Higher

Question 1

Volume of a pyramid

Answer 1

1/3 x area of base x height

Question 2

Quadratic formula

Answer 2

X = (-b ± √b^2 - 4ac) / 2a

Question 3

The sine rule (sides)

Answer 3

a/SinA = b/SinB = c/SinC

Question 4

The sine rule (angles)

Answer 4

SinA/a = SinB/b = SinC/c

Question 5

What do you need to be able to use the sine rule

Answer 5

2 opposite pairs of side+angle

Question 6

The Cosine rule (sides)

Answer 6

a^2 = b^2 + c^2 - 2bcCosA

Question 7

The Cosine rule (angles)

Answer 7

CosA = (b^2 + c^2 - a^2) / 2bc

Question 8

Area of a triangle using sine

Answer 8

1/2abSinC

Question 9

Area of a sector

Answer 9

∏r^2 x (theta / 360)

Question 10

Arc length

Answer 10

Πd x (theta / 360)

Question 11

What is theta?

Answer 11

Angle in the sector

Question 12

Direct proportion

Answer 12

x = ky^n (where x is directly proportional to y^n)

Question 13

Inverse proportion

Answer 13

where x is directly proportional to y^n,

x = k/y^n

Question 14

Frequency density formula - rearrangeable

Answer 14

Frequency density = frequency / class width

Question 15

Equation of a straight line

Answer 15

y = mx + c

Question 16

What does ‘c’ represent in y = mx + c

Answer 16

Y-intercept

Question 17

What does ‘m’ represent in y = mx + c

Answer 17

Gradient

Question 18

Gradient of a line

Answer 18

∆y / ∆x | rise / run | change in y / change in x

Question 19

Gradient of a line

Answer 19

∆y / ∆x | change in y / change in x | rise / run

Question 20

Perpendicular gradients

Answer 20

-(1/m)

Question 21

What are perpendicular gradients

Answer 21

A perpendicular gradient is the reciprocal of the gradient.