Linear graphs & coordinates / trigonometry/ surface area & volume/ sequences

Question 1

How do we calculate gradient?

Answer 1

y2 - y1/ x2 - x1 which is change in y/ change in x OR rise/run

Question 2

What is the equation of a straight line?

Answer 2

y=mx+c
m=gradient
C= y-intercept
Note: parallel lines have the same gradient

Question 3

How do we calculate sine?

Answer 3

Opposite / hypotenuse

Question 4

How do we calculate cosine?

Answer 4

Adjacent / hypotenuse

Question 5

How do we calculate tangent?

Answer 5

Opposite / adjacent

Question 6

How do we find angles on a calculator?

Answer 6

By using inverse functions (sine, cos, tan inverse)

Question 7

How do we calculate the volume of a cube or cuboid?

Answer 7

Volume = length x width x height.

Question 8

How to calculate the volume of a triangular prism?

Answer 8

Volume = 1/2 x base x height x length

Question 9

How to calculate the volume of a trapezium?

Answer 9

Area of cross - section= 1/2 (a+b) x height x length

Question 10

How do we calculate surface area?

Answer 10

By adding up the area of all faces of the shape.

Question 11

What is a linear sequence?

Answer 11

It goes up/down by the same amount. Eg: 2,4,6,8,10

Question 12

What is an nth term?

Answer 12

Rule for the sequence eg: 2n

Question 13

What is the Fibonacci sequence ?

Answer 13

Add previous terms to get the next one.

Question 14

What is volume of a cylinder

Answer 14

22/7r^2(h)