Samantha requires 3 As at A Level to be accepted onto a University course. Samantha is accepted onto the University course, therefore she must have achieved 3 As at A Level.
Which of the following statements most closely follows the reasoning used in this paragraph?

Today the NHS is increasingly struggling to be financially viable. In the future, the NHS may have to reduce the services it cannot afford. The NHS is supported by government funds, which come from those who pay tax in the UK. Recently the NHS has been criticised for allowing fertility treatments to be free, as many people believe these are not important and should not be paid for when there is not enough money to pay the doctors and nurses.
Which of the following is the most accurate conclusion of the statement above?

‘We should allow people to drive as fast as they want. By allowing drivers to drive at fast speeds, through natural selection the most dangerous drivers will kill only themselves in car accidents. These people will not have children, hence only safe people will reproduce and eventually the population will only consist of safe drivers.’
Which one of the following, if true, most weakens the above argument?

Sadly the way in which children interact with each other has changed over the years. Where once children used to play sports and games together in the street, they now sit alone in their rooms on the computer playing games on the Internet. Where in the past young children learned human interaction from active games with their friends this is no longer the case. How then, when these children are grown up, will they be able to socially interact with their colleagues?
Which one of the following is the conclusion of the above statement?

In the winter of 2014 the UK suffered record levels of rainfall, which led to catastrophic damage across the country. Thousands of homes were damaged and even destroyed, leaving many homeless in the chaos that followed. The Government faced harsh criticism that they had failed to adequately prepare the country for the extreme weather. In such cases the Government assesses the likelihood of such events happening in the future and balances against the cost of advance measures to reduce the impact should they occur versus the cost of the event with no preparative defences in place.

Until recently, for example, the risk of acts of terror taking was low compared with the vast cost anticipated should they occur. However, the risk of flooding is usually low, so it could be argued that the costs associated with anti-flooding measures would have been pre-emptively unreasonable. Should the Government be expected to prepare for every conceivable threat that could come to pass? Are we to put in place expensive measures against a seismic event as well as a possible extraterrestrial invasion?

Which of the following best expresses the main conclusion of the statement above?

Between 2006 and 2013 the British government spent £473 million on Tamiflu antiviral drugs in preparation for a flu pandemic, despite there being little evidence to support the effectiveness of the drug. The antivirals were stockpiled for a flu pandemic that never fully materialised. Only 150,000 packs were used during the swine flu episode in 2009, and it is unclear if this improved outcomes. Therefore this money could have been much better spent on drugs that would actually benefit patients.

Which option best summarises the author’s view in the passage?

As people are living longer, care in old age is becoming a larger burden. Many people require carers to come into their home numerous times a day or need full residential care. It is not right that the NHS should be spending vast funds on the care of people who are sufficiently wealthy to fund their own care. Some argue that they want their savings kept to give to their children; however this is not a right, simply a luxury. It is not right that people should be saving and depriving themselves of necessary care, or worse, making the NHS pay the bill, so they have money to pass on to their offspring. People need to realise that there is a financial cost to living longer.

Which of the following statements is the main conclusion of the above passage?

There is much interest in research surrounding production of human stem cells from non-embryo sources for potential regenerative medicine, and a huge financial and personal gain at stake. In January 2014, a team from Japan published two papers in Nature that claimed to have developed totipotent stem cells from adult mouse cells by exposure to an acidic environment. However, there has since been much controversy surrounding these papers. Problems included: inability by other teams to replicate the results of the experiment, an insufficient protocol described in the paper and issues with images in one of the papers. It was dishonest of the researchers to publish the papers with such problems, and a requirement of a paper is a sufficiently detailed protocol, so that another group could replicate the experiment.

Which of the following statements is most implied?

The placebo effect is a well-documented medical phenomenon in which a patient’s condition undergoes improvement after being given an ineffectual treatment that they believe to be a genuine treatment. It is frequently used as a control during trials of new drugs/procedures, with the effect of the drug being compared to the effect of a placebo, and if the drug does not have a greater effect than the placebo, then it is classed as ineffective. However, this analysis discounts the fact that the drug treatment still has more of a positive effect than no action, and so we are clearly missing out on the potential to improve certain patient conditions. It follows that where there is a demonstrated placebo effect, but treatments are ineffective, we should still give treatments, as there will therefore be some benefit to the patient.

Which of the following best expresses the main conclusion of this passage?

The speed limit on motorways and dual carriageways has been 70 mph since 1965, but this is an out-dated policy and needs to change. Since 1965, car brakes have become much more effective, and many safety features have been introduced into cars, such as seatbelts (which are now compulsory to wear), crumple zones and airbags. Therefore, it is clear that cars no longer need to be restricted to 70 mph, and the speed limit can be safely increased to 80 mph without causing more road fatalities.

Which of the following best illustrates an assumption in this passage?

A child's bus fare is cheaper than the adult fare but is more than half the adult fare. The total cost of a single journey for an adult and two children is £1.20. Adult fares are all multiples of 10 p.

What is the adult fare?

Steven has a customised motorcycle that he is very proud of and shows regularly in competitions. It is very important to him that his presentation is perfect and he likes to stop in front of the judges with both his tyre valves in the same position. The front tyre is smaller than the rear to aid its handling. The circumference of the front wheel is 2m and the circumference of the rear wheel is 2.5m. Steven starts with both valves in the same position at the bottom of each wheel. How far must he drive before the valves line up again at the bottom of each wheel?

I have so many four digit code numbers to remember that I cannot keep them all in my head. The banks say you should not write down your Personal Identification Numbers (PINs) for cash and credit cards and keep them in a wallet with the cards. So I can find out what the numbers are, I have devised a code which should be complicated enough to confuse any thief who steals my wallet. I code all the numbers using 1=A, 2=B up to 9=I, 0=J. Then I write the coded numbers down backwards so 1234 is written DCBA. Finally at the end of each coded number I add an extra letter between A and J to say what that particular code is of: C is for credit card; F is for phone card; B is for bicycle lock combination; E is for my Eastern Bank card and D is for my Denton Building Society card. My list looks as follows:

The drawing shows a sculpture as seen from above. Which could not be a view from one of the sides?

Pierre and Marc are waiters. In one particular month, Pierre worked 30 sessions at the normal rate and 10 sessions at the overtime rate. Marc worked 20 sessions at the normal rate and 5 sessions at the overtime rate. At the end of this month, Pierre earned 700 euros. Marc earned 425 euro.

What is the overtime rate per session?

Aygerim, Almaz, Yerkezhan, Kaisar and Madina are going for a drive in a jeep that has five seats, including one driver’s seat and four passenger seats. If only Almaz can drive, the number of possible different seating arrangements is

A cube is inscribed in a sphere of radius 3. The volume of the cube is

The volume and the surface area of a cube are equal. The length of an edge of this cube will be

On Aigerim’s 18th birthday in 2012, she was 159 cm in height, having grown 6% since her birthday in 2011. How tall was she in 2011?

An icosagon is any polygon with twenty sides and twenty angles. The sum of all the interior angles of a regular icosagon is

A cone is inscribed in a hemisphere of radius 𝑟 so that the base of the cone coincides with the base of the hemisphere. The ratio of the volume of the cone to the volume of the hemisphere is given by

A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x+1.
Which of the following could be the length of the other side?

A 3 by 4 rectangle is inscribed in a circle. The circumference of the circle is

In the diagram below, which of the following could be a value of x? ///////фото есть

The number of degrees that the hour hand of a clock moves through between noon and 2.30
in the afternoon of the same day is

Assume that every 6-digit number is positive telephone number except those that begin with 0 or 1. What fraction of telephone numbers begin with 3 and end with 5?

A lighthouse emits a light which can be seen for 60 miles in all directions. If the intensity of the light is strengthened so that its visibility is increased by 40 miles in all directions, by approximately how many square miles is its region of visibility increased?

When the positive integer n is divided by 9, the remainder is 5. When 𝑛 + 29 is divided by 9, what is the remainder?

15. 11 + 22 + 33 + 44 + 55 = 759
In order to obtain a correct equation it is permitted to multiply any 5 numbers on the left hand side of the equation by 10. For example, 110 + 22 + 33 + 44 + 550 = 759. How many different ways of making the equation above correct are there?

In a sequence the first term is 1 and each term is twice the previous term plus one. Find the sum of the first five terms of the given sequence.