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TECH MATHS P1 QP GR11 NOV2023_English D CA$22.29   Add to cart

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TECH MATHS P1 QP GR11 NOV2023_English D

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TECH MATHS P1 QP GR11 NOV2023_English D

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  • June 29, 2024
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  • 2023/2024
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NATIONAL
SENIOR CERTIFICATE


GRADE 11


NOVEMBER 2023



TECHNICAL MATHEMATICS P1


MARKS: 150

TIME: 3 hours




This question paper consists of 13 pages, including a
2-page information sheet and an answer sheet.

,2 TECHNICAL MATHEMATICS P1 (EC/NOVEMBER 2023)


INSTRUCTIONS AND INFORMATION

Read the following instructions carefully before answering the questions.

1. This question paper consists of EIGHT questions.

2. Answer ALL the questions.

3. Answer QUESTION 5.5 on the ANSWER SHEET that is provided. Write your name
and the school’s name in the spaces provided and then hand in the DIAGRAM
SHEET with your ANSWER BOOK.

4. Clearly show ALL calculations, diagrams, graphs, et cetera, that you have used in
determining your answers.

5. An approved scientific calculator (non-programmable and non-graphical) may be
used, unless stated otherwise.

6. If necessary, ALL answers should be rounded off to TWO decimal places, unless
stated otherwise.

7. Number the answers correctly according to the numbering system used in this
question paper.

8. Diagrams are NOT necessarily drawn to scale.

9. Write neatly and legibly.




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, (EC/NOVEMBER 2023) TECHNICAL MATHEMATICS P1 3

QUESTION 1

1.1 Simplify the following completely WITHOUT using a calculator.

3
1.1.1 (5 3 0
√ − x5) (1)
1
1.1.2 x2(3 − x) (2)

1.1.3 (√3 − 3)(√3 + 3) (3)
1 1
log2325 + log2273
1.1.4
log26 + log7x0 (6)

3x1  7
1.2 Consider: y x 3x1
6  9x
1
1.2.1 Prove that y  1    31  x
 
3  9 (5)

1.2.2 Hence, show that for y real numbers then x even
(1)
numbers.

1.3 Consider binary numbers X = 1000002 and Y = 1112

1.3.1 Write X and Y in decimal form. (2)

1.3.2 Hence or otherwise, determine (X − Y) in binary form. (2)




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