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TEACHERS WITHOUT BORDERS
PROGRAMME
BROUGHT TO YOU BY
With grateful thanks to our associate partners, The National Department of Basic Education, The Independent
Examinations Board, Siyavula Education, Smarticks, Noteshare, Lemonlicious, datacentrix, and most of all, to
the schools and teachers from both the public and private education sectors who as founder contributors,
have lent content to the Teachers without Borders programme, for the benefit of all South Africa's learners.
In Bill Gates words, at the Mandela Day ‘Living Together’ address: “Maintaining the quality of this country’s
higher education system while expanding access to more students will not be easy. But it’s critical to
South Africa’s future” – working together, we can help achieve this."
Contributing schools to date:
Clifton School Milnerton High Rustenburg Girls’ High St Peter's
Durban Girls' Northwood High St Anne's DC St Stithians
Fairmont High Roedean St John's DSG Wynberg Boys' High
Herzlia High Rondebosch Boys’ St Mary's DSG Kloof Wynberg Secondary
, ST PETER’S COLLEGE
JULY EXAMINATIONS 2016
MATHEMATICS PAPER I: GRADE 10
Date: 18 July 2016 Time: 2 hours
SESSION: 1 Marks: 100
Examiner: I. Havenga
Moderators: S. Louw; M. Horwood; W. Sokana; S. Tudhope; N. Munilall
Name of Student: _____________________________________________________
Name of Teacher: S. Louw M. Horwood W. Sokana S. Tudhope I. Havenga
(Please circle)
For Examiner’s use only:
SECTION A SECTION B
Question 1 2 3 4 5 6 7 8 9 Total
Cognitive
1/2 1/2 1/2 2 1/2 3 3/4 3 4
Levels
Actual
Mark
Possible
7 14 8 8 13 19 8 13 10 100
Mark
Read the following instructions carefully:
1. This examination paper consists of 14 pages and 9 questions. Please check that your
paper is complete.
2. Read the questions carefully. Take note of the mark allocation and the wording of the
questions.
3. Answer ALL the questions on the question paper in the spaces provided. No loose
sheets are allowed.
4. Only non-programmable, non-graphical calculators are permitted.
5. ALL CALCULATIONS AND WORKING DETAILS MUST BE SHOWN.
6. It is in your own interest to write legibly and to present your work neatly.
7. Unless otherwise stated, round off correct to TWO decimal places, where necessary.
Grade 10 Mathematics Paper I – 18 July 2016 Page 1 of 15
, SECTION A – 50 Marks
QUESTION 1 [7]
1.1 Classify the following numbers as rational, irrational or non-real:
3
1.1.1 √9 (1)
1.1.2 √9 (1)
1.1.3 √−9 (1)
1.2 ̅̅̅̅ as a common fraction.
Express 0,15 (4)
QUESTION 2 [14]
Simplify:
2𝑥 2 −8
2.1 (𝑥 − 1)(𝑥 2 + 1)(𝑥 + 1) (3) 2.2 (3)
2−𝑥
Grade 10 Mathematics Paper I – 18 July 2016 Page 2 of 15
TEACHERS WITHOUT BORDERS
PROGRAMME
BROUGHT TO YOU BY
With grateful thanks to our associate partners, The National Department of Basic Education, The Independent
Examinations Board, Siyavula Education, Smarticks, Noteshare, Lemonlicious, datacentrix, and most of all, to
the schools and teachers from both the public and private education sectors who as founder contributors,
have lent content to the Teachers without Borders programme, for the benefit of all South Africa's learners.
In Bill Gates words, at the Mandela Day ‘Living Together’ address: “Maintaining the quality of this country’s
higher education system while expanding access to more students will not be easy. But it’s critical to
South Africa’s future” – working together, we can help achieve this."
Contributing schools to date:
Clifton School Milnerton High Rustenburg Girls’ High St Peter's
Durban Girls' Northwood High St Anne's DC St Stithians
Fairmont High Roedean St John's DSG Wynberg Boys' High
Herzlia High Rondebosch Boys’ St Mary's DSG Kloof Wynberg Secondary
, ST PETER’S COLLEGE
JULY EXAMINATIONS 2016
MATHEMATICS PAPER I: GRADE 10
Date: 18 July 2016 Time: 2 hours
SESSION: 1 Marks: 100
Examiner: I. Havenga
Moderators: S. Louw; M. Horwood; W. Sokana; S. Tudhope; N. Munilall
Name of Student: _____________________________________________________
Name of Teacher: S. Louw M. Horwood W. Sokana S. Tudhope I. Havenga
(Please circle)
For Examiner’s use only:
SECTION A SECTION B
Question 1 2 3 4 5 6 7 8 9 Total
Cognitive
1/2 1/2 1/2 2 1/2 3 3/4 3 4
Levels
Actual
Mark
Possible
7 14 8 8 13 19 8 13 10 100
Mark
Read the following instructions carefully:
1. This examination paper consists of 14 pages and 9 questions. Please check that your
paper is complete.
2. Read the questions carefully. Take note of the mark allocation and the wording of the
questions.
3. Answer ALL the questions on the question paper in the spaces provided. No loose
sheets are allowed.
4. Only non-programmable, non-graphical calculators are permitted.
5. ALL CALCULATIONS AND WORKING DETAILS MUST BE SHOWN.
6. It is in your own interest to write legibly and to present your work neatly.
7. Unless otherwise stated, round off correct to TWO decimal places, where necessary.
Grade 10 Mathematics Paper I – 18 July 2016 Page 1 of 15
, SECTION A – 50 Marks
QUESTION 1 [7]
1.1 Classify the following numbers as rational, irrational or non-real:
3
1.1.1 √9 (1)
1.1.2 √9 (1)
1.1.3 √−9 (1)
1.2 ̅̅̅̅ as a common fraction.
Express 0,15 (4)
QUESTION 2 [14]
Simplify:
2𝑥 2 −8
2.1 (𝑥 − 1)(𝑥 2 + 1)(𝑥 + 1) (3) 2.2 (3)
2−𝑥
Grade 10 Mathematics Paper I – 18 July 2016 Page 2 of 15
