Other

Question 1

Congruent

Answer 1

Shapes identical in shape and size

Question 2

Similar

Answer 2

Shapes with same angles or corresponding sides in same ratio

Question 3

Enlargement

Answer 3

Shape stays exact;y the same but the size changes

Question 4

Scale factor?
Centre of enlargement?
Determine what?

Answer 4

Size of the enlarged image
Location of enlarged image

Question 5

A fractional enlargement produces?
A negative enlargement produces?

Answer 5

A smaller image than the original
An image on the opposite side of the centre of enlargement

Question 6

The area scale factor is the …. of the length scale factor?
The volume scale factor is the … of the length?

Answer 6

Square
Cube

Question 7

4 congruency rules

Answer 7

SSS- side, side, side
SAS- side, angle, side
ASA- angle, side, angle
RHS- right-angle, hypotenuse, side

Question 8

Theta θ

Answer 8

The missing angle

Question 9

Sin, cos, tan
Equations?

Answer 9

Sinθ= opposite/ hypotenuse
Cosθ= adjacent/ hypotenuse
Tanθ= opposite/ adjacent

Question 10

Hand rules
Fingers?
Sin?
Cos?
Tan?

Answer 10

Pinky to thumb: 0, 30, 45, 60, 90
Sinθ= √bottom fingers /2
Cosθ= √top fingers /2
Tanθ= flip hand, √top fingers / √bottom fingers

Question 11

Exact trig values
Sin 0, 30, 45, 60, 90

Answer 11

Sin0= 0
Sin30= 1/2
Sin45= √2 / 2
Sin60= √3 / 2
Sin90= 1

Question 12

Exact trig values
Cos 0, 30, 45, 60, 90

Answer 12

Cos0= 1
Cos30= √3 / 2
Cos45= √2 / 2
Cos60= 1/2
Cos90= 0

Question 13

Exact trig values
Tan 0, 30, 45, 60, 90

Answer 13

Tan0= 0
Tan30= 1 / √3
Tan45= 1
Tan60= √3
Tan90= X

Question 14

Area of non right angle triangle equation

Answer 14

1/2 ab sin c

Question 15

Sine rule

Answer 15

a / sineA = b / sinB = c / sinC
lowercase= sides
uppercase= angles

Question 16

Cosine rule

Answer 16

a²=b²+c²-2bc cosA

Question 17

3 bearings rules

Answer 17

Measured from North
Always 3 digits
Always clockwise

Question 18

Length of an arc equation

Answer 18

θ / 360 x πd

Question 19

Area of sector equation

Answer 19

θ / 360 x πr²

Question 20

4 circle theorems

Answer 20

-Angle at centre is twice angle at circumference
-Angle in a semicircle is a right angle
-Angles in same segment are equal
-Opposite angles in cyclic quadrilaterals are equal

Question 21

Vectors
Top number?
Bottom number?

Answer 21

Horizontal
Vertical

Question 22

When are vectors parallel?

Answer 22

IF one vector is a multiple of another

Question 23

When are vectors co linear?

Answer 23

When the vectors are parallel and have a point in common

Question 24

Simple interest

Answer 24

Initial amount x percentage x no. of years

Question 25

Compound interest

Answer 25

Initial amount x (multiplier) to the power of the no. of years

Question 26

P(A∪B)?
P(A∩B)?
P(A’)?

Answer 26

A, B or both
Intersection
Everything but A

Question 27

Surd rules

Answer 27

√a x √b = √ab
√a x √a = a
√a / √b = √a / b

Question 28

Terminating decimal

Answer 28

Has a finite amount of numbers after the decimal

Question 29

Recurring decimal

Answer 29

Decimal numbers repeat forever

Question 30

Sample
Random sample

Answer 30

Part of a population
Part of a population where the data has equal chances

Question 31

Stratified sample

Answer 31

Divides a population into smaller groups called strata

Question 32

Frequency density

Answer 32

Frequency / class width

Question 33

Area of bar equals?

Answer 33

Frequency

Question 34

Cumulative frequency

Answer 34

Running total, adding frequencies through table

Question 35

How to draw cumulative frequency graph

Answer 35

Plot end point against cumulative frequency, join dots up

Question 36

Median

Answer 36

Half way up the cumulative frequency graph

Question 37

Lower quartile?
Upper quartile?
Interquartile range?

Answer 37

1/4 way up cumulative frequency
3/4 way up cumulative frequency
Upper-lower

Question 38

Identity

Answer 38

Mathematical statement which is true for all values of a variable or set of variables

Question 39

2 trig identities

Answer 39

tanx = sinx / cosx
sin²x + cos²x =1

Question 40

3 equations for the nth term of a quadtratic

Answer 40

2a
3a+b
a+b+c

Question 41

What does a..
Reciprocal
Linear
Quadratic
Cubic
graph look like?

Answer 41

Two curved lines that don’t touch the axis in opposite quadrants
Straight line
U-shape
Crosses the x-axis three times

Question 42

Equation of a circle centre 0
Centre of a circle?

Answer 42

x²+y²=r²
Negative of the two brackets, e.g (x+6) + (y+2)—> centre: (-6,-2)

Question 43

Transformations of graphs
y=f(x+a) ?
y=f(x)+b ?
y=f(-x) ?
y=-f(x) ?
y=f(ax) ?
y=af(x) ?

Answer 43

Opposite, x co-ord moves
Exactly what it says, y co-ord moves
Reflection, x co-ord moves
Reflection, y co-ord moves
Opposite, x co-ord is divided
Exactly what it says, y co-ord is timesed

Question 44

Binomial expansion
Rows of Pascal’s triangle?

Answer 44

First row = brackets to power of 0
Second row = brackets to power of 1
Third row = brackets to power of 2