Home » IMAT Past Papers » IMAT Past Paper 2012 – Worked Solutions

## 1. C

The passage is mentioning how despite positive views on the development of road safety, these views may not be reflective of the actual situation. The conclusion thus needs to sum up these fact, the best option is thus C

## 2. A

The assumption in this passage is that smoke alarms will prevent fires (see video on assumptions to learn how to identify it). The idea that a smoke alarm would prevent a fire caused by arson is a questionable assumption, and thus the answer is A

## 3. B

The passage is talking about how nicotine alone (as found in nicotine gum) is not harmful in any way. A conclusion should thus focus on how it is safe to take nicotine gum. This best matches option B

## 4. C

The conclusion is the last sentence, which states that broadcasters should correct the way students are portrayed in film, particularly concerning age. This rests on the assumption that there is some value in representing the students ages correctly, which matches option C. You can also negate option C (which becomes “it is not important to represent school life accurately”) and this destroys the conclusion, which tells you it is the correct answer.

## 5. A

If water expands by 9% when it freezes and we want a frozen block of 40 cm3, then the frozen block will be 109% of the water we need to add. Take 40 divided by 1.09 and we get 36.7 cm3

## 6. D

Venn diagrams are useful for these types of questions, see the lesson on these types of questions. In the IMAT draw a basic Venn diagram as seen below. We know all Crannies are Dervies, and some but not all Bongles are Crannies. That means some Crannies must be Dervies (and potentially some Bongles could also not be Dervies). This instantly means option D is incorrect, as some Bongles must be Dervies.

## 7. E

She can take the 17:04 bus home from work and home at 17:33. Then Alice will take 45 minutes to get ready, so the next bus she takes will be the 18:33 bus from her house. She will arrive at the cinema at 18:58 and it will take 10 minutes to buy her ticket meaning she will be ready to watch the film at 19:08. The closest film after this time will be at 19:15

## 8. E

The conclusion of the passage is “we must learn to use the renewable resources of the earth carefully” as this is what the author is trying to convince us of and is the strongest opinion of the author. We can also see the conclusion indicator word “must” which provides a hint that this is the conclusion. The option that best matches this sentence is E

## 9. C

The last sentence is the conclusion, as it is what the author is trying to convince us of and it is the strongest argument in the passage. The word “should” is also a conclusion indicator word. This sentence is closest to option C

## 10. E

A: cannot be the conclusion as the passage has never implied that cycling is the most popular form of transport

B: Environmental concern is only listed as one of the possible reasons for more cycling, so it cannot be the conclusion

C: There is no mention of cycling being dependent on the available spaces

D: Costs are only listed as a possible cause for the increased cycling

E: It is definitely being argued that cycling has increased since 10 years ago, so this can be a logical conclusion. Out of all the answers this is the best choice, so the answer is E

## 11. E

We have 2 sets of identical walls that need painting. One set will be 3×9 and the other will be 3×4. The spaces that don’t need to be painted are the two 2×1 spaces and a 3×4 space. This means the total area to be painted is 2(3 × 4 + 9 × 3)−(2 × 2 × 1 + 3 × 4)= 62m2

Now we need the paint required. We can get this if we 62 by 3. 62 ÷ 3 = 20.6666. We can only buy per litre, so we will need 21 litres.

## 12. D

From the information, we have a man over 50 and men over 50 have a 1/14 chance of having prostate cancer

He has a normal PSA, however 7% of people with cancer have normal PSA, so we should adjust his probability to 1/14 x 0.07 = 1/200 or 0.005. This adjusts for the risk of false negatives

However, there is also a risk of false positive, which adjusts the risk of cancer upwards by 75%, so we can take 0.005/0.75 which is roughly 0.007 or 0.7%

## 13. D

The conclusion is the last sentence (that the killing should go ahead). This rests on the fact that more cow lives are saved. This means the assumption is that the decision should be based on the number of animal deaths. However, this is potentially flawed, as the animal rights groups have not claimed their protest of the killing is based on the number of net lives saved. This matches option D

## 14. A

The conclusion is the last sentence saying the trees will likely die out due to global warming, and this is based on the fact that the fog will be reduced. This assumes the global warming is causing the reduction in the fog, which best matches option A.

## 15. D

The conclusion is the last sentence, which is that there should be a ban on the pedicure, based on the fact that fish need to be protected and that fish have died in a pedicure pool in West End. This however assumes it was due to the pedicure that the fish died, which may not be true. This matches best with option D.

## 16. C

First convert into appropriate units: 100W/h=0.01kWh, 20W/h=0.02kWh

Calculate the cost per hour: 0.1*0.15=0.015€/h, 0.02*0.15=0.003€/h

t refers to the amount of hours running

(0.015*t)+0.6=(0.003*t)+3

0.012t=2.4

t=200

## 17. B

Setup the question as seen below (watch the first lesson on problem solving)

We know that at time today jane has 2 times the amount that Duncan has (so 2(x + 12)) but also based on our table that Jane has 5x + 12. So we equate the two and solve for x

5x + 12 = 2x + 24

3x = 12

x = 4

We want to find out how many DVDs Jane has today, so solve for 5x + 12 when x = 4 and we get 32.

## 18. A

First solve 300 ×(2.74 + 2.79 + 2.76 + 2.83 + 2.81)= 4179

Now get the amount Bolandian dollars bought if we exchanged all  of it in May which is 300 × 2.81 = 4215

The difference is 36

## 19. D

The conclusion is the last sentence, and only D strengthens this argument by saying that sharing is widespread for certain types of music, which affirms the argument that ratings are not reflective of popularity. A, B, C and E do not directly strengthen the argument.

## 20. E

The last sentence is the conclusion, which states society will benefit training people who contribute the most to society. The facts in the passage state that these subjects are more medicine and engineering based as apposed to classics, literature and art. This assumes that classics literature and art students will not provide as much to society. This assumption best matches option E.

## 21. B

A: this might seem like the conclusion, but the passage is not focusing on how languages get replaced, it is focusing on how people have always used additional languages

B: This is exactly what the passage is talking about, so it is a good conclusion

C: The passage does not mention this

D: There is no indication of a growing trend in the passage

E: There is no mention of the internet at all

## 22. A

A: this matches what the passage is saying, thus is an appropriate conclusion

B: The passage is not about drugs in the entertainment industry, it is about child actors

C: The passage is not about child actors continuing their work, it focuses more on the consequences of acting at a young age

D: This is not at all claimed in the passage

E: This is never mentioned

## 23. D

The passage is arguing for food labels so as to combat obesity, thus any option that gives credit to food labels being a good tool for this will strengthen the argument. A weakens the argument, B, C and E are not related to the argument. D however if true would mean adding labels are likely to work, thus it strengthens the argument

## 24. E

We are told that once Tom gives the 6 euros to the child that received the least (the 2 ratio) the child will have as much as the one that got the second highest amount (the 3 ratio). This means that giving 6 euros increased the ratio by 1, so the ratio is in units of 6. Thus if the ratio is 5:3:(2+1) then we have 6(5 + 3 + 3) = 66 euros.

## 25. A

P should have the highest concentration at the start and approach close to zero as time goes on (since it decays), so curve 3 is the best representation. Q is formed from P so thus should increase initially, but as time goes on it decays into R, so should decrease further on. This matches curve 2. R is formed from Q and does not decay so it should increase then plateau, this matches curve 1.

## 26. A

This is quite a tricky question as there is a conclusion indicator word in the final sentence, but this sentence is not the conclusion. The conclusion is the strongest opinion of the author, and what they are trying to convince us of, which is that the chief executives plan will likely fail. This matches best with option A

## 27. D

We know that the most numerous ingredient is 51%, tomato puree is 4.5% and sugar is at least 4.5% (as it ranks ahead of tomato). We thus only have 40% left to allocate among the other ingredients. The ingredients below tomato could be very close to 0%, so the 40% could potentially be almost completely allocated to the water.

## 28. A

In the final round Adam and David 10 but each gave 2 to Sue, so they each took 8. For equal sharing, Sue must then have taken 4 (since she received 4 from David and Adam to get 8).

## 29. C

To find how many had both a cat and a dog we add the number of people who have cats and number of people who have dogs and then take out the number who have a dog or cat or both. The people who have either a dog, a cat or both is 80 (since 20 have neither). So we have 60 + 40 – 80 = 20. So 20 people have both cats and dogs, and 60 people have cats, meaning 40 people have only cats.

## 30. B

Currently the amount of water is 28%, lets for simplicity assume the water is usually filled to 100 units, so it is currently filled to 28 units. If we increase the volume by 25% it means we are adding 7 units, so 35. If it increases by the same amount next week we add another 7 units, so 42 units. That means it would be 42% capacity.

## 31. B

From the information we can write the following two expressions

E > C > D

E > B

This shows us instantly that B is correct

## 32. A

Since no one scored over double the number of votes another candidate received, the wrong piece of the pie chart must be the piece which is made up of 24.3 degrees

Peter has 2x the votes of Rachel and 113.4 = 2 × 56.7, so Peter and Rachel are correct.

Peter has 1.5x the amount of votes of Alison, 75.6 × 1.5 = 113.4, so Alison is correct.

Rachel should have the smallest segment of the pie chart but does not. This means the 24.3 degree piece corresponds to the person who was entered incorrectly.

The 90-degree piece must be for Harold since Harold came in between Alison and Peter. This only leaves Kevin, so he was entered as 24.3 and was thus entered incorrectly.

## 33. C

Let X be the length of the tunnel.

Total length is 16km and the tunnel starts after 4km.

60km/hour is the same as 1km/minute, so traveling at 60km/h for 19 minutes should get you 19km

20km/hour is 1/3 of 60km/hour, so we will be traveling 3x as slow when in the tunnel.

Once we leave the tunnel we will have covered a distance of 4km plus the length of the tunnel, meaning the total distance is 16 minus this distance covered. We can write the remaining distance as 16 – 4 – x = 12 – x.

Hypothetically assuming constant speed of 60km/h, we can write the following…

4 + 3x + 12 – x = 19

The 3x refers to the length of the tunnel if we treat the distance as 3 times as long (which equates to the speed being a third of what it otherwise is).

Solving for X we get x = 2/3 =1.5

## 34. C

The passage claims that global warming does not mean temperatures need to increase every year for global warming to be a fact, which would mean that the previous years colder weather does not invalidate global warming. Answer C is the only option that supports this claim, as if it in fact was warmer in another region compared to previous years, it strengthens the argument.

## 35. E

The smallest amount possible will be if he lends all the loans on a three week basis. He started with 120 and lent out the amounts in the table, so 120 – 45 – 25 − 18 − 20 = 57 = 12. However, the loan from the first week is repaid by the fourth Friday, so he will have an additional 45. That is he will have 57 euros.

## 36. B

The argument here is that there should be less street lighting, and that it would in fact reduce car accidents. Any evidence that strengthens this will strengthen the argument. C and D weaken the argument, E is about costs, which is not relevant, and A is not relevant as it talks about motorway accidents during the daytime. The answer is thus B

## 37. D

The nutritional information is per 100 grams, and a full packet is 200 grams. Lets look at sugar, which for 200 grams would have 77 grams of sugar. If each biscuit contains 6 grams of sugar, and a full packet contains 77 grams of sugar, then there must be 12.83 biscuits, which we round up to 13 biscuits, in a full packet.

## 38. A

The writer here is has the assumption that the business owner is just serving squirrel to increase business, but there is no evidence provided to support this assumption, so the assumption is possibly flawed. This assumption attacks the owners motive without justification, so A is the best answer

## 39. B

The first sentence is the conclusion, as this is what the author is trying to convince us of. There is also the conclusion indicator word “should”. This sentence best matches with option B

## 40. A

Building number 8 is 7 houses away from building number 1, meaning building number 11 is 7 houses away from the house with the largest number (the end house) as building 1 is opposite the building with the largest number and building 11 is opposite building 8. 11 + 7 = 18

## 41. E

If the glucose is on a non-terminal end that means it is connected to another glucose on both sides. The OH groups are the ones involved in glycosidic bonds, which means ii and v are involved

## 42. E

We have three neurons here which will be a sensory neurone, a motor neuron and a relay neuron. The synapses are the gaps in between neurons, the synapses that connect to the relay neuron are the ones in the CNS, which means we have 2 of them.

## 43. A

Water: contains H and O.

Lipids: contain C, H, O, N.

Monosaccharide/polysaccharide carbohydrates: contain C, H and O.

Amino acids: contain H, O, N, C, S.

## 44. B

The first two options involve the brain; however, the pancreas is able to both detect and react to changes in blood glucose.

## 45. A

Phospholipids have a hydrophobic and hydrophilic region, so P must be correct. Anything that spans both the interior and exterior of the membrane must then have both hydrophobic and hydrophilic region, so Q must be correct

## 46. B

The pulmonary vein has the lowest CO2 concentration since it transports oxygenated blood form the lungs to the heart. The renal vein has the lowest urea concentration since it transports blood from the kidneys to the heart, and since the blood comes from the kidneys, most the urea has been removed.

## 47. A

The question asks how gene expression can be regulated. Gene expression is regulated by transcription factors. DNA replication is not related to gene expression and RNA polymerase regards transcription. The RER has nothing to do with gene expression. The positions of the genes on alleles does not make sense. So the answer is A

## 48. A

The ratio of 9:3:3:1 is a result of a double cross from 2 heterozygous parents with 2 genes of 2 alleles. Thus 1 and 2 are correct. We would have 4 phenotypes, so some would be the same and some different to the parents. Thus 3 and 4 are also correct.

## 49. A

If twins are not identical then they would have different alleles, so the answer is A.

## 50. D

Spindle fibres attach to the centromere, not the centrosome.

## 51. A

Hormones are released into the blood, but not necessarily via a duct. All other options are true

## 52. D

2 does not require any proteins or ATP, 1 requires both, while facilitated diffusion does not require ATP.

## 53. C

Remember that a nucleotide consists of

1. A nitrogenous base (the rectangle)
2. a five-carbon sugar (the pentagon)
3. a phosphate group (the circle).

This means V is correct

## 54. D

For D the only genetic combination of the offspring is GgNn so this must be the most likely to produce this outcome.

## 55. B

People do not become immune to antibiotics (bacteria do), so A and D are wrong. New antibiotics being available would not reduce effectiveness. Artificial selection has nothing to do with antibiotic resistivity. People not finishing their antibiotic course however does increase the risk of resistive strains, so B is correct.

## 56. B

The ribosome starts translating the protein, the protein then is processed in the ER, it then goes from the ER (via a vesicle) to the golgi apparatus for further processing. So B is correct

## 57. D

Adrenaline raises breathing rate and heart rate, but it has nothing to do with the speed of an impulse along a neuron.

## 58. C

Hydrogen bonds are intermolecular forces, so they must be weak. They are temporary. Hydrolysis is the use of water to break a covalent bond, so 4 is not correct

## 59. D

CnH2nO is the general formula for an aldehyde, and D doesn’t fit this due to having too many carbons. While A and B do not satisfy this either, it is not due them not being aldehydes, as they can still have aldehyde groups attached.

## 60. E

All ionic substances do not dissolve in water, and some covalent substances can dissolve in water. Solubility however tends to increase with temperature, so only 3 is correct

## 61. D

Oxidising agents will have their oxidation numbers decrease since they are the ones that get reduced.

First reaction: O2 oxidation number decreases from 0 to -1.

Second reaction: Fe3+ oxidation number decreases from +3 to +2.

Third reaction: H+ oxidation number decreases from +1 to 0

This matches with option D

## 62. C

Copper for sure is not a reactive metal, so we instantly know the correct answer is C.

## 63. E

C6H12 is the formula for cyclohexane, which will have an Ar of 84. Now we need to work out the number of moles of cyclohexane with M = m/n. 84 = 0.42/n so n= 0.005.

If we have 0.005 moles, and one mole is represented by avogadros number, then we know how many molecules of cyclohexane we have which is 0.005 x 6 x 1023 = 3 x 1021. We have 12 hydrogens in one molecule of cyclohexane, so we then times this number by 12 to get 3.6 x 1022

## 64. D

Sodium has atomic number 11, but the sodium ion is a cation with valency +1 (it has lost an electron), so it will have 10 electrons. Chlorine has atomic number 17, but it is an anion with valency -1 (it has gained an electron) so it will have 18 electrons.

## 65. A

Oxygen does not possess a full outer shell meaning that if we add an electron to it we will make it more stable, thus it must release energy and will be exothermic. If we add a second electron there is a strong repulsion between the two negative charges, this requires a lot of energy to overcome. As energy is required the reaction is endothermic.

## 66. E

The electronegativity values of Beryllium and Iodine are close enough so that we can consider the bond covalent.

## 67. E

First reaction: substitution and displacement

Second reaction: precipitation reaction

Third reaction: Redox reaction

Thus, we are missing an elimination reaction.

## 68. E

Row 1 is correct as ethanoic acid (a weak acid) will react with a strong base like an amine but not a weak base like an amide

Row 2 is correct as nitrous acid (a strong acid) will react with both a strong base and weak base

Row 3 is incorrect, as sulphuric acid (a strong acid) will react with strong base. (it does also cause hydrolysis but the row is still incorrect).

## 69. B

Lithium has a valency of +1 and carbonate has a valency of -2, so the chemical formula in B is not possible.

## 70. C

First: x2 < 9

= x < 3

Secondly: 2x + 3 ≥ 5

= 2x ≥ 2

= x ≥ 1

Thus 1 ≤ x < 3

## 71. C

Specific heat capacity is the heat required to raise a substances temperature by 1 degree kelvin. The formula below can be helpful here.

A is needed as iron will placed in water, so we need the specific heat capacity of water

B is needed as we will need to know how much iron we have.

C is not needed, thermal conductivity of iron is not necessary

D is needed as we will need the final temperature to know the temperature change

E is needed as we will need to know the mass of water

## 72. E

Entropy increases so 1 is definitely correct

At the melting point the energy added as heat will be used to break the intermolecular bonds, not to raise the temperature, so 2 is definitely correct

We are not breaking any covalent bonds between carbon and hydrogen, so 3 is not correct

## 73. D

There is no resistance so no heat will be released

There is no chemical reaction occurring

A magnetic field will be generated

## 74. D

In parallel circuits the total capacitance of capacitors is the sum of added individual capacitance. In series the total capacitance is given by the addition of the reciprocals.

Hence the more capacitors in parallel, the more capacitance. 1 has the least capacitors in parallel then 2 then 3 so the order is 1,2,3.

## 75. C

Vectors have both direction and magnitude. Electric charge is the only quantity listed that does not have a direction associated with it, so it is not a vector.

## 76. C

We can expand into lnx2 +lny – 2lnx – 2lny + 3lny

= 2lnx +lny – 2lnx – 2lny + 3lny

= 2lny

## 77. B

1/3 are boys and 2/5 of everyone studies maths, so there is a possibility only females learn math (so p could be 0)

The conditional probability of selecting a male who studies mathematics can be written as P (maths | male) = P(maths)/P(male)= 1/3 divided by 2/5 = 5/6

## 78. A

If we rotate R twice we are at A. S leaves us at A. R again takes us to B. S again leaves us off the pentagon and R does not put us back on. So the correct option is A

## 79. E

Draw a graph, it can then be seen that (1, -1), (1,3), (4,9) and (6,9) are all the diagonal of a box of side 1 away from each other. (5,13) is the diagonal of two of these boxes joined tighter.

## 80. B

The formula P = F/A is useful here

First get the area into meters squared: 10,000 mm2 = 0.01 m2

Get the force: F = 75 kg x 10 N/kg = 750 N

Get the pressure: P = 750 N/0.01 m2 = 75000 Pa = 7.5 x 104 Pa