AS Maths Flashcards

1
Q

The sum of an arithmetic sequence:

A) Sn =n/2(a1 +an)
B) Sn =n/2 (2a +d(n-1))
C) Sn =a + d(n-1)

A

A&B

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2
Q

Sum of the first n terms of a geometric series?

A) a + d(n-1)
B) a(1-r^n)/1-r
C) a/1-r

A

B

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3
Q

a/1-r

A) Sum to infinity geometric series
B) Sum to n, arithmetic series
C) First term of a geometric series

A

A

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4
Q

Loga + logb =

A) logab
B) loga/b
C) loga^b

A

A

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5
Q

If the gradient of a straight line =m, The gradient of the perpendicular =

A) m
B) -m
C) -1/m

A

C

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6
Q

The area of a triangle

A) absinC
B) 1/2 absinC
C) 1/2mg^2

A

B

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7
Q

a/sinA =b/sinB

What is this rule?

A

Sin rule

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8
Q

Cosine rule

A) ab +1/2cos(C)
B) cosA= (b2+c2-a2)/2bc
C) cosA = sinB -sinC

A

B

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9
Q

sin30

A

1/2

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10
Q

Cos30

A

Root(3)/2

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11
Q

Tan30

A

1/root(3)

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12
Q

Sin45 or cos45

A

1/root(2)

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13
Q

Tan45

A

1

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14
Q

Sin60

A

Root(3)/2

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15
Q

Cos60

A

1/2

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16
Q

Tan60

A

Root(3)

17
Q

Sin90

A

1

18
Q

Cos90

A

0

19
Q

Tan90

A

Undefined

20
Q

The turning point is found by?
A) Finding y’, then solving for y’ =1
B) finding y’, then solving for y’ =0
C) Finding y’, then using -1/m

A

B

21
Q

The nature of a turning point is found by?

A) Solving y’’, finding the value of y’’ at the coordinates of the t.p
B) Solving y’, finding the value of y’ at the coordinates of the t.p
C) investigating the value of y’ either side of the t.p

A

A and C

22
Q

For maxima, y’’ is

A) 0
B) <0
C) >0

A

B

23
Q

For minima, y’’ is

A) A giant parrot
B) The emperor palpatine
C) >0

A

C