Two-Way Tables
1. The two-way table shows the age and sex of a sample of 50 pupils in a school.
Boys
Girls
Total
11 years old
12 years old
13 years old
14 years old
15 years old
16 years old
4
2
6
3
5
8
6
3
9
2
6
8
5
4
9
4
6
10
Total
24
26
50
a) How many pupils are aged 13 years or less?
b) What percentage of the pupils in the table are 16?
c) A pupil from the table is selected at random. What is the probability that the pupil will be 14 years
of age? Give your answer as a fraction in its lowest form.
2. Jane has two four-sided spinners. One has the numbers 1 to 4, and
the other has the numbers 5 to 8. Both spinners are spun together.
The two-way table below shows all the way the two spinners can land.
Some of the total scores are filled in.
Spinner A
Spinner B
1
6
7
5
6
7
8
2
7
3
4
a) Complete the table to show all the possible total scores.
b) How many of the total scores are 9?
c) When the two spinners are spun together, what is the probability that the total score will be:
i) 9?
ii) 8?
iii) a prime number?
3. 80 Year 12 students each study one Science. The table shows some information about these
students.
Female
Male
Total
Biology
18
Chemistry
Physics
21
19
33
Total
47
80
a) Complete the two-way table.
b) One of the students is picked at random. What is the probability that this student studies Physics?
c) What percentage of girls studies Biology? Give your answer to 1 decimal place.
4. 80 students each study one of three languages. The two-way table shows some information about
these students.
Female
Male
Total
French
15
31
German
17
28
Spanish
Total
39
41
80
a) Complete the two-way table.
b) What percentage of female students study Spanish? Give your answer to 1 decimal place.
I pick a student at random. What is the probability that I pick:
c) a male student?
d) a student who studies German?
e) a male student who studies German?