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Maths — Pure Mathematics 1
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IAL
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Maths
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Underground Mathematics
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Trig countdown
Trig countdown
Fluency exercise
Developing
1.2
© University of Cambridge (Underground Mathematics); © UCLES / Oxford MAT / NRICH for sourced exam questions
. Source: undergroundmathematics.org.
Trig countdown
More from these spec points
Factorisable quadratics
Inequalities for some occasions
Irrational roots
Pick a card...
Quadratic solving sorter
When is
12
x
2
+
7
x
−
10
12x^2+7x-10
negative?
Can we solve
n
x
2
+
2
x
p
n
2
+
q
+
r
n
+
s
=
0
nx^2+2x\sqrt{pn^2+q}+rn+s=0
?
Can we find both roots if one is double the other?
Can we solve
12
/
(
x
−
3
)
<
x
+
1
12/(x-3) < x+1
?
Where does
y
=
p
x
2
+
8
x
+
p
−
6
y = px^2 + 8x + p - 6
cross the
x
x
-axis?
When are these quadratic inequalities true together?
Which quadratic?
GeoGebra constructions... quadratic edition
Proving the quadratic formula
Quadratic grids
How do we increase the roots of a quadratic equation by
1
1
?
Can we prove this inequality involving two square roots?
If we know two values satisfying a quadratic, can we find the quadratic?
Can we fit a quadratic to this given data?
Into how many regions do these parabolas divide the plane?
Trig tables
Using angles in a pentagon...
Can we approximate the area under this sine curve?
Which of these area and perimeter statements is true?
Trig tables - teacher support
Can we compose two simple functions?
Can we draw the graph of
∣
x
+
[
x
]
∣
\left| x + [x] \right|
?
Can we find the ranges of
f
f
and
g
g
, and the function
f
∘
g
f \circ g
?
Can we sketch the graph of
g
:
x
→
x
−
[
x
]
g \colon x \to x - [x]
?
Can we work with the domain, codomain and range of a bijection?
Compose!
Composing gets me nowhere
Domain and range dominoes
Forming functions — defining domains
Invertibles
Making inverse functions