Formulas, Conversions and Things to Remember

Question 1

What is the Area for a Parallelogram?

Answer 1

Make sure the height is perpendicular

Question 2

What is the formula for area for a triangle?

Answer 2

Question 3

What is the formula for Area of a trapezium?

Answer 3

Question 4

Volume for Cuboid

Answer 4

Question 5

Volume for a prism

Answer 5

Question 6

Volume for cylinder

Answer 6

Question 7

Volume for Pyramid and Cone

Answer 7

Question 8

Volume for a Sphere

Answer 8

Question 9

How do you calculate circumference of a circle?

Answer 9

Circumference = Diameter * pi

Question 10

How do you calculate area of a circle?

Answer 10

Question 11

How do you calculate area of a sector & length of an Arc?

Answer 11

Question 12

How do you calculate the midpoint of two points?

Answer 12

Question 13

How do you calculate speed and Density?

Answer 13

Question 14

Quadratic Equation

Answer 14

Question 15

Equations for direct and Inverse porportion

Answer 15

Question 16

How do you find the LCM?

Answer 16

Question 17

How do you find the angle to draw in a sector?

Answer 17

Question 18

What are the angles in a polygon rule?

Answer 18

Question 19

How do you find the frequency for a group in a stratified sampe?

Answer 19

Question 20

Equation for compound Growth and Decay

Answer 20

Question 21

Equation for Trigonometric Formulae

Answer 21

Question 22

What are the exact trigonometric values for SIN

Answer 22

Question 23

What are the exact trigonometric values for Cos

Answer 23

Question 24

What are the exact trigonometric value for Tan

Answer 24

Question 25

Parallel line angle rules

Answer 25

Question 26

Parallelogram angle rules

Answer 26

There are six important properties of parallelograms to know:

Opposite sides are congruent (AB = DC).
Opposite angels are congruent (D = B).
Consecutive angles are supplementary (A + D = 180°).
If one angle is right, then all angles are right.
The diagonals of a parallelogram bisect each other.
Each diagonal of a parallelogram separates it into two congruent

Question 27

Trapezium angle rules?

Answer 27

Co-interior angles in a trapezium add to 180 because the lines are parallel

Question 28

What is the surface area for:

• The curved area in the cone
• The cone

Answer 28

The full surface area for a cone is
Curved surface area + area of circle

Question 29

What is the surface area for the cylinder?

Answer 29

Question 30

What is the surface area for a sphere?

Answer 30

Question 31

What are the rules for multiplying, dividing and putting brackets for indicies

Answer 31

Question 32

Laws of indicies

Answer 32

Question 33

Fractional indicies

Question 34

Fractional indicies

Answer 34

Question 35

Calculating with surds

Answer 35

Question 36

Adding surds

Answer 36

Question 37

What is the difference between mean, mode, range and median?

Answer 37

Question 38

Difference between Quadratic, cubic, reciprocal graphs

Answer 38

Question 39

What is 1m^2 to cm^2

Answer 39

Convert 5.2 m² into cm².

1 m² = 100 cm x 100 cm = 10,000 cm²

5.2×10,000=52,000 cm2

Question 40

What are the most common metric conversions for volume?

Answer 40

The most common metric unit conversions for volume are:

• 1 m³ = 1,000,000 cm³
• 1 cm³ = 1,000 mm³
• 1 l (litre) = 1,000 ml = 1000 cm³

Example

Convert 25,000 cm³ into (a) m³ and (b) litres.

(a) 1 m³ = 100 cm x 100 cm x 100 cm = 1,000,000 cm³

25,000÷1,000,000=0.025 m3

(b) 1l = 1000 cm³

25,000÷1,000=25 l.

Question 41

Inequalities in set notation where the both equations use AND

Answer 41

Question 42

Inequalities in set notation where the both equations use AND

Answer 42

Question 43

Inequalities in set notation where the both equations use OR

Answer 43

Question 44

How do you sketch the COSINE graph GCSE?

Answer 44

Question 45

How do you sketch the SINE graph?

Answer 45

Question 46

How do you sketch a tan graph?

Answer 46

Question 47

What do you have to remember when collecting data?

Answer 47

Question 48

How do you compared date?

Answer 48

For comparing averages:

(Insert Dataset) was (Insert comparative adjective) because (suitable pronoun) had a higher (Insert average)

For comparing distribution of spread:

(Insert dataset) had a more variation in the data because it has a larger range

Question 49

If a graph is going down

Answer 49

It has a negative correlation and vice versa

Question 50

It is unreliable to extrapolate beyond the data set

Answer 50

It is reliable to interpolate between the dataset

Question 51

Know the difference between solve and give the values that satisfy for inequalities

Question 52

What circle theorem would you use to figure this out?

Answer 52

The angle at the centre is twice the angle at the circumference

Question 53

What circle theorem would you use to figure this out?

Answer 53

Angles at the circumference in the same segment are equal?

Question 54

What circle theorem would you use to figure this out?

Answer 54

Opposite angles in a cyclic Quadrilateral add up to 180

Make sure when you check that all points are on the circumference

Question 55

What circle theorem would you use to figure this out?

Answer 55

Angle at the circumference of a semi-circle is 90

Question 56

What circle theorem would you use to figure this out?

Answer 56

The angle between a tangent and a radius is 90 degrees

Question 57

What circle theorem would you use to figure this out?

Answer 57

A radius bisects a chord at 90 degrees

Question 58

What circle theorem would you use to figure this out?

Answer 58

Alternate Segment Theory

Question 59

What Circle theorem would you use to figure this out?

Answer 59

Tangents to to a circle from the same point outside are equal

Question 60

What Circle theorem would you use to figure this out?

Answer 60

The line from outside the circle to the centre bisects the angle between the tangents

Angle POQ = POR