Quadratics
What is the general form of the quadratic equation?
y=ax2+bx+c
What does the word 'mean' mean?
The average (sum of values divided by number of values)
What is the probability of rolling a 3 on a fair six-sided die?
1/6
What is sin30∘?
1/2
Factorise x2+5x+6
(x+2)(x+3)
Find the median of the dataset: 3, 7, 8, 12, 15
8
A coin is flipped twice. What is the probability of getting two heads?
1/4
Determine the angle when sin(x)=1/2
30
What are the values of x in x2-4x-5=0
x=5, -1
A data set has a mean of 20 and a total of 5 values. What is the sum of the values?
100
A bag contains 3 red and 2 green balls. If one ball is drawn at random, what is the probability it is green?
2/5
A right triangle has an angle of 45∘ and a hypotenuse of 10. Find the length of the opposite side.
5 sqrt(2)
A parabola has x-intercepts at x=-2 and x=3. What is the equation of this graph?
y=(x+2)(x-3) or y=x2-x-6
Explain the difference between a boxplot and a histogram.
Boxplot shows quartiles and spread; histogram shows frequency distribution.
Two dice are rolled. What is the probability that the sum is 8?
5/36
A ship sails 10km north then 15km east. What is the bearing from the starting point?
056°
The turning point of a parabola is at (2, -3) and it passes through (0,5). What is its equation?
y=2(x-2)2-3
IQR=33.5-25.5 = 8
A card is drawn from a standard deck. What is the probability it is either a heart or a king?
16/52 or 4/13
A triangle has sides a=8, b=10, and angle C=60∘. Find the length of side c using the cosine rule.
sqrt(84) or 9.17