Number of Boys and Girls
Maybury School has 4 classes of girls and boys.
Here is a table showing the number of packed lunches and school
dinners eaten by Class 4 in a week. Some of the numbers are
missing. Copy the table and fill in the missing numbers.
Monday
Packed Lunch
14
School Dinner
16
Total
Tuesday
Wednesday
Thursday
20
14
17
30
Friday
10
29
27
30
There are different numbers of boys and girls in the school.
Design a two-way table to record the number of girls and boys
in each class. Use these clues to find the number of boys and
girls in each class:










There are a total of 114 children in the school.
There are 14 girls in Class 2.
Class 4 has twice as many girls as Class 2.
No class has the same number of children.
There are 52 boys in the school in total.
In Class 1 there are half as many boys as in Class 2.
In Class 2 there are a total of 30 children.
In Class 3 there are an equal number of girls and boys.
In Class 4 there are 10 boys.
The number of boys and girls in the school are different.
There are more than 30 pupils in class 4
What if 3 girls joined class 2?
What clues would need to be changed?
answers
This exercise is to check that the pupils understand how to read and
interpret two way tables.
Monday
Tuesday
Wednesday
Thursday
Friday
Packed Lunch
14
13
20
14
20
School Dinner
16
17
9
13
10
Total
30
30
29
27
30
A similar table is helpful to compile information derived from the clues
Class 1
Class 2
Class 3
Class 4
Total
Number of Girls
Number of Boys
Total
Some clues allow data to be entered directly into the table:




There are a total of 114 children in the school.
There are 14 girls in Class 2.
There are 52 boys in the school in total.
In Class 2 there are a total of 30 children.
In Class 4 there are 10 boys.
Some clues require deduction and/or calculations based on the totals
vertically or horizontally:


Class 4 has twice as many girls as Class 2.
In Class 1 there are half as many boys as in Class 2.
In Class 3 there are an equal number of girls and boys.
Some clues are only useful as a check of the final answers:


No class has the same number of children.
The number of boys and girls in the school are different.
There are more than 30 pupils in class 4.
The final table is:-
Class 1
Class 2
Class 3
Class 4
Total
Number of Girls
2
14
18
28
62
Number of Boys
8
16
18
10
52
10
30
36
38
114
Total