Formulae
y = mx + c
What is the equation of a straight line? (gradient-intercept form)
Write 32,000 in standard form
3.2 x 104
Simplify:
a2 x a5
a7
What is the shape of a linear function?
Straight line
Name two types of sampling
Random; Convenience; Systematic; Stratified; Quota
un = u1 + (n - 1)d
What is the formula for the nth term of an arithmetic sequence?
What is the nth term of the following sequence: 5, 8, 11, 14, ...
3n + 2
Simplify:
3b4 x 2b4
6b8
If a function has a gradient of 2, what would be the gradient of a perpendicular function?
-1/2
Find the mean:
12, 10, 13, 12, 15
un = u1rn-1
What is the formula for the nth term of a geometric sequence?
Find the sum of the first 5 numbers in the sequence 2n + 1
35
Simplify:
(3x)2
9x2
What is the turning point of the function: f(x) = x2 + 2x + 7
(-1, 6)
Find the median:
12, 15, 17, 13, 20
15
m = (y2 - y1) / (x2 - x1)
What is the gradient formula?
Lucy buys a truck for $15,000 which depreciates at an annual rate of 12%. After how many years has it halved in value?
6 years
Simplify:
(2p4)-2
1/4p8
x3 - 2x2 - 5x + 6 = 0
x = 1
x = 3
x = -2
A set of data has a mean of 3.4 and a standard deviation of 1.2. If 5 is added to each value, what is the new mean and standard deviation?
Mean: 8.4
Standard deviation: 1.2
FV = PV x (1 + r/100k)kn
What is the formula for compound interest?
Jack takes out a $30,000 loan from the bank at an interest rate of 5% p.a. compounding monthly. If he wants to pay this back in 10 years, how much should he pay?
$318.20
Simplify:
(125t6)-1/3
1/5t2
Find the intersection between:
f(x) = 3x + 2
g(x) = -5x + 1
(-0.125, 1.625)
What is a t-test?
A t-test is a statistical test used to find out if there is a real difference between the average values (means) of two groups.