Cambridge International Mathematics

16 Assumed Knowledge (Geometry and graphs)

Type of fruit Frequency

Apple 20

Banana 24

Grapes 3

Orange 11

Mandarin 10

Nectarine 7

Pear 2

Peach 3

5 At a school, the year 11 students were asked to nominate their favourite

fruit. The following data was collected:

a How many year 11 students were there?

b What was the most popular fruit?

c What percentage of year 11 students choose mandarins as their

favourite fruit?

d The school canteen sells apples, bananas and pears. What

percentage of year 11 students will be able to order their favourite

fruit?

6 The table below displays the percentage of people with each blood type, categorised by country.

Blood Type

Austria 30% 7% 33% 8% 12% 3% 6% 1%

Canada 39% 7% 36% 7% 8% 1% 2% 1%

France 36% 6% 37% 7% 9% 1% 3% 1%

Hong Kong 40% 0 :3% 26% 0 :3% 27% 0 :2% 6% 0 :2%

South Korea 27% 0 :3% 34% 0 :3% 27% 0 :3% 11% 0 :1%

United Kingdom 37% 7% 35% 7% 8% 2% 3% 1%

USA 37% 7% 36% 6% 9% 1% 3% 1%

7

Age Total Crashes Fatalities

16 ¡ 24 73 645 243

25 ¡ 34 58 062 173

35 ¡ 44 49 600 123

45 ¡ 54 36 658 70

55 ¡ 64 19 833 58

65 ¡ 74 15 142 58

75 ¡ 84 7 275 45

85+ 937 9

The table shows car crashes by age group over a one year

period in an English county.

a Which age group has:

i the most crashes ii the least crashes?

b What percentage of crashes does the 55 - 64 age group

have compared with:

i the 16 - 24 age group ii all age groups?

Telling Statistics

Crashes by age

01020304050

5

10

distance (km)

time (minutes)

O+ O¡ A+ A¡ B+ B¡ AB+ AB¡

a What percentage of Canadians have type B+blood?

b In which countries is A+the most common blood type?

c Which of the countries listed has the highest percentage of population with type AB+blood?

d Which blood type is the fourth most common in the USA?

e In which country is B+more common than A+?

8 The graph alongside shows the distance June travels

on her morning jog. Use the graph to determine:

a the distance she jogs

b the time taken for her jog

c the distance travelled after 15 minutes

d the time taken to jog the first 6 km.

e the average speed for the whole distance.

IGCSE01

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