Basic formulae to know

Question 1

What is the equation for a straight line graph?

Answer 1

y=mx+c

Question 2

What is 12²?

Answer 2

144

Question 3

What is 13²?

Answer 3

169

Question 4

What is 14²?

Answer 4

196

Question 5

What is 15²?

Answer 5

225

Question 6

What is 1.2²?

Answer 6

1.44

Question 7

What is 1.3²?

Answer 7

1.69

Question 8

What is 1.4²?

Answer 8

1.96

Question 9

What is 1.5²?

Answer 9

2.25

Question 10

What is √2?

Answer 10

1.41

Question 11

What is √3?

Answer 11

1.73

Question 12

What is √pi?

Answer 12

1.77

Question 13

What is the area of a non-right-angled triangle?

Answer 13

1/2 ab sinC

Question 14

What is the area of a right angled triangle?

Answer 14

1/2 b x h

Question 15

What is the area of a circle?

Answer 15

πr²

Question 16

What is the circumference of a circle?

Answer 16

2πr²

Question 17

What is the volume of a cube with sides of length a?

Answer 17

a³

Question 18

What is the area of a trapezium? (top side length a, bottom side length b, left side c, right side d)

Answer 18

(a+b)
——- h
2

Question 19

What is the area of a parallelogram?

Answer 19

b x h

Question 20

What is the volume of a sphere?

Answer 20

4/3 πr²

Question 21

What is the volume of a cylinder?

Answer 21

πr² x l

Question 22

What is the volume of a cone?

Answer 22

1/3 πr² h

Question 23

What is the curved surface of the cone?

Answer 23

πrL

where L is the length of the curved surface

Question 24

What is the volume of a square based pyramid?

Answer 24

1/3 × (w x d) × h

Question 25

What is the formula for a reciprocal curve on a graph?

Answer 25

y = 1/x

Question 26

a^0 = ?

Answer 26

1

Question 27

a^1 = ?

Answer 27

a

Question 28

a^m x a^n = ?

Answer 28

a^(m+n)

Question 29

a^m / a^n = ?

Answer 29

a^(m-n)

Question 30

(a^m)^n

Answer 30

a^mn

Question 31

a^(1/n)

Answer 31

^n√a

Question 32

What is the inverse of the exponential function?

Answer 32

The logarithmic function is the inverse of the exponential function.

Question 33

Through what line on a graph does the exponential function reflect into the logarithmic function?

Answer 33

The logarithmic and exponential functions are reflections through the line y=x

Question 34

log(base a)a =

Answer 34

log(base a)a = 1

Question 35

log(base a)m^k

Answer 35

klog(base a)m

Question 36

log(base a)(MN)

Answer 36

log(base a)M + log(base a)N

Question 37

log(base a)(M/N)

Answer 37

log(base a)M - log(base a)N

Question 38

10^(log(base10)^m

Answer 38

m

Question 39

What is the dependent variable?

Answer 39

The dependent variable is the one you measure

Question 40

What is the independent variable?

Answer 40

The independent variable is the one you change

Question 41

What is a nominal variable?

Answer 41

Nominal variables have a type. (eg hair colour)

Question 42

What is a dichotomous variable?

Answer 42

Dichotomous variable has only two types. (eg yes or no, males vs females)

Question 43

What is an ordinal variable?

Answer 43

An ordinal variable is a categorical variable that has order

Question 44

What is an interval variable?

Answer 44

Variables with a set number difference between them

Question 45

What is a ratio variable?

Answer 45

Continuous numerical values but where 0 means there is none (eg height, mass or distance)

Question 46

What are controlled variables?

Answer 46

Quantities that are kept constant.