QMI1500 EXAM PACK ANSWERS AND BRIEF NOTES

QMI1500 EXAM
PACK ANSWERS
AND BRIEF NOTES

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TABLE OF CONTENTS

PAPERS PAGE

Oct-Nov 2019 .......................................................................................................................................... 3

May-June 2019 ...................................................................................................................................... 15

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QMI1500 OCT/NOV 2019
QUESTION 01

𝑎5 𝑏𝑐 3
𝑎2 𝑏3 𝑐 2
3 1 2
Since a = 2 , b = 2, c = 3

3 1 2
( )5 ( )( )3
= 3
2
1
2
2
3
=9
( ) 2 ( )3 ( )2
2 2 3


OPTION [1]



QUESTION 02
4−5𝑥 13 1−3𝑥
6
− 45
= 4
multiply everything by the highest denominator

4 − 5𝑥 13 1 − 3𝑥
45( ) − 45( ) = 45( )
6 45 4
1 1
72 (4 − 5𝑥) – 13 = 114(1 – 3x) get rid of the brackets

1 1 3
30 - 372 𝑥 – 13 = 114 - 334x collect like terms

1 3 1
30 – 13 - 114 = - 334x + 372 𝑥

3 3 3
54 = 34 𝑥 divide both sides by 34

8
115 = x

OPTION [4]

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QUESTION 3

Pule Lerato
Wind chimes(x) 4 2
Birdhouses(y) 3 4
More than 38 Less than 48
≤≥

4x + 3y ≥ 38

2x + 4y ≤ 48

OPTION [4]



QUESTION 4

COMBINATION

OPTION [1]



QUESTION 5

PERMUTATION

8 actors for 3 roles

Main role options x second role options x third role options

= 8 x 7 x 6 = 336

OR
n
Px = 8P3 = 336

OPTION [1]