = sin(x − 30°) for x ∈ [0°; 360°]
6.1 Draw the graphs of f and g on the same set of axes. Clearly show the intercepts with the axes as well as the turning points of the graphs. (6)
6.2 Write down the amplitude of f. (1)
6.3 Determine the period of g(x). (1)
6.4 What value(s) of x is g(x) ≤ 0? (4) [12]
Give reasons for ALL your statements in QUESTIONS 7, 8 AND 9. QUESTION 7
7.1 Complete the following theorems by writing down the missing word(s) in each case:
7.1.1 A line drawn from the centre of a circle to the midpoint of a chord, is … to the chord. (1)
7.1.2 Angles opposite equal sides in an isosceles triangle are … (1)
7.1.3 Opposite angles of a cyclic quadrilateral are … (1)
7.2 In the given diagram, O is the centre of the circle. Points A, C, B and E are on the circle. Diameter COE and chord AB intersect at right angles at D.
AD = DB = 15 cm and CD = 6 cm.
7.2.1 Calculate the length of DO. (4)
7.2.2 Calculate the size of AOB. (3)
7.3 The figure below models the wheel of a sport car with O the central point through which the axle of the car passes. The wheel touches the straight tared surface at point D only.
BC = DC and CDS = 40°
7.3.1 What geometric name is given to RS? Explain your answer. (2)
7.3.2 Determine the size of CDB. (3)
7.3.3 Calculate the size of B2. (3)
7.3.4 Determine the size of Â. (3) [21]
QUESTION 8
8.1 In the figure below, ΔPQR has TM|| QR, PQ = 28 mm and PM : MR = 4 : 3
Determine the length of TQ. (4)
8.2 Below is the geometric model of a portion of a roof truss. In the model, ∆ABC has D and E on BC. BD = 6 cm and DC = 9 cm. AT : TC = 2 : 1 and AD // TE.
8.2.1 Write down the numerical value of CE/ED .(2)
8.2.2 Show that D is the midpoint of BE. (4)
8.2.3 If FD = 2 cm, calculate the length of TE. (4)
8.2.4 Calculate the numerical value of (3) [17]
Area of ∆ADC
Area of ∆ABD
QUESTION 9
9.1 In the figure below, a circle with centre O and OR ⊥ PT is given. Radius OB = 5 cm and PR = 4 cm.
Calculate the heights of the segments of the circle. (5)
9.2 A mechanical technician needs to replace a cross belt on a lath machine as shown in the picture below. The two pulleys have radii of 35 and 85 respectively. The length of the driving belt A to F and C to D, which are points of contacts is 130 cm.
9.2.1 Calculate the length of the major arc DF, to the nearest integer. (4)
9.2.2 If the length of the major arc AC is 165 cm, determine the total length of the driving belt to be replaced. (2)
9.3 A pulley rotates at 420 r/min.
Calculate:
9.3.1 The angular velocity of the pulley in radians per second (4)
9.3.2 The circumferential velocity of the pulley in metres per second, if the diameter of the pulley is 240 mm (5) [20]
QUESTION 10
10.1 Consider the following cylinder and cone. Both objects have the same radius, r cm and height, h cm.
10.1.1 Express the slant height, l of the cone in terms of r and h. (1)
10.1.2 What is the relationship between the volumes of the objects? (1)
10.1.3 If the curved surface area of the cylinder and the cone are the same, πrl = 2πrℎ, show that r2 = 3ℎ2. (2)
10.1.4 Hence, express the volume of the cone in terms of h only. (2)
10.1.5 If the two volumes differ by 54π:
10.2 The map below represents a part of Southern Africa. Ordinates are drawn on the map such that the distance between the ordinates is 110 km. ALL measurements are in kilometres.
y1 | y2 | y3 | y4 | y5 | y6 | y7 | y8 | y9 | y10 | y11 |
430 | 793 | 1167 | 1475 | 1409 | 1431 | 1365 | 1205 | 870 | 529 | 347 |
Determine:
10.2.1 The area of the region represented by the map, using the mid-ordinate rule (3)
10.2.2 The area of the shaded region (3) [18]
TOTAL: 150
INFORMATION SHEET: TECHNICAL MATHEMATICS
TECHNICAL MATHEMATICS
PAPER 1
GRADE 12
NSC EXAMS PAST PAPERS AND MEMOS JUNE 2019
INSTRUCTIONS AND INFORMATION
Read the following instructions carefully before answering the questions.
QUESTION 1
1.1 Solve for x:
1.1.1 2(7x -1)(x + 2) = 0 (2)
1.1.2 (x - 2)(3x - 1) = 1 (correct to TWO decimal places)(4)
1.1.3 -x2 - 4x + 5≥ 0 (3)
1.2 The picture below shows packaged metal sheets by a metal sheet manufacturing company.
Each pack contains 300 metal sheets and has a thickness of 151 mm.
Determine the thickness (in metres) of one metal sheet in Scientific Notation. (3)
1.3 Given: 2y + 6x = 4 and y2 - 25x2 = 4
1.3.1 Factorise y2 - 25x2 (1)
1.3.2 Hence or otherwise, solve for x and y simultaneously (6)
1.4 Given: M = √ 5 - p ; p∈ {1;2;3;4;5;6}
2
Determine the:
1.4.1 Value(s) of p for which M will be real (2)
1.4.2 Value(s) of p for which M will be non-real (1)
1.5 Describe the nature of the roots of ax2 + bx + c = 0 if a < 0 , b > 0 and c = 0. (2)
1.6 Write 86 as a binary number. (2) [26]
QUESTION 2
2.1 Simplify the following without using a calculator:
2.1.1 3n.34, to a single base term (1)
2.1.2 7.3 n + 2 (2)
3n+4 - 6.3n + 1
2.1.3 √32 - √72 + √18 (2)
2.1.4 -log3243 + log31 (2)
2.2 Solve for x:
2.2.1 (6)
2.2.2 (4)
2.3 Solve for x and y if x + 2yi = (-2 + 6i)(4 - 7i) .(4)
2.4 Write z = √5 - 3i in the form r cisθ (5) [26]
QUESTION 3
Given:
3.1 Write down the equations of the asymptotes of h. (2)
3.2 Determine the y-intercept of g. (1)
3.3 Sketch the graphs of g and h on the same set of axes on the ANSWER SHEET provided. Clearly show the asymptotes and the intercepts with the axis. (3)
3.4 Write down the domain of h. (1)
3.5 Determine the value(s) of x for which g(x) > h(x). (2) [9]
QUESTION 4
In the diagram drawn below, is a semi-circle defined by and a tangent to a semi-circle at point P(-3; -3)
Determine the:
4.1 Equation of the semi-circle, h (2)
4.2 Equation of the tangent to the semi-circle at P in the form y = … (4)
4.3 Range of h (2) [8]
QUESTION 5
The graph of the function f defined by f(x) = ax2 + bx - 12 intersects the x-axis at x = -2 and x = 6 .
5.1 Show by means of calculations that a = 1 and b = -4 (4)
5.2 Determine the coordinates of the turning point of f. (3)
5.3 Sketch the graph of f on the ANSWER SHEET provided. Clearly show ALL the intercepts with the axis and the turning points of the graph. (4) [11]
QUESTION 6
6.1 Determine the nominal interest rate compounded quarterly if the effective interest rate is 8% per annum. (3)
6.2 In an experiment conducted by learners in a science class, as shown in the picture below, a 90 mm piece of chalk is immersed in a cup containing vinegar to test the effects of an acid on a piece of chalk. The chalk dissolves at a rate of 5% per minute, compound decrease.
Determine, how long (in minutes) it will take for the chalk to dissolve to half its original length. (5)
6.3 R300 000 is invested at 12% per annum, compound interest for 3 years. After 3 years a deposit of R65 000 is made at 9% per annum compounded quarterly for the remaining 4 years. Calculate how much will be in the account at the end of 7 years. (6) [14]
QUESTION 7
7.1 Determine the derivative of f(x) = 5x - 12 by using FIRST PRINCIPLES. (5)
7.2 Determine: @ 4
7.3
7.3.1 Determine the gradient of a tangent to the graph defined by:
h(x) = 3x2 - 7x + 2 at x = 0,5 (3)
7.3.2 Determine the average gradient of h(x) = 3x2 - 7x + 2 between x = 1 and x = 3 (4) [20]
QUESTION 8
The graph of the function g defined by g(x) = x3 - x is drawn below.
Determine the:
8.1 Coordinates of points A and B (4)
8.2 Coordinates of K and M, the turning points of g (5)
8.3 Value(s) of x for which g'(x) 0 ≤ (3) [12]
QUESTION 9
An oil manufacturing company manufactures cylindrically shaped plastic containers. Each container must hold 275 mℓ of oil.
9.1 Write h, the height of the container in terms of r. (3)
9.2 Show that SA = 550 + 2πr2 is the surface area of the container.(3)
r
9.3 Determine r, the radius of the container for which a minimum amount of plastic will be used. (5) [11]
QUESTION 10
10.1 Determine the integral:
10.2 The graph of f defined by f(x) = - x3 + 6x2 is drawn below.
Determine:
10.2.1 (3)
10.2.2 The area of the shaded region of the graph of f bounded by the graph and the x-axis, between x = 1 and x = 4. (5) [13]
TOTAL: 150
Name: ………………………….………….
School: …………………………………….
QUESTION 3.3
QUESTION 5.3
INFORMATION SHEET: TECHNICAL MATHEMATICS
TECHNICAL MATHEMATICS
PAPER 1
GRADE 12
NSC EXAMS
PAST PAPERS AND MEMOS JUNE 2019
Marking Codes | |
A | Accuracy |
CA | Consistent accuracy |
M | Method |
R | Rounding |
NPR | No penalty for rounding |
NPU | No penalty for units omitted |
S | Simplification |
SF | Substitution in the correct formula |
NOTE:
QUESTION 1 | ||||
1.1 | 1.1.1 | (7x - 1)(x + 2) = 0 | ✓ x = 1/7 A | (2) |
1.1.2 | (x - 2)(3x - 1) = 1 3x2 - 7x + 1 = 0 ![]() x = 2,18 or x = 0,15 | ✓Simplification/Standard Form A | (4) | |
1.1.3 | -x2 - 4x + 5 ≥ 0 | ✓Factors/ Substitution in the quadratic formula M A | (3) |
1.2 | Total thickness of the pack = 151 ÷ 1 000 = 0,151 m | ✓Conversion A | (3) | |
1.3 | 1.3.1 | (y - 5x)(y + 5x) | ✓Factors A | (1) |
1.3.2 | 2y + 6x = a and y2 - 25x2 = 4 y = -3x + 2 substitute y into y2 - 25x2 = 4 (-3x + 2)2 - 25x2 - 4 = 0 9x2 - 12x + 4 - 25x2 - 4 = 0 -16x2 - 12x = 0 -x(16x + 12) = 0 x = 0 or 16x = -12 x = 0 or x = 12/16 = 3/4 if x = 0 then y = 2 if x = 3/4 then ![]() = 17/4 | ✓y - the subject A | (6) |
1.3.2 | OR | ✓y - the subject A | ||
1.4 | 1.4.1 | p ∈{1;2;3;4;5} | ✓✓All 5 correct values A | (2) |
1.4.2 | p = 6 | ✓6 A | (1) | |
1.5 | Real, rational and unequal | ✓Real and unequal A | (2) | |
1.6 | 86 = 26 + 24 + 22 + 21![]() - 1 mark of base 2 is not written | ✓Method M | (2) | |
[26] |
QUESTION 2 | ||||
2.1 | 2.1.1 | 3n.34 = 3n+4 | ✓3n+4 A | (1) |
2.1.2 | ![]() | ✓Factors S ✓Simplification S CA | (2) | |
2.1.3 | √32 - √72 + √18 | ✓Simplification S | (2) | |
2.1.4 | -log3243 + log31 | ✓0 A | (2) | |
2.2 | 2.2.1 | ![]() 42x2 - 3 - x = 4º 2x2 - x - 3 = 0 (2x - 3)(x + 1) = 0 x = 3/2 or x = −1 | ✓Power rule A | (6) |
2.2.2 | x = log 6 - log 2 or x = log 6 - log 2 | ✓Log law | (4) | |
2.3 | x + 2yi = (-2 + 6i)(4 - 7i) | ✓Expansion S | (4) | |
2.4 |
| ✓Finding r SF | (5) | |
[26] |
QUESTION 3 | |||
3.1 | x = 0 and y = 0 | ✓x = 0 A | (2) |
3.2 | y =1 | ✓ y = 1 A | (1) |
3.3 | ✓Shape g A | (3) | |
3.4 | x ≠ ∈ 0,x R | ✓ x ≠ 0,x R ∈ CA | (1) |
3.5 | x < of x > −1 or / 0 | ✓x<−1 CA | (2) |
[9] |
QUESTION 4 | ||||
4.1 | ✓Value of SF | (2) | ||
4.2 | m = -3 = 1 | ✓m of the line through origin and P A | (4) | |
4.3 | ✓✓Accurate answer A | (2) | ||
[8] |
QUESTION 5 | |||
5.1 | f(x) = ax2 + bx - 12 OR f(-2) = a(-2)2 + b(-2) - 12 = 0 | ✓Substitution SF | (4) |
5.2 | f(x) = x2 - 4x - 12 | ✓Method M | (3) |
OR | |||
OR |
5.3 | ✓x-intercepts A | (4) | |
[11] |
QUESTION 6 | |||
6.1 | ✓Formula A | (3) | |
6.2 | A = P(1 -i)n | ✓Formula A | (5) |
6.3 | A = P(1 -i)n | ✓Formula A | (6) |
OR | ✓Formula A | ||
[14] |
QUESTION 7 | ||||
NOTE : Deduct 1 mark for incorrect notation from 7.1 to 7.2.2 LET WEL: Trek 1 punt af vir inkorrekte notasie van 7.1 tot 7.2.2 | ||||
7.1 | ✓Formula A | (5) | ||
7.2 | 7.2.1 |
| ✓ 2x−2 A | (4) |
7.2.2 | ✓x A | (4) |
7.3 | 7.3.1 | h(x) = 3x2 - 7x + 2 h'(x) = 6x - 7 h'(0,5) = 6(0,5) - 7 mtangent = -4 | ✓6x - 7 A | (3) |
7.3.2 | h(x) = 3x2 - 7x + 2 | ✓−2 A | (4) | |
[20] | ||||
QUESTION 8 | ||||
8.1 | g(x) = x3 - x | ✓Substitution by 0 SF | (4) | |
8.2 | ✓Derivative A | (5) | ||
8.3 | −0,58 ≤ x ≤ 0,58 | ✓−0,58 CA | (3) | |
[12] |
QUESTION 9 | |||
9.1 | V = πr2h | ✓Formula A | (3) |
9.2 | SA = 2πrh + 2πr2 SA = 2πr × 275 + 2πr2 πr2 SA = 550 + 2πr2 r | ✓Formula A | (3) |
9.3 | ✓ 550r-1 A | (5) | |
[11] |
QUESTION 10 | ||||
10.1 | ✓Simplification A | (5) | ||
10.2 | 10.2.1 | ✓ - x4 A | (3) | |
10.2.2 | ✓A definite integral formula A | (5) | ||
[13] | ||||
TOTAL: | 150 |
TECHNICAL MATHEMATICS
PAPER 2
GRADE 12
NSC EXAMS
PAST PAPERS AND MEMOS JUNE 2019
NOTE:
MARKING CODES | |
M | Method |
MA | Method with accuracy |
A | Accuracy |
CA | Consistent accuracy |
S | Simplification |
SF | Substitution into the correct formula |
R | Rounding penalty |
RE | Reason |
ST | Statement |
SR | Statement and correct reason |
QUESTION 1 | |||
1.1 | ✔ SF/A | (2) | |
1.2 | mAB = 2-(-1) | ✔ SF/A | (2) |
1.3 | mCD = mAB = 3/2 AB ? CD | ✔ ST | (3) |
1.4 | ![]() | ✔M | (2) |
1.5 | 1 = yD - 1 2 yD - 1 = 2 yD = 3 | ✔M | (2) |
[11] |
QUESTION 2 | |||
2.1.1 | x2 + y2 = r2 | ✔SF/A | (2) |
2.1.2 | mPQ = 5 | ✔A gradient PQ | (4) |
2.2.1 | 9x2 + 16y2 = 144 | ✔A LHS/LK ✔A RHS/RK = 1 | (2) |
2.2.2 | Major axis = 8 Minor axis = 6 | ✔CA | (2) |
2.2.3 | ✔CA both x-intercepts/ | (3) | |
[13] |
QUESTION 3 | |||
3.1 | cosec100 ° | ✔✔A R | (2) |
3.2.1 | ✔A (-tan θ) | (7) | |
3.2.2 | ✔A cos x | (4) | |
3.3 | ✔A tan 45° = 1 | (4) | |
[17] |
QUESTION 4 | |||
4.1.1 | ✔A sin θ S | (4) | |
4.1.2 | ✔CA −½ | (3) | |
4.2 | 2sinθ - cosθ = 0 | ✔A tanθ = ½ | (5) |
[12] |
QUESTION 5 | |||
5.1 | BHL = 180º - (90º + 40º) | ✔A | (1) |
5.2 | In BHL | ✔M | (2) |
5.3 | ✔M | (3) | |
5.4 | ΔALB = ½AL × LB.sinALB | ✔M | (3) |
[9] |
QUESTION 6 | |||
6.1 | f(x) = 2 c0s x and g(x) = sin(x - 30º) | ||
f: | (6) | ||
6.2 | Amplitude f = 2 | ✔A | (1) |
6.3 | Period g = 360° | ✔A | (1) |
6.4 | x∈(0º;30º) or x∈[210º;360º] | ✔CA end points | (4) |
[12] |
QUESTION 7 | |||
7.1.1 | Perpendicular | ✔A | (1) |
7.1.2 | Equal | ✔A | (1) |
7.1.3 | Supplementary | ✔A | (1) |
7.2 | |||
7.2.1 | Let DO = x cm | ✔M Apply Pyth | (4) |
7.2.2 | tanDOB = 15 | ✔M | (3) |
7.3 | |||
7.3.1 | RS is a tangent, because it touches the surface at one point only. | ✔A tangent | (2) |
7.3.2 | DBC = 40º tan-chord thm | ✔ST ✔RE | (3) |
7.3.3 | D3 = 90º - (D2 + D1) tan⊥rad | ✔ST ✔RE | (3) |
7.3.4 | BDS = 80º | ✔ST | (3) |
[21] |
QUESTION 8 | |||
8.1 | TQ = MR prop theorem; TM//QR | ✔ST | |
8.2.1 | CE = 1 prop theorem; TE//AD | ✔ST | (2) |
8.2.2 | DE = AT = 2 prop theorem; AD//TE | ✔SR ✔RE ✔S | (4) |
8.2.3 | BD = DE D as mid-pt BE, proved | ✔ST ✔RE | (4) |
8.2.4 | ✔M | (3) | |
[17] |
QUESTION 9 | |||
9.1 | 4h2 - 4dh + x2 = 0 4h2 - 4(10)h + 82 = 0 4h2 - 40h + 64 = 0 h2 - 10h + 16 = 0 (h - 2)(h - 8) = 0 h = 2cm & 8cm | ✔ A formula | (5) |
9.2.1 | s = rθ
| ✔A formula | (4) |
9.2.2 | Length of belt = 165 + 130 × 2 + 401 = 826 cm | ✔M | (2) |
9.3.1 | ✔A formula | (4) | |
9.3.2 | ![]() | ✔A formula | (5) |
[20] |
QUESTION 10 | |||
10.1.1 | ✔A | (1) | |
10.1.2 | Volcone = 1 Volcylinder or Volcylinder = 3Volcone | ✔A | (1) |
10.1.3 | ✔ST | (2) | |
10.1.4 | Vcone = 1 πr2h | ✔A SF ✔S | (2) |
10.1.5(a) | ✔M ✔A SF ✔S ✔S | (4) | |
10.1.5(b) | r2 = 3h2 | ✔ A SF | (2) |
10.2.1 | ✔A formula | (3) | |
10.2.2 | Shaded region = Tot_rect_region - map_region | ✔ A Area total region ✔ CA Area | (3) |
[18] | |||
TOTAL: | 150 |
MATHEMATICAL LITERACY
PAPER 2
GRADE 12
NSC EXAMS
PAST PAPERS AND MEMOS JUNE 2019
ANNEXURE A: QUESTION 1
Tuition Fee Account
MISS NANCY DAWN | STUDENT No./STUDENTE NR. 2017089382 | 05/03/2018 |
DEGREE/GRAAD | ||
BA (CS)CMC | ||
ACCOUNT NO./REKENING NR. | ||
2015089382 |
DATE | DATE DUE | COURSE CODE | DESCRIPTION | DEBIT | CREDIT |
26/01/2018 | 31/12/2017 | OPENING BALANCE | 2 696.94 | ||
16/02/2018 | 31/03/2018 | BKT 214 | DR-TUT FEE 1ST SEMESTER BFN | 3 715.00 | |
16/02/2018 | 31/03/2018 | KOM 214 | DR-TUT FEE 1ST SEMESTER BFN | 3 715.00 | |
16/02/2018 | 31/03/2018 | KOM 234 | DR-TUT FEE 1ST SEMESTER BFN | 3 715.00 | |
16/02/2018 | 31/03/2018 | BKO 234 | DR-TUT FEE 1ST SEMESTER BFN | 3 715.00 | |
16/02/2018 | 31/03/2018 | EBUS2714 | DR-TUT FEE 1ST SEMESTER BFN | 4 280.00 | |
16/02/2018 | 31/03/2018 | EBUS2715 | DR-TUT FEE 1ST SEMESTER BFN | A . | |
16/02/2018 | 31/08/2018 | EBMA2624 | DR-TUT FEE 2ND SEMESTER BFN | 3 510.00 | |
16/02/2018 | 31/08/2018 | BKO 244 | DR-TUT FEE 2ND SEMESTER BFN | 3 715.00 | |
16/02/2018 | 31/08/2018 | BKO 264 | DR-TUT FEE 2ND SEMESTER BFN | 3 715.00 | |
16/02/2018 | 31/08/2018 | KOM 224 | DR-TUT FEE 2ND SEMESTER BFN | 3 715.00 | |
16/02/2018 | 31/08/2018 | ESBM2724 | DR-TUT FEE 2ND SEMESTER BFN | 4 280.00 | |
16/02/2018 | 31/03/2018 | DR-CAMPUS LEVY | 210.00 | ||
16/02/2018 | 31/03/2018 | DR-REGISTRATION FEE | 1 020.00 | ||
21/02/2018 | CR-ACADEMIC BURSARY BFN | 2 188.00 | |||
02/03/2018 | 01/04/2018 | BKT 214 | DR-STUDY GUIDE BFN | 25.21 | |
02/03/2018 | 01/04/2018 | EBUS2714 | DR-STUDY GUIDE BFN | 14.40 | |
BALANCE | 45 198.55 | ||||
OVERDUE | CURRENT | PAYABLE NOW | ||||||||||
508.94 | 25 754.61 | 26 263.55 | ||||||||||
FEB | MAR | APR | MEI | JUN | JUL | AUG | SEP | OCT | NOV | DEC | Other | FUTURE PAYMENTS |
18 935 | 18 935.00 |
Students receiving financial aid remain responsible for payment of sthe amount shown as’ PAYABLE NOW’’
ANNEXURE B: QUESTION 2.1
ANNEXURE C: QUESTION 3.1
ABSA PREMIER SOCCER LEAGUE
Rank | Team | Played | Won | Lost | Drawn | Points |
1 | Orlando Pirates | 14 | 6 | 2 | 6 | A |
2 | Wits | 12 | 7 | 3 | 2 | 23 |
3 | Mamelodi Sundowns | 11 | 5 | 0 | 6 | 21 |
4 | Bloemfontein Celtic | 12 | 6 | 3 | 3 | 21 |
5 | Polokwane City | 13 | 6 | 4 | 3 | 21 |
6 | Supersport United | 12 | B | 3 | 4 | 19 |
7 | Kaizer Chiefs | 14 | 4 | 4 | 6 | 18 |
8 | Cape Town City | 12 | 4 | 4 | 4 | 16 |
9 | Highlands Park | 12 | 3 | 3 | 6 | 15 |
10 | Golden Arrows | 13 | 3 | 4 | 6 | 15 |
11 | Free State Stars | 14 | 3 | 7 | 4 | 13 |
12 | Maritzburg United | 11 | 1 | 3 | 7 | 10 |
13 | AmaZulu | 12 | 4 | 4 | 4 | 10 |
14 | Baroka FC | 12 | 2 | 6 | 4 | 10 |
15 | Chippa United | 12 | 2 | 6 | 4 | 10 |
16 | Black Leopards | 12 | 2 | 7 | 3 | 9 |
ANNEXURE D: QUESTION 4.1
ANNEXURE E: QUESTION 4.2
TICKET COSTS FOR WIMBLEDON TENNIS CHAMPIONSHIPS IN 2007 AND 2019