100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Grade 12 Mathematics (MATH) November Paper 2 and Memo - 2023 (2) R50,00   Add to cart

Exam (elaborations)

Grade 12 Mathematics (MATH) November Paper 2 and Memo - 2023 (2)

 265 views  0 purchase

Grade 12 Mathematics Nov Paper 2 and Memo: Total:  150 Marks. Contents of the exam paper contains the following details: Euklidiese Meetkunde. | Analitiese meetkunde. | Trigonometrie. | Statistiek. This is a practice paper with memorandum meant to test the student's knowledge, and will n...

[Show more]

Preview 3 out of 19  pages

  • November 27, 2023
  • 19
  • 2022/2023
  • Exam (elaborations)
  • Questions & answers
All documents for this subject (24)
avatar-seller
SummariesSA
GRADE 12 MATHEMATICS
NOVEMBER EXAMINATION PAPER 2

QUESTION 1
The following frequency table provides the number of goals scored by the Protea netball team
during 50 matches in 2018.

Number of goals Frequency Cumulative Frequency

5< x ≤10 6 b
10< x ≤15 a 14
15< x ≤20 13 27
20< x ≤25 9 c
25< x ≤30 7 43
30< x ≤35 d 48
35< x ≤ 40 e 50

1.1 Determine the values a to e. (5)
1.2 Calculate the average goals scored in 2018. (2)
[7]

QUESTION 2
The table below shows the data for the heartrate per minute of ten males. Their heartrate is
checked before they cycle for 10min (x) and after they have exercised ( y ).
1 2 3 4 5 6 7 8 9 10

Heartrate before 65 50 125 80 85 112 53 118 85 130

Heartrate after 95 100 155 125 135 145 90 175 150 190


2.1 Represent the data a a scatter diagram on the grid provided. (3)

2.2 Calculate the mean heartrate before AND after exercise. (2)

2.3 Determine the formula for the least regression line to 4 decimal places. (2)

2.4 Calculate the correlation coefficient to 4 decimal places AND comment on the
strenght of it. (2)
1|Page www.summariessa.co.za M a t h e m a ti c s
Grade 12 November Paper 2

,2.5 Draw the least squares regression line on your scatter diagram. (1)
[10]


QUESTION 3
The table below shows the distances (in kilometers) travelled daily by a sales representative for
21 working days in a certain month.




3.1 Calculate the mean distance travelled by the sales representative. (2)

3.2 Write down the five-number summary for this data. (4)

3.3 Draw the box-and-whisker diagram for this set of data. (2)

3.4 Calculate the standard deviation of the distance travelled. (2)
[10]



QUESTION 4
4.1 The diagram shows P,A,Q,R and S lies on the circumfrance of the circle with centre O.
SB is a tangent at S and RW=WP. AOWS and RWP are straightlines.




Proof that:
4.1.1 SB∥ RP (4)
4.1.2 SR2=WS . AS (5)
2
RW
4.1.3 AS= +WS (4)
WS




2|Page www.summariessa.co.za M a t h e m a ti c s
Grade 12 November Paper 2

, 4.2 AB is the diameter of the circle. D and C are points on the circumfrence of the circle with
DE ⊥ AB. DE and AC intercect one another st T. With ^ ^
D 1= C 2




Proof That:
4.2.1 DA 2= AT . AC (5)
[18]



QUESTION 5
The diagram shows a circle with centre M(1;2). TS is a tangent line to the circle with T(-1;-2) a
point on the circle.




5.1 Determine the equation of the circle with centre at M in the form.
(x−a)2 +( y−b)2=r 2 (3)

5.2 Determine the equation of TS. (5)
5.3 The two circles with centres R and M meet externally at point T.TS is a tangent to both
circles at point T. If MT:TR = 1:4, Determine the coordinates of point R, if the circle with
centre R lies in the 3rd quadrant. (8)
[15]
3|Page www.summariessa.co.za M a t h e m a ti c s
Grade 12 November Paper 2

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

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

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

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.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

67096 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy summaries for 14 years now

Start selling
R50,00
  • (0)
  Buy now