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Page 1

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Core 1 Mathematics A.




Algebra and Functions
Laws of indices
m+n
am x an = a

m-n
am ÷ an = a

a-m =


a 1/m =


an/m =

mn
(am)n = a

a0 = 1
A quadratic expression has the form ax2 + bx + c , where a,…

Page 2

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Core 1 Mathematics A.




Equal roots
b2 = 4ac
Real roots
b2 4ac
Real different roots
b2 > 4ac
No real roots
b2 < 4ac

Sketching Curves
Transformations
f (x + a)
- a from all the x ­ coordinates
f (x) + a
+ a from all the y…

Page 3

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Core 1 Mathematics A.




nth term = a + (n ­1) d
Where a is the first term and d is the common difference
Sum of an Arithmetic Series
Sn = n
2 [2a + (n - 1)d]

Or Sn = n
2[a + L]

Where a is the first…

Page 4

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Core 1 Mathematics A.





(kxn + lxm)dx = kxnn+1
+1 xm+1 + c (n - 1, m - 1)
+ lm +1

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