[PDF] Answers to: Mathematics IEB 2016 Paper 1 - Advantage Learn



Previous PDF Next PDF
















[PDF] vecteurs orthogonaux exercices

[PDF] rapport jury agregation externe eps 2016

[PDF] agregation maths sujet

[PDF] vecteurs orthogonaux definition

[PDF] rapport jury agregation externe eps 2017

[PDF] siac2

[PDF] prouver que deux droites sont perpendiculaires dan

[PDF] sujet agregation espagnol 2016

[PDF] rapport jury agrégation interne espagnol 2017

[PDF] figure hybride définition

[PDF] rapport jury agrégation interne espagnol 2011

[PDF] l'attachement définition

[PDF] caregiving définition

[PDF] rapport jury capes interne anglais 2015

[PDF] définition attachement bowlby

Answers to: Mathematics IEB 2016 Paper 1 - Advantage Learn

AdvantageLearn.com

Answers to:

Mathematics

IEB 2016 Paper 1

AdvantageLearn.com

©Advantage Learn. A division of Advantage Learning Technologies (Pty) Ltd. 1

Disclaimer:

These answers are developed by Advantage Learn as example solutions to the

IEB (Independent Examinations Board) exam papers.

These answers can be freely downloaded, shared and printed for students to use to help them in preparing for their examinations. Advantage Learn does not produce the exam papers which are copyright of the IEB. The IEB past exam papers are available freely on the internet. If you have any queries about the paper then please contact the IEB directly. If you are looking for any of the question papers then you can find them on our website, https://advantagelearn.com.

AdvantageLearn.com

©Advantage Learn. A division of Advantage Learning Technologies (Pty) Ltd. 2

SECTION A

QUESTION 1

a.

1. ସ௫

Critical values: ݔൌͳ͵ or ݔൌെʹ

X-int: Let ݕൌͲ

c.

1. ݔൌെͳand ݕൌʹ

2. ସ

d. ܿ ସ or െଵ ଽ or െଵ ଵ଺ or െଵ

AdvantageLearn.com

©Advantage Learn. A division of Advantage Learning Technologies (Pty) Ltd. 3

QUESTION 2

a.

1. LHS ൌ͵ቀଵ

LHS ് RHS ׵

ଷ is incorrect

2. ͵ݔൌെξ͸ݔെͳ

From part (1), there is no solution.

QUESTION 3

AdvantageLearn.com

©Advantage Learn. A division of Advantage Learning Technologies (Pty) Ltd. 4

QUESTION 4

a. Amount paid for all 110 laptops: ͸ͲͲͲൈͳͳͲൌ͸͸ͲͲͲͲ

Depreciation over 5 years: ܣ

Inflation: ܣൌܲ

ൌ R ͷͻͲ͵ͺ͵ǡ͵͹ b. Sinking Fund:

QUESTION 5

a. ͹൅ͳʹ൅ͳ͹൅ڮ b.

2. ܽ

AdvantageLearn.com

©Advantage Learn. A division of Advantage Learning Technologies (Pty) Ltd. 5 ׵ ʹܽൌʹ and so ܽ ׵ ͵ܽ൅ܾൌ͸ and so ܾ ܽ׵ ൅ܾ൅ܿൌ͹ and so ܿ e. Volume of pyramid 1 ൌଵ

Volume of pyramid 2 ൌଵ

Volume of pyramid 3 ൌଵ

The sequence is geometric with ܽ

AdvantageLearn.com

©Advantage Learn. A division of Advantage Learning Technologies (Pty) Ltd. 6

QUESTION 6

Working out:

b. ݕൌെݔିଵ൅ݔ

AdvantageLearn.com

©Advantage Learn. A division of Advantage Learning Technologies (Pty) Ltd. 7

SECTION B

QUESTION 7

Above are two possible graphs, where we have concave down for ݔ൐Ͳ and inflection

AdvantageLearn.com

©Advantage Learn. A division of Advantage Learning Technologies (Pty) Ltd. 8

QUESTION 8

c. Inverse of ݃ǣ d. Domain of ݃ିଵ is when ݔ൅ͳ൐Ͳ, ׵ f. g. ݇൐െ͸

AdvantageLearn.com

©Advantage Learn. A division of Advantage Learning Technologies (Pty) Ltd. 9

QUESTION 9

c. ݂ is concave down when:

AdvantageLearn.com

©Advantage Learn. A division of Advantage Learning Technologies (Pty) Ltd. 10

QUESTION 10

We are given that:

Now,

Hence,

ௗ௥ൌͲ. Then,

But ݎ്Ͳ, ׵

AdvantageLearn.com

©Advantage Learn. A division of Advantage Learning Technologies (Pty) Ltd. 11

QUESTION 11

a.

1. ସ଺

2. ቀଽ

b. ଼Ǩ Note: Busi and Khanya alternate, so the first probability is given by: then Busi chooses R third, then Khanya chooses B fourth, etc.

Hence: ܲ

This is an infinite geometric series and we have that: ଻మ and ݎൌቀ଺

AdvantageLearn.com

©Advantage Learn. A division of Advantage Learning Technologies (Pty) Ltd. 12

QUESTION 12

surface area, we need to identify the three major components that make up the paperweight. These are:

AdvantageLearn.com

©Advantage Learn. A division of Advantage Learning Technologies (Pty) Ltd. 13 Note: We want the blue area, which is Area of square ʹ Area of quarter circle. Hence the total surface area of the paperweight is given by adding the three major components areas:quotesdbs_dbs7.pdfusesText_5