This booklet is a complete set of notes for the IEB NSC Mathematics paper 1 (content from grades 10-12). Designed to be your go-to comprehensive guide, this booklet aims to make the content part of mathematics easy, so that you can focus on past papers and practice questions!
Type 2 : "Solve for ... nature of root" ans : solve for 4
; setup equation/inequality to fulfill real, rational etc .
Type
"
3 : "Prove " "Show
...
... ans : sta form work out 0 ; set up
equation/inequality ; conclude
using & and nature of root
,
* Note 2
: -
(x + y) is non-real
when asked "Show ....
roots are real for all real values of ...
"
o
complete square and give conclusion
Inequalities :
Theory
I
:
Quadratic Inequalities :
&
'
standard form Undefined and Non-real Expressions J is 0 when a o
put into
: : =
2
factorise undefined when b o
=
3 find xis real when
sign analysis
roots + : ss, o
↳ non-real when o
answer
question
Word Sums :
Types of Word Sums :
Steps Solve Area will simultaneous
·
to : : use
equation
① understand context eg
. Xy = 48 and x =
14-y
total price
② identify the unkown Shopping/selling will Unit price
·
: use :
=
# of units
③ Draw for
a table
given information profit-selling price-cost price
14550
piece of information left
↳ there will
always be I out eg
. 12 + +C = 1000 -
los
⑪ TotalAmt quantity unit price
set up an
equation :
Buy
Sell Total
-
will always start as fraction =
fraction Amt quantity unit price
-
the smaller side
gets the extra info (left out of it) added to
:
it Speed ,
distance time : ,
will use fractions from sit
↳ fraction ,
+ extra info = fraction z
eg
. x-10
⑤ solve THERE Distance Speed time
&
⑥ relate back BACK Distance Speed time
answers to
original context
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