Practice Module 7
Question 1
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Nutritionists say that we should eat more fruit and vegetables per day and reduce our intake of
fat to help prevent major illnesses. As fruit and vegetables are relatively expensive compared to
fatty foods, it is unlikely that families on very low incomes will follow this advice. If the
government really wants to improve the health of the nation, it will have to consider taxing foods
which are high in fat.
1. Which of the following, if true, would most strengthen the argument in the passage above? .
Many people prefer eating fatty foods to fruit and vegetables.
Advertisers tend to focus on promoting fatty foods.
Levels of smoking have reduced in response to higher prices.
It is difficult to persuade children of the health benefits of eating less fat.
Governments tend to take measures which have short term results
Correct Answer: C
Explanation:
The conclusion of this argument is that by taxing something which is dangerous to health, we can
improve the health of the population. An example of this working is given by C. A, D and E are
unrelated to this conclusion. B may be true, but does not strengthen the argument.
Question 2
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Of the 100 screws in my work box:
60 are cross-headed and 40 are slot-headed
70 are 3 mm diameter, 20 are 4 mm diameter and 10 are 5 mm diameter
80 are 50 mm long, 5 are 35 mm long and 15 are 20 mm long.
2. What is the smallest number of cross-headed, 3 mm diameter, 50 mm long screws that there
could be in the box?
0
10
, 30
31
60
Correct Answer: B
Explanation:
We are looking for the smallest number of screws. So, to minimize our final answer, we can say
that all 40 slot headed screws are 3 mm diameter, making 30 cross headed screws 3mm
diameter. Of these 30 cross headed screws to minimize our answer, we can assume 20 of them
are not 50 mm long, leaving 10 that are cross headed, 3mm diameter and 50 mm long.
Question 3
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Tom and Suki are brother and sister and go to the same school which is 2 km from their home.
Suki leaves each morning 10 minutes before Tom and walks. Tom cycles to school by the same
route at four times Suki’s walking speed and arrives there 5 minutes before her.
3. How far from home is Suki when Tom leaves?
1/2 km
2/3 km
1 km
1.33 km
1.5 km
Correct Answer: C
Explanation:
Tom takes 15 minutes lesser than Suki as he leaves 10 minutes later and arrives 5 minutes
earlier, which is 0.25 hours. We know Tom’s speed is 4v, so we can set up simultaneous
equations using distance=speed x time. 2=4vx(t-0.25), 2=vt, solving these we get t=1/3 hours.
So, they meet at t=1/3 hours and v=6km/h, and the distance at this time is 1 km.
Question 4
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Recent research has shown that people who keep pets tend to live longer than those who do not.
The explanation seems to be that factors such as increased exercise (for dog or horse owners),
the soothing properties of stroking a furry animal (such as a cat) and the emotional benefits of
affectionate relationships combine to benefit human longevity. Everyone who can own a pet,
should do so. Obviously, this suggestion is not appropriate to people who are allergic to animals.
,4. Which of the following is an assumption of the above argument?
People who have allergies can never have pets.
The more pets a person keeps, the longer s/he will live.
Dogs, horses and cats are always affectionate to humans.
People who have never kept pets may not appreciate their benefits.
Everyone should try to live longer.
Correct Answer: E
Explanation:
The argument suggests that ‘everyone who can own a pet should do so’ and this is because
people live longer. However, this assumes that everyone should try and live longer, which is said
in E.
Question 5
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Questions 5 to 8 refer to the following information
The table below shows the results of a survey into salt intake as estimated by measuring urinary
sodium levels. The results are expressed cumulatively. The recommended maximum daily intake
of salt is 6 grams.
5. What was the total number of men in the survey who were estimated to take the maximum
recommended daily intake or less?
, 15
23
62
85
108
Correct Answer: D
Explanation:
Max recommended daily intake is under 6 grams per day. We know that 15% of 567 men have
had 6 grams or under. 567x0.15 is approximately 85.
Question 6
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Questions 5 to 8 refer to the following information
The table below shows the results of a survey into salt intake as estimated by measuring urinary
sodium levels. The results are expressed cumulatively. The recommended maximum daily intake
of salt is 6 grams.
6. Calculate (by interpolation) the median salt intake for women in the survey (the median is the
amount taken by 50% or less of those in the survey). Express your result to the nearest 0.1g.
1.6g
Question 1
Flag this item
Nutritionists say that we should eat more fruit and vegetables per day and reduce our intake of
fat to help prevent major illnesses. As fruit and vegetables are relatively expensive compared to
fatty foods, it is unlikely that families on very low incomes will follow this advice. If the
government really wants to improve the health of the nation, it will have to consider taxing foods
which are high in fat.
1. Which of the following, if true, would most strengthen the argument in the passage above? .
Many people prefer eating fatty foods to fruit and vegetables.
Advertisers tend to focus on promoting fatty foods.
Levels of smoking have reduced in response to higher prices.
It is difficult to persuade children of the health benefits of eating less fat.
Governments tend to take measures which have short term results
Correct Answer: C
Explanation:
The conclusion of this argument is that by taxing something which is dangerous to health, we can
improve the health of the population. An example of this working is given by C. A, D and E are
unrelated to this conclusion. B may be true, but does not strengthen the argument.
Question 2
Flag this item
Of the 100 screws in my work box:
60 are cross-headed and 40 are slot-headed
70 are 3 mm diameter, 20 are 4 mm diameter and 10 are 5 mm diameter
80 are 50 mm long, 5 are 35 mm long and 15 are 20 mm long.
2. What is the smallest number of cross-headed, 3 mm diameter, 50 mm long screws that there
could be in the box?
0
10
, 30
31
60
Correct Answer: B
Explanation:
We are looking for the smallest number of screws. So, to minimize our final answer, we can say
that all 40 slot headed screws are 3 mm diameter, making 30 cross headed screws 3mm
diameter. Of these 30 cross headed screws to minimize our answer, we can assume 20 of them
are not 50 mm long, leaving 10 that are cross headed, 3mm diameter and 50 mm long.
Question 3
Flag this item
Tom and Suki are brother and sister and go to the same school which is 2 km from their home.
Suki leaves each morning 10 minutes before Tom and walks. Tom cycles to school by the same
route at four times Suki’s walking speed and arrives there 5 minutes before her.
3. How far from home is Suki when Tom leaves?
1/2 km
2/3 km
1 km
1.33 km
1.5 km
Correct Answer: C
Explanation:
Tom takes 15 minutes lesser than Suki as he leaves 10 minutes later and arrives 5 minutes
earlier, which is 0.25 hours. We know Tom’s speed is 4v, so we can set up simultaneous
equations using distance=speed x time. 2=4vx(t-0.25), 2=vt, solving these we get t=1/3 hours.
So, they meet at t=1/3 hours and v=6km/h, and the distance at this time is 1 km.
Question 4
Flag this item
Recent research has shown that people who keep pets tend to live longer than those who do not.
The explanation seems to be that factors such as increased exercise (for dog or horse owners),
the soothing properties of stroking a furry animal (such as a cat) and the emotional benefits of
affectionate relationships combine to benefit human longevity. Everyone who can own a pet,
should do so. Obviously, this suggestion is not appropriate to people who are allergic to animals.
,4. Which of the following is an assumption of the above argument?
People who have allergies can never have pets.
The more pets a person keeps, the longer s/he will live.
Dogs, horses and cats are always affectionate to humans.
People who have never kept pets may not appreciate their benefits.
Everyone should try to live longer.
Correct Answer: E
Explanation:
The argument suggests that ‘everyone who can own a pet should do so’ and this is because
people live longer. However, this assumes that everyone should try and live longer, which is said
in E.
Question 5
Flag this item
Questions 5 to 8 refer to the following information
The table below shows the results of a survey into salt intake as estimated by measuring urinary
sodium levels. The results are expressed cumulatively. The recommended maximum daily intake
of salt is 6 grams.
5. What was the total number of men in the survey who were estimated to take the maximum
recommended daily intake or less?
, 15
23
62
85
108
Correct Answer: D
Explanation:
Max recommended daily intake is under 6 grams per day. We know that 15% of 567 men have
had 6 grams or under. 567x0.15 is approximately 85.
Question 6
Flag this item
Questions 5 to 8 refer to the following information
The table below shows the results of a survey into salt intake as estimated by measuring urinary
sodium levels. The results are expressed cumulatively. The recommended maximum daily intake
of salt is 6 grams.
6. Calculate (by interpolation) the median salt intake for women in the survey (the median is the
amount taken by 50% or less of those in the survey). Express your result to the nearest 0.1g.
1.6g
