MODEL SOLUTIONS
These model solutions are for Practice Test 2 from the Department of Education website.
You can access the full test here.
This page is still a work in progress, and more solutions will be added in due course. Please be patient as we do this, and hopefully you find the solutions already available helpful!
On-Screen Question 13
What proportion of the class have the same reading age as their actual age? Give your answer as a decimal to one decimal place.
On-Screen Question 14
Circle the pupil who has the greatest difference between their reading age and actual age.
On-Screen Question 15
What is the range of reading ages for pupils in the class?
(a) 13 months; (b) 19 months; (c) 21 months
On-Screen Question 16
What percentage of pupils in the school are having extra music lessons?
Give your answer to the nearest whole number.
On-Screen Question 17
There were 48 pupils in the year group.
The mean points score is given by the formula:
What was the mean points score for the year group?
Give your answer to the nearest whole number.
The total points for Levels 3 and 4 have been done for you.
On-Screen Question 18
She has been given details of costs and travel.
There are 25 in the group, including pupils and teachers.
A group booking for 25 theatre tickets costs £185.
Return train tickets cost £5.65 each.
How much will each person have to pay for the outing to cover the cost of travel and theatre ticket?
On-Screen Question 19
Tick all the true statements:
- The mean percentage of GCSE grades A* – C for the last 5 years of the chart was 51%.
- The percentage of GCSE grades A* – C increased each year from 2004 – 2011.
- The percentage of mathematics GCSE grades A* – C more than doubled from 2004 – 2011.
On-Screen Question 20
A teacher has a total of 24 appointments lasting 10 minutes each and takes a 20 minute break each evening. The teacher filled all the available appointment slots on the first evening and finished at 19:00.
What is the earliest time the teacher can expect to finish on the second evening?
Give your answer using the 24-hour clock.
On-Screen Question 21
Tick all the true statements:
- Some pupils in Class A achieved less than 12%.
- At least one pupil in Class C achieved less than 20%.
- All pupils in Class B achieved at least 40%.
On-Screen Question 22
Circle the letters in the table for the pupils who scored at least 10 percentage points more in Test 2 than in Test 1.
On-Screen Question 23
A teacher presented the following box-and-whisker diagram as part of a staff discussion on pupils’ performance. The diagram shows the percentage test marks in mathematics for a revision test for two class groups.
Tick all the true statements:
- The range of percentage marks was greatest in class A.
- The median percentage mark in Class A was 15 percentage points less than the median percentage in Class B.
- The interquartile range was the same in both classes.
On-Screen Question 24
Using the approximation of 5 miles equals 8 kilometres, what is the latest time that the coach should leave Brussels? Give your answer using the 24-hour clock.