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Pure Maths C3 Edexcel A level #pure #puremaths #edexcel #alevelmaths #A2 #ccea #aqa
Flashcards
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Questions
38
Answers
1
When you have the
curve f(x)
. How do you find the curve
f(|x|)
?
reflect the lower part of the graph into the top quadrants
reflect the right part of the graph into the left quadrants
reflect the left part of the graph into the right quadrants
reflect the upper part of the graph into the lower quadrants
2
What does this graph transformation do?
f(x) + a
horizontal translation of factor -a
vertical translation of factor +a
vertical stretch of scale factor a
horizontal stretch of scale factor 1/a
3
What method would you use to differentiate this?
e
x
sin(x)
quotient rule
product rule
chain rule
function of a function
4
Differentiate
sin (3x)
- 3 sin (3x)
3 cos (3x)
cos (3x)
sin (3x)
5
What does this graph transformation do?
af(x)
horizontal translation of factor -a
horizontal stretch of scale factor 1/a
vertical stretch of scale factor a
vertical translation of factor +a
6
What is Moondog's favourite biscuit?
Custard Creams
Chocolate digestive
Chocolate Oaties
bourbon creams
7
When functions
f(x) = 2x+1
and
g(x) = x
2
What is composite function
gf(x)
?
gf(x) = (2x+1)2
gf(x) = (2x2+1)2
gf(x) = x2+1
gf(x) = 2x2+1
8
What does this graph transformation do?
f(ax)
horizontal translation of factor -a
vertical stretch of scale factor a
horizontal stretch of scale factor 1/a
vertical translation of factor +a
9
What value of
x
will give the maximum value of
12 cos(x+30
o
)
0
-30
12
-12
10
Function
f(x) = x
2
+1
when domain is
3 ⩽ x ⩽ 7
. What is the range?
2⩽ f(x) ⩽ 50
10< f(x) ⩽ 50
10⩽ f(x) ⩽ 50
1⩽ f(x) ⩽ 50
11
When you have the curve
f(x)
. How do you find the curve
|f(x)|
?
reflect the lower part of the graph into the top quadrants
reflect the right part of the graph into the left quadrants
reflect the upper part of the graph into the lower quadrants
reflect the left part of the graph into the right quadrants
12
When functions
f(x) = 2x+1
and
g(x) = x
2
What is composite function
fg(x)
?
fg(x) = (2x+1)2
fg(x) = 2x2+1
fg(x) = (2x2+1)2
fg(x) = x2+1
13
What is the range of the function
f(x) = e
x
when
-∞ < x < ∞
f(x)⩾ 1
f(x) > 0
f(x)⩾ 0
f(x) > 1
14
What method would you use to differentiate this?
x
2
sin(x)
product rule
chain rule
function of a function
quotient rule
15
Which pop diva is helpful in trigonometry
Beyoncé
Kylie Minogue
16
What method would you use to differentiate this?
sin(7x-5)
quotient rule
function of a function
product rule
chain rule
17
If
sin(A) =
1
/
5
then which is correct below
tan(A) = 1/√24
cos(A) =√24/5
cosec(A) = 5
18
Who joined our class this year?
The Magic Numbers
Beyonce
Some random Year 10 students
Kylie
19
Beyoncé is helpful in your exam with this transformation
f(x+h)
f(x)+h
af(x)
f(ax)
20
How do you find the inverse of a function?
the swappy method
using the socks and shoes approach
reflecting in the y axis
reflecting in the line y=x
21
Price of car using formula
P = 20000 e
(-0.5t)
when
t
is years old. What price in 1 year?
£54365
£12130
£7357
£20000
22
What does this graph transformation do?
f(x+a)
horizontal stretch of scale factor 1/a
vertical stretch of scale factor a
vertical translation of factor +a
horizontal translation of factor -a
23
Solve
e
x+1
= 3
exactly
eln(3-1)
eln(3) + 1
ln(3) - 1
ln(3) + 1
24
What is the inverse of this function
f(x) = ln(x+2)
?
f(x) = 2 - ey
f-1(x) = ex-2
f-1(x) = ey-2
f-1(x) = 2 + ey
25
cosec(30)
sin(30)
1/ cos(30)
1/ sin(30)
cos(60)
26
When you have the curve
f(x)
. How do you find the curve
f(x)+4
?
translate the whole curve 4 units up
translate the whole curve 4 units down
translate the whole curve 4 units to the left
translate the whole curve 4 units to the right
27
sin(2A) =?
2sin(A)cos(A)
2sin(A)cos(2A)
sin(A)cos(A)
2sin2(A)
28
How many Party Rings did Andrew eat?
7
9
8
10
29
When functions
h(x) =e
x
for
x
⩾
0
then what is the range of the function?
Range is h(x) ⩾ 0
Range is h(x) ⩾ ln(0)
Range is h(x) ⩾ 1
Range is h(x) ⩾ x
30
When you have the curve
f(x)
. How do you find the curve
2f(x)+4
?
multiply the y coordinates by 2 then translate 4 units up
translate 4 units up then multiply the y coordinates by 2
multiply the y coordinates by 2 then translate 4 units down
translate 4 units down then multiply the y coordinates by 2
31
What is the maximum value of
12 cos(x+30
o
)
12
30
-12
1
32
Differentiate
tan (2x -3)
2 tan2 (2x-3)
2 sec2 (2x-3)
you're having a laugh!
tan2 (2x-3)
33
sec
2
(m) = ?
tan2(m) + 1
sec2(m) +1
cosec2(m) + 1
tan2(m) - 1
34
What method would you use to differentiate this?
3 cos
2
(x)
quotient rule
product rule
chain rule
function of a function
35
Differentiate
cos(x)
cos (x)
sin (x)
cos2(x)
- sin (x)
36
cos(2∂) =
1 - 2 sin2(∂)
cos2(∂) - sin2(∂)
cos2(∂) + sin2(∂)
2cos2(∂) - 1
37
When you have the curve
f(x)
. How do you find the curve
f(x+4)
?
translate the curve 4 units up
translate the whole curve 4 units to the right
translate the whole curve 4 units down
translate the whole curve 4 units to the left
38
What is the minimum value of
5 sin(x+30
o
)
5(-1)
5
30
-5
