Data Analysis
What percentage of scores lie below the upper quartile?
75%
What is the gradient of the line: y = -4x - 9
m = -4
Which is the greatest: 5% of $460 OR 9% of $250
5% of $460 = $23
m3 x m4 =
m7
The longest side in a right angled triangle is called?
hypotenuse
Calculate the mean: 12, 17, 23, 28, 25
21
Which line is the steepest:
y=-2x+3 y=2x+7 y=-3x-8
y=-3x-8
Bill gets a 10% discount off a $42.50 shirt. How much does he pay?
$42.50 - $4.25 = $38.25
(3a4b2)3 =
27a12b6
In SOH CAH TOA, what does TOA mean?
Tan of angle = Opposite side / Adjacent side
Difference between the mode and range of: 32, 35, 12, 48, 53, 32, 88, 68, 24
76 - 32 = 44
Find the distance from (0,0) to (3,4)
d = 5 units
Jill buys a new $2400 computer on the following terms. 25% deposit and monthly payments of $85 for 2 years. How much does she end up paying?
25% x 2400 + 24 x $85 = $2640
Simplify the surd: square root of 48
4 square root 3
Three sides of a triangle are 8cm, 15cm & 17cm. Using calculations, prove the triangle is right angled or not.
YES the 3 numbers work for Pythagoras' Theorem: 82 + 152 = 172
Find the IQR of: 4, 7, 8, 11, 13, 15, 18, 20
IQR = 9
M(2, 5) is the midpoint of P(-1, -3) and Q(?, ?). Find the coordinates of Q.
Q (5, 13)
Using the simple interest formula, I = Prn, find the interest on $5000 at 9%p.a. over 4 years.
I = $1800
Simplify: square root of 50 + square root of 32
9 square root 2
A right angled triangle ABC has sides AB=6cm and BC =9cm, find angle CAB (angle B is right angle)
56 degrees
Two points on a scatterplot are (23, 67) and (31, 91). Find the equation of the line of best fit that passes through these 2 points.
y - 67 = 3( x - 23)
y = 3x - 2
Find the equation of the line parallel to y=3x+8 and through (4, -6)
y - -6 = 3(x - 4)
y = 3x - 18
Given FV = PV(1+r)n, find the future value (FV) of $5200 invested at 8% p.a. over 4 years, compounded yearly (nearerst $)
FV = 5200(1.08)4 = $7075
Evaluate without a calculator: 25-1/2
(25 to the power of negative one half)
1/5 (one fifth)
A non right-angled triangle ABC has an area of 588. If AC =42 and angle C is 30 degrees, find BC. (Area=1/2abSinC)
BC = 28