Measurement
Convert 3.7m into millimetres.
3700 mm
What is the formula for the probability of an event?
P(event) = no. successful events / total outcomes
What is the median?
In an ordered set of data, the median is the middle data point.
Simplify: 3y +7y - y
9y
What is the gradient-intercept form for linear equations?
y = mx + c
What is the area of a rectangle of the dimensions: L = 3.3m, W = 4.2m.
13.86m
What is the Complement of an event?
The complement of an event is the set out outcomes where the event does not occur.
What is the mode of the following set of data?
15, 14, 16, 14, 15, 12, 16, 17, 16, 15, 17, 16
16
Solve: 15x - 6 = 24
x = 2
The gradient of the line, y = -5x +3
m = -5
A rectangle has an area of 50cm², given its length is twice its width, what is the perimeter?
30cm
What is the probability of pulling a blue ball from a box that contains 8 blue, 15 black and 9 green balls?
P(blue ball) = 8/32 = 1/4
Nick scored the following number of points in his last 8 games: 15 12 21 24 35 3 21 29
What is the mean of his scores?
20
Evaluate if a = 3, b = 5:
2a + b
11
For the equation, y = 4x + 5, find the value of y when x = 7
33
A cube has a surface area of 384cm². What is the volume of the cube?
512cm³
If there are 30 coins in a bag and the probability of pulling a red coin is 0.3, how many red coins can we expect to find in the bag?
9
What is skewness?
Skewness is a measurement of asymmetry - where data in the set falls more to the left or right of the centre.
An unknown number is multiplied by -4, then divided by 7 and that result is reduced by 3 which gives 9. What is the number?
(-4x/7) - 3 = 9
x = -21
Find the equation of the line that passes through the points (-4, -8) and (1, -3).
y = x - 4
A cylinder with a height of 20cm and a volume of 125x pi cm³, what is the radius of the cylinder?
2.5cm
What is the probability of randomly choosing from a deck of 52 playing cards a queen that is also a club or a spade?
P(queen of club OR Spade) = 2/52 = 1/26
If Adam’s mean score for English is 14 from the scores 10, 16, a, 8, 12, what is the value of a?
24
Chloe is 5 years older than Mia and Emma is triple Chloe’s age. Double the sum of Chloe’s and Mia’s ages is 1 more that Emma’s age. What are their ages now?
Mia 6 years, Chloe 11 years, Emma 33 years.
Find the length of the line segment that joins the points (-3, -4) and (3, -1).
6.71