Maths (Cambridge 0580 IGCSE)

Question 1

Mode

Answer 1

The value that appears most often

Question 2

Median

Answer 2

The middle value, the midpoint of the data when arranged in order.

Question 3

Mean

Answer 3

Add up all the data points and then divide by the total number of numbers

Question 4

Range

Answer 4

The difference between the largest and smallest number

Question 5

Lower quartile

Answer 5

The lower quartile is the 25% of the total frequency.

25% of the data on the y-axis

Question 6

Upper quartile

Answer 6

Upper quartile is 75% of the total frequency.

75% of the data in the y-axis

Question 7

Interquartile range (IQR)

Answer 7

The interquartile range is equal to the Upper quartile - lower quartile

IQR = UQ - LQ

Question 8

Frequency density

Answer 8

Frequency density = frequency ÷ class width

Question 9

Class width

Answer 9

E.g. class width of 0 < x < 20 is 20

(The difference of the first and second number given)

Question 10

Square roots of numbers up until 15

Answer 10

√1 =1
√4 =2
√9 =3
√16 =4
√25 =5
√36 =6
√49 =7
√64 =8
√81 =9
√100 =10
√121 =11
√144 =12
√169 =13
√196 =14
√225 =15

Question 11

Exact Trigonometric values

Answer 11

• Angle 0°

Sin0° = 0
Cos0° = 1
Tan0° = 0

• Angle 30°

Sin 30° = 1/2
Cos 30° = √3/2
Tan 30° = 1/√3

• Angle 45°

Sin 45° = √2/2
Cos 45° = √2/2
Tan 45° = 1

Angle 60°

Sin 60° = √3/2
Cos 60° = 1/2
Tan 60° = √3/3

Question 12

Alternative angle theorem