Maths

Question 1

Mutually exclusive events

Answer 1

P(A or B) = P(A) + P(B)

Question 2

Non mutually exclusive events

Answer 2

P(A or B) = P(A) + P(B) - P(A and B)

Question 3

Independent events

Answer 3

P(A and B) = P(A) * P(B)

Question 4

Disadvantage of using the mean

Answer 4

Influenced by extreme values so may give a false view

Question 5

Median disadvantage

Answer 5

Can only be used if ordered by size

Question 6

Range

Answer 6

Heavily influenced by extreme values

Question 7

Interquartile range

Answer 7

Not affected by extreme values but does not give a complete picture of the range

Question 8

Plan

Answer 8

View from above looking down onto the object

Question 9

Co-interior angles

Answer 9

Add up to 180

Question 10

Area of a trapezium

Answer 10

0.5h(a+b)

Question 11

If shape x is enlarged with scale factor n to give a similar figure

Answer 11

Area of similar figure is n^2 times area of x
Volume of similar figure is n^3 times area of x

Question 12

Sin 30

Answer 12

= cos 60 = 1/2

Question 13

Sin 60 =

Answer 13

Cos 30 = root(3)/2

Question 14

Tan 30 =

Answer 14

1/root(3)

Question 15

Tan 60

Answer 15

Root 3

Question 16

Sin 45

Answer 16

= cos 45 = 1/root2

Question 17

Tan 45 =

Answer 17

1

Question 18

Sum of interior angles in n sided polygon

Answer 18

180 (n-2)

Question 19

Sum of exterior angles in polygon

Answer 19

360

Question 20

Diagonals on a kite and rhombus

Answer 20

Intersect at right angles

Question 21

Kite

Answer 21

Pair of opposite angles which are equal

Question 22

Congruent if

Answer 22

SSS
SAS (angle between them)
ASA
RHS (right angle hypotenuse side)

Question 23

Invariant point

Answer 23

Centre of rotation ; unless angle of rotation is 0 or a multiple of 360, all points are invariant

Question 24

Circle theorems

Answer 24

Angle at centre of a circle is twice the angle subtended at the circumference by the same chord
Angle in a semicircle is 90 degrees
Angles in the same SEGMENT (not sector) are equal
Angle between radius and tangent is 90 degrees
Alternate segment - angle between tangent and chord is = angle subtended by that chord
Opposite angles in a cyclic quadrilateral add up to 180