10MM Exam Revision

Quadratics

100

What is the general form of the quadratic equation?

y=ax²+bx+c

200

Factorise x²+5x+6

(x+2)(x+3)

300

What are the values of x in x²-4x-5=0

x=5, -1

400

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

500

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

Statistics

100

What does the word 'mean' mean?

The average (sum of values divided by number of values)

200

Find the median of the dataset: 3, 7, 8, 12, 15

8

300

A data set has a mean of 20 and a total of 5 values. What is the sum of the values?

100

400

Explain the difference between a boxplot and a histogram.

Boxplot shows quartiles and spread; histogram shows frequency distribution.

500

What is the IQR of the following data: 23, 25, 26, 28, 30, 32, 35, 38

IQR=33.5-25.5 = 8

Probability

100

What is the probability of rolling a 3 on a fair six-sided die?

1/6

200

A coin is flipped twice. What is the probability of getting two heads?

1/4

300

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

400

Two dice are rolled. What is the probability that the sum is 8?

5/36

500

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

Trigonometry

100

What is sin⁡30∘?

1/2

200

Determine the angle when sin(x)=1/2

30

300

A right triangle has an angle of 45∘ and a hypotenuse of 10. Find the length of the opposite side.

5 sqrt(2)

400

A ship sails 10km north then 15km east. What is the bearing from the starting point?

056° 

500

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