The Advanced Numeracy Test Workbook - Mike Bryon [26]
All questions are multiple choice. You are required to select one of the suggested answers labelled A–D as the correct answer and record its letter of the alphabet in the answer box. Q8 has suggested answers A–E.
To do well in this test you will have to avoid spending too long on any one of these questions and work quickly. You will also have to sustain a high level of concentration over the full 40 minutes.
You should be able to answer these questions without a calculator but use as much scrap paper as you wish.
Work without interruption.
Do not turn the page until you are ready to begin the test.
Data set 1
In 1995 it was estimated that 1 in 50 Britons now in their mid-80s would live to age 100 or older. This figure is a result of improved nutrition and medical treatment which has improved for 1 in 16 for people in their mid-80s now (in 2010). Official figures showed this estimate for 2000 to be 1 in 25.
There were 9,296 people aged 100 or over in Britain in 2008; an increase of 1,000 on 2007, according to the Office for National Statistics (ONS).
The findings come just a month after ONS data showed that there were 1.005 pensioners for every child under 16.
In recent years there have been seven women for every man who have lived to age 100 or older, but this ratio is declining as male life expectancy is improving at a faster rate than that of women. The number of centenarians has increased by 5.4% a year since 2008 and this trend is expected to continue for the next five or more years.
Q1. How many more Britons in a cohort of 100,000 in their mid-80s in 2010 can be expected to live to age 100 or older than a cohort of 100,000 Britons in their mid-80s in 1995?
A 6,250
B 5,750
C 5,000
D 4,250
Answer
Q2. How many more women than men were aged 100 or older in 2007?
A 1,037
B 6,222
C 7,259
D 8,296
Answer
Q3. In percentage terms what was the increase in the number of centenarians between 2007 and 2008?
A Just over 12%
B Between 10 and 12%
C Above 5.4% but below 10%
D 5.4%
Answer
Q4. For every 100,000 children under the age of 16 how many more pensioners are there in 2010?
A 100,500
B 1,500
C 500
D Cannot tell
Answer
Q5. Which of the suggested answers is the best estimate of the number of Britons in their mid-80s in 1995?
A 516,350
B 464,800
C 92,960
D Cannot tell
Answer
Data set 2
Morning Tea
Market research findings relating to Morning Tea
Market A Market B
Competitor brands are winning Morning Tea’s market share Market leading brand
Price-sensitive market Sold at a premium price
Customers base their decision to buy almost entirely on price High level of customer loyalty (low level of brand switching)
Brand is sold at modest premium over competitors’ brands Customers perceive higher price to imply higher quality
Value of total sales of Morning Tea (000)
Market A
$120
$120.304
$119
$119.696
Market B
$20
$19
$18
$19
2005
2006
2007
2008
Units of Morning Tea sold into market A
Year
(000)
2004
58.3
2005
80
2006
82.4
2007
92.7
2008
93.9
Q6. If Morning Tea was to be sold without a premium over competitors’ products what would you expect to be the effect on the level of sales in the two markets?
A Market A and B would both increase
B Sales in market A would increase but B would remain the same
C Sales in market B would decrease but A would show no change
D Sales in market B would decrease but market A would increase
Answer
Q7. How many times bigger is market A than market B?
A 6.5
B 6.4
C 6.3
D 6.2
Answer
Q8. You were in a meeting with the finance director and he questioned one of the market research findings given below. Which one do you think he questioned?
A Morning Tea is sold at a premium in market B
B Competitor brands are winning Morning Tea’s market share in market A
C Market A is price sensitive
D Market B is the market leading brand
E Cannot tell
Answer
Q9. In market A for how much less did a unit of Morning