This is a timed quiz.
You have 1 hour 10 minutes to complete the 35 questions in this quiz.
The graphs below show how the speeds of four different cars (P, Q, R and S) vary with time over a period of 10 seconds.
Which two cars travel the same distance in the 10 seconds?
P and Q
P and R
Q and S
R and S
Oakley is west of Carson, which is west of Newton. Earith is east of Carson and west of Wembourne.
Wembourne must be east of
Carson, but not necessarily east of Oakley or Newton.
Newton, but not necessarily east of Carson or Oakley.
Carson and Oakley, but not necessarily east of Newton.
Oakley and Newton, but not necessarily east of Carson.
Carson, Oakley and Newton.
A taxi company’s fares consist of a flat rate for picking up a passenger plus a rate for each kilometre travelled.
It costs John £4 to go to the station, a distance of 5 km, and £3.20 to go to the town centre, a distance of 3 km.
How much would it cost him to go to the supermarket, a distance of 6 km?
The graph below shows how the flow rate in millilitres per second of fluid from a syringe into a patient’s blood varies with time.
The area marked X on the graph is twice as large as the area marked Y on the graph.
Which, if any, of the following statements must be true?
1. The rate of fluid flow after three seconds is half what it is after one second.
2. The average rate of fluid flow is twice as great between one and two seconds as it is
between three and four seconds.
3. The flow rate increases twice as rapidly between one and two seconds as it does
between three and four seconds.
None of them
Every branchiopod is a crustacean and every crustacean is an arthropod. No insect is a crustacean.
Which two of the following statements must be true?
1. Every branchiopod is an arthropod.
2. No insect is an arthropod.
3. No branchiopod is an insect.
4. Some crustaceans are insects.
1 and 2
1 and 3
2 and 4
3 and 4
The graph below shows the percentage of young women intending to vote at the next election compared with the figure for all ages of men and women.
Which of the following statements can be deduced from the information provided?
1. Women are more likely to vote as they get older.
2. Women are less likely to vote than men.
3. Women are less likely to vote than at the last election.
1 and 2 only
2 and 3 only
1 and 3 only
all of them
none of them
The speed limit on motorways in the UK should be raised from 70 mph to 80 mph. The majority of drivers consistently break the current speed limit – and without penalty, as the police are unable to enforce the speed limit in all cases. There is no evidence to suggest that driving at 80 mph is more dangerous than driving at 70 mph. If the speed limit were raised, the police could devote more time to dealing with other crimes.
Which one of the following, if true, most weakens the above argument?
Many drivers choose to drive at less than 70 mph.
Modern cars are capable of speeds far in excess of 80 mph.
Driving at 80 mph uses more fuel than driving at 70 mph.
With a speed limit of 80 mph, more drivers would drive between 80 and 90 mph.
A government study suggested that courses in adult education should be subsidised because they contribute to the economy, raise skills and improve job opportunities. However, where an adult education course is purely for leisure there is no case for subsidy. Therefore subsidies for courses which are purely for leisure should be abandoned.
Which one of the following is an underlying assumption of the above argument?
Unemployment figures are showing an upward trend.
Large numbers of adults will attend these courses.
There are enough teachers for the courses which would be subsidised.
Adults attending these courses will be able to upgrade their jobs if they pass the examinations.
Courses which are purely for leisure cannot be economically useful.
The bar chart below shows the reasons for people visiting their family doctors over a 12-month period to the nearest 5%. The chart shows the percentage of consultations due to each problem separately for men and women. The total annual consultation rates are 5 000 per 10 000 men and 6 000 per 10 000 women. The proportion of men and women in the population may be assumed to be the same.
For both men and women, how many consultations per 10 000 per year are there for
Which problems do men suffer from more than women by actual number of consultations?
Respiratory and nervous and sense organ problems
Nervous and sense organs problems and infectious or parasitic illnesses
Skin and musculoskeletal system problems
Musculoskeletal system and respiratory problems
Injury and poisoning and skin problems
Infectious or parasitic illness and injury and poisoning
The table here is based on the information provided by the chart from the Questions 9 and 10.
Which one of the columns below correctly shows the number of consultations by women
per 10 000 per year for each problem?
Refer to the same chart provided by Questions 9 and 10.
In which of the following pie charts is the proportion of consultations by disease for men correctly shown?
A man is 2 m tall. He treads barefoot on a drawing pin. Nervous impulses travel from his foot to his brain via fast and slow nerve paths. In the fast paths, the impulse velocity is 200 metres per second (m/s); in the slow paths, it is 50 m/s.
What is the time gap in milliseconds between the arrival of the two sets of impulses at the brain?
If someone is suffering from influenza, they may have a sore throat or blocked nasal passages. Some, but not all, influenza sufferers with a sore throat also have blocked nasal passages. Some, but not all, influenza sufferers with blocked nasal passages also have a sore throat.
Which one of the options, A to F, correctly lists the following statements in order of their probabilities, giving the least likely first?
1. Someone suffering from influenza will have a sore throat.
2. Someone suffering from influenza will have a sore throat and blocked nasal passages.
3. Someone suffering from influenza will have a sore throat or blocked nasal passages.
1, 2, 3
1, 3, 2
2, 1, 3
2, 3, 1
3, 1, 2
3, 2, 1
A score board has to be able to show any score from 0 to 650. The score is shown by hanging plates on three hooks, each plate having a number painted on it on one side only (6 and 9 are not interchangeable). In the diagram below, the score shown is 60.
How many plates are necessary to show any score from 0 to 650?
Two buses, the Zipper and the Metbus, each pass my stop hourly, and I can catch either one. I have no regular times for travelling and I can never remember the bus times. I just go to the stop and catch the first bus that comes along. Yet I discover that, over the year, the Zipper is more likely to come along first than the Metbus.
The Zipper passes the stop at z minutes past every hour and the Metbus passes at m minutes past. If the Zipper passes the stop in the first half of the hour, which one of the following would explain the higher probability of the Zipper coming along first?
z > m
m > 30
z/m < 10
0 < (m-z) < 30
0 < (m-z) < 60
In order to succeed in academic examinations it is necessary to study hard. Therefore, if a student studies hard in a particular subject, that student should succeed in examinations in that subject.
Which one of the following is the best statement of the flaw in the above argument?
It assumes that students must study hard in order to succeed.
It overestimates the value of studying in preparation for examinations.
It ignores the fact that some examinations are more difficult than others.
It assumes that studying hard is a sufficient condition for academic success.
It ignores the fact that some students do not need to study hard in order to succeed.
The 400 seats in a parliament are divided amongst five political parties. No two parties have the same number of seats, and each has at least 20.
What is the largest number of seats that the third largest party can have?
Four passengers, Ann, Bo, Cal and Dee have booked seats at one table on a train. Bo arrives first and sits in the seat reserved by Ann. Dee arrives next and sits diagonally opposite Bo. Ann arrives and insists on sitting in her reserved seat because she doesn’t like facing backwards. She does so, and Bo moves to one of the other seats. Cal arrives just as the train is about to start and sits in the remaining seat.
Which of the following could show how the four passengers were sitting when the train started? (The arrows indicate the direction of travel.)
Over the past 100 years there has been a rise in global average temperatures of 0.5 °C. Because of this phenomenon of ‘global warming’, all coastal defences built in the future to protect Britain’s most vulnerable regions from flooding should be of a different design to those currently employed, in order to allow for an annual increase in the sea level.
Which of the following are underlying assumptions of the above argument?
1. Global warming is likely to cause a rise in sea levels.
2. The trend of global warming is likely to continue.
3. Current coastal defences are likely to prove ineffective against rising sea levels.
1, 2 and 3
Questions 21–24 refer to the following information.
A company making surgical appliances has premises on both sides of a street. The administrative offices are on the South side and the production unit is on the North side. Because of lack of office space, they decide to move the Technical Sales Consultant from the South side to the North side. The Warehouseman, who is a bit of a comedian, comments that this will cause the average salary to rise on both sides of the street and the average intelligence (IQ) to fall on both sides of the street.
The employees’ salaries and IQs are shown in the table below (in their positions before the move).
What is the average IQ on the South side of the road after the Technical Sales Consultant’s move?
By how much will the average salary on the North side of the road rise after the Technical Sales Consultant’s move?
If all the salaries rise by 5% next year, what will the total salary bill be?
Refer to the information given by Questions 21 through 23. The following scatter chart shows a best fit line for salary plotted against IQ.
Whose salary is furthest below the best fit line?
A code is expressed as a line of five colours in a particular order. The colours can be chosen from the following list: red, blue, green, grey, black, yellow and orange. A colour may only be used once in a code. Colours with the same initial letter are not permitted in the same code.
The first attempt to reproduce ‘Code X’ was as follows:
1 red 2 green 3 blue 4 yellow 5 orange
It is known that 1, 2 and 4 are correct and that 3 and 5 are incorrect.
Which one of the following attempts at Code X may be correct?
1 red 2 green 3 black 4 yellow 5 orange
1 red 2 green 3 blue 4 yellow 5 grey
1 red 2 green 3 orange 4 yellow 5 black
1 red 2 green 3 orange 4 yellow 5 grey
Several large-scale trials have shown, at a very high level of statistical significance, that those who take no alcoholic drinks are more likely to suffer from heart disease than those who drink moderate amounts of alcohol. The researchers have concluded that a moderate intake of alcoholic drinks protects the body against heart disease.
Which one of the following is a reason why this conclusion might be unsafe?
If enough trials are carried out, some will show statistical significance purely by chance.
Those people drinking no alcohol may have other factors in their diet or lifestyle which increase their susceptibility to heart disease.
A significant number of people refuse to answer questions about alcohol consumption.
Byproducts of alcohol production, not alcohol itself, may be the reason for the protection against heart disease.
In a class of 30 students all must study at least one language but no more than three languages. 70% study French, 40% study German, 20% study Spanish and 10% Italian.
Which of the following statements must be true?
1. At least 3 study both French and German.
2. No more than 12 study French and German.
3. At least 9 do not study either French or German.
2 and 3
Methods of financing health services in advanced industrial countries have little effect, statistically speaking, on the health of the population. There are countries that spend six times as much per head on healthcare as the UK, and countries that spend only half as much: their populations end up with more or less the same life expectancy. Therefore, arguments about levels of financing the UK’s National Health Service are largely irrelevant to the health of the population.
The cost of the UK’s health service is disproportionate to its effectiveness.
Spending is the most effective way of improving a health service.
Advanced industrial countries have failed to improve the health of their inhabitants.
Governments have a responsibility to organise efficient healthcare services.
Life expectancy is a reliable measure of the health of the population.
An allowance is reduced by 20%. The next year it is again reduced, by 25%.
By what percentage (to the nearest whole number) must the allowance now be increased to reach its original level?
Jay always shops at Goodstuff. Kay shops at Goodstuff on weekdays but at weekends she shops at Stockup. Lee always shops at Stockup for food but at Fresco for all other goods.
One of the three sees the other pair of shoppers coming out of one of the shops where they have both been buying food.
Which one of the following cannot be true?
It’s a weekday.
It’s a weekend and the shop is Stockup.
The shop is Goodstuff and one of the pair of shoppers is Kay.
It’s a weekend and the shop is Goodstuff.
It’s a weekend and neither of the pair of shoppers is Jay.
Over a period of time, a doctor has appointments with 2 400 different patients. 40% of the patients are male, and 70% of the female patients are 50 years of age or over. On average, 1 in 20 of all patients cancels an appointment.
Assuming all patients are equally likely to cancel their appointments, what is the most likely number of female patients less than 50 years old who cancel? (To the nearest whole number.)
Questions 32–35 refer to the following information.
Which one of the following statements may we safely conclude to be accurate?
Smoking cannabis is less harmful than smoking tobacco because it occurs less frequently.
Smoking cannabis is equally harmful to smoking tobacco because largely identical chemicals are produced.
Smoking cannabis is more harmful than smoking tobacco because the products of
combustion are retained to a higher degree.
Cannabis smokers often smoke tobacco, incurring harm produced by both.
The authors are suggesting that the dangers of smoking cannabis should be publicised
primarily because it is associated with mental illness.
primarily because of the danger to young people.
primarily because the effects of widespread use by younger people will appear
only in future.
primarily because of the extent of the public health risk.
Which of the following do NOT contribute to the difficulty in determining what damage to the heart and lungs is caused by smoking cannabis?
1. the fact that few people smoke cannabis
2. the varying potency of cannabis cigarettes
3. the appearance of effects from cannabis at a younger age
If the percentage annual rise between 1999 and 2001 were to continue, what percentage of all young people aged 14–15 might be expected to have tried cannabis by 2005?