Grade 12 Mathematics November Paper 1 and Memo:
Total: 150 Marks.
This exam covers the following work:
Algebra. | Number patterns. | Functions. | Finance. | Probability. | Differential Calculus. | Probability.
This is a practice paper with memorandum meant to test the student's knowledge,...
1.1.1 x 2−9 x +20=0 (3)
1.1.2 x ( x +3 ) −1=0 (correct to 2 decimal points) (3)
1.1.3 x 2+ 7 x <0 (3)
−5
1.1.4 2 x 3 =64 (4)
1.2 Solve simultaneously for x and y if:
2 x− y=8 , and
2 2
x −xy + y =19 (7)
1.3 Solve the expression below without the use of a calculator: (4)
√ 41024 + √ 4 1022
√ 16510
[24]
QUESTION 2
2.1 The terms p ;(2 p+2);(5 p+3) form an arithmetic sequence.
Determine:
2.1.1 The value of p. (4)
2.1.2 The rule in the form of a n=a+(n−1) d . (2)
2.1.3 The 15th term of the sequence. (4)
2.2 x ; y ; 81 is a geometric sequence.
And y=2 x−5
All terms in the sequences are integers.
Calculate the values of x and y . (10)
[20]
1|Page www.summariessa.co.za M a t h e m a ti c s
Grade 12 November Paper 1
,QUESTION 3
Given the sequence 2; 6; 10; 14; ….
3.1 What type of sequence is this? Justify your answer by calculation. (2)
3.2 Calculate T 55. (3)
3.3 Which term has a value of 322? (3)
3.4 Determine by calculation if 1204 is a term in the sequence? (4)
QUESTION 4
−3
The sketch below shows the graph of f ( x )= + q. The asymptotes of f intersects at B (−1; y ) .
x+ p
(
The Point D 5 ; 4
1
2)is a point on the graph.
4.1 Determine the value of p. (1)
4.2 Proof that q=5. (2)
4.3 Calculate the x -intercept of f . (2)
4.4 Determine the equation of the vertical asymptote of h if h ( x )=f ( x +4) (2)
4.5 One of the symmetry axes of f is an increasing function. Determine the equation of the
symmetry axis. (3)
4.6 Give the values x for f ( x ) ≥ x +6 . (2)
4.7 Determine the equation of g, the reflection of f in the x-axis and move two units
to the right. (3)
2|Page www.summariessa.co.za M a t h e m a ti c s
Grade 12 November Paper 1
, [15]
QUESTION 5
The functions f ( x )=−x2 −2 x +3 and g ( x )=mx+ c are shown below,
with g passing through points E, C and A. A and B are the x-intercepts of f , and CD is the
symmetry axis of f . E is the y -intercept of g .
5.1 Determine the coordinates of C, the turning point of the graph of f. (3)
5.2 Determine the equation of g. (4)
5.3 Calculate the length of CE. (2)
5.4 Determine the set of definitions of f −1 (x). (2)
[11]
3|Page www.summariessa.co.za M a t h e m a ti c s
Grade 12 November Paper 1
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through EFT, credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying this summary from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller SummariesSA. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy this summary for R50,00. You're not tied to anything after your purchase.
