UCAT QR-Subset 1.1

UCAT QR Subset-1

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UCAT Quantitative Reasoning

1.

UCAT QR-Q1 Infor

UCAT QR-Q1.1

Question 1 of 36

2.

UCAT QR-Q1 Infor

UCAT QR-Q1.2

Question 2 of 36

3.

UCAT QR-Q1 Infor

Cory has an annual taxable income equivalent to $2,500 per month. She wants to save enough money each month to pay her tax for the year. The minimum amount, to the nearest $, that Cory has to save each month is:

UCAT QR-Q1.3A

Question 3 of 36

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UCAT QR-Q1 Infor

UCAT QR-Q1.4

 

Question 4 of 36

5. UCAT QR-Q5 Infor

UCAT QR-Q5A Infor

How many whole hectares of prime farmland cloud be bought for the total cost of buying a one hectare derelict factory site and cleaning it for residential use?

UCAT QR-Q5B Infor

UCAT QR-Q5C

Question 5 of 36

6. UCAT QR-Q5 Infor

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UCAT QR-Q5.1

Question 6 of 36

7. UCAT QR-Q5 Infor

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A brownfield site is rectangular, 0.7 km by 1.6 km. it was previously the site of a steelworks. Work out the total cost of buying the land and cleaning it up for residential use.

UCAT QR-Q5.2

Question 7 of 36

8. UCAT QR-Q5 Infor

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UCAT QR-Q5B Infor

Building developers buy an old sewage works site with an area of 4 acres. They intend to clean the site for residential use. They know can use an area of 1/10th of an acre for a house. Work out the total cost, to the nearest $, of buying and cleaning the land per house.

UCAT QR-Q5.3

Question 8 of 36

9.  

UCAT QR-Q9

UCAT QR-Q9A

UCAT QR-Q9C

Question 9 of 36

10.  

UCAT QR-Q10

UCAT QR-Q10A

In the second year at the university, Linda scored 99 points in P5. What is the difference between her P5 score in the second year and her average project score in the first year?

UCAT QR-Q10B

Question 10 of 36

11.

Mineral water is classified on the basis of the amount of dissolved solid minerals it contains. The chart shows the codes for different levels of total dissolved solids (TDS) and the number of mineral water bottles each code sold at a store.

UCAT QR-Q11

UCAT QR-Q11A

Question 11 of 36

12.  

UCAT QR-Q12

UCAT QR-Q12A

If both the coins are made of only nickel and copper, what is the difference between the weight of copper present in Coin B and the weight of copper in Coin A?

UCAT QR-Q12B

Question 12 of 36

13.

A group of people were asked to taste some paper soaked in a weak solution of the chemical PTC. The table gives some information about the results.

UCAT QR-Q13 Infor

 

3/5 of the woman who can taste PTC and 7/12 of the men who can taste PTC do not drink coffee.

What percentage, correct to 1 decimal place, of the adults who can taste PTC do drink coffee?

UCAT QR-Q13A

Question 13 of 36

14.

A group of people were asked to taste some paper soaked in a weak solution of the chemical PTC. The table gives some information about the results.

UCAT QR-Q13 Infor

If 10%of the men who said they cannot taste PTC could in fact taste PTC at higher concentrations, what would be the ratio of men who can taste PTC to men who cannot taste PTC, at higher concentrations?

UCAT QR-Q14

Question 14 of 36

15.

A group of people were asked to taste some paper soaked in a weak solution of the chemical PTC. The table gives some information about the results.

UCAT QR-Q13 Infor

A population of 100,000 people is equally divided between men, women, boys and girls. Use the data in the table to estimate the number, correct to 4 significant figures, of people in the population who can taste PTC.

UCAT QR-Q15

Question 15 of 36

16.

A group of people were asked to taste some paper soaked in a weak solution of the chemical PTC. The table gives some information about the results.

UCAT QR-Q13 Infor

UCAT QR-Q16

Question 16 of 36

17.

UCAT QR-Q18

UCAT QR-Q18A

Two parcels weighing 600g each were lost during transit. Each parcel was priced at $1,500. The compensation limit was $50 to $1,000 for one parcel and $1,000 to $2,500 for the other. What was the difference between the compensations that the courier company pad for the lost parcels?

UCAT QR-Q17B

Question 17 of 36

18.

UCAT QR-Q18

UCAT QR-Q18A

An artefact weighing 900 g and valued at $300 was damaged during transit. It had a compensation limit of $50 to $1,000. If the repairing cost for the artefact is 20% of its value. What is the compensation for the damaged artefact?

UCAT QR-Q18B

Question 18 of 36

19.  

UCAT QR-Q17

UCAT QR-Q17A

Lucas couriered a cardigan of price $30 and weight 250 g with compensation limit of $0 to $50. If the cardigan is lost during transit, how much compensation should Lucas receive from the company?

UCAT QR-Q19        

Question 19 of 36

20.  

UCAT QR-Q17

UCAT QR-Q17A

Davis couriered an article weighing 120 g with a compensation limit of $1,000 to $2,500.if the article was lost during transit and the company paid $1,121.38 as compensation, what was the actual price of the article?

UCAT QR-Q20

 

Question 20 of 36

21.

UCAT QR-Q21

UCAT QR-Q21A

UCAT QR-Q21B

 

Question 21 of 36

22.

UCAT QR-Q21

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Approximately 24.8% of the audience tuned in through the Syndies services for Programme 2 were women. What number of the audience tuned the Syndies services for Programme 2 men?

UCAT QR-Q22

 

Question 22 of 36

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UCAT QR-Q21

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UCAT QR-Q23

 

Question 23 of 36

24.

UCAT QR-Q21

UCAT QR-Q21A

If about 33.33% of audience who tuned in to Programme 1 through the Syndies services switches to Programme 4 through the Syndies, what will be the number of audience tuned in to Programme 4 through the Syndies? Assume the base audience population remains unchanged.

UCAT QR-Q24

 

Question 24 of 36

25.

The government of Ruritania holds a prize draw each month for the buyers of Ruritanian Prize Bonds. Each bond costs $1.

The size of the prize Fund is calculated by multiplying the total number of Prize Bonds by the interest rate. Not all the prize fund was used. The interest rate in April 2009 was 0.7%.

The number of prizes is calculated by dividing the total number of Prize Bonds by the odds. The odds in April 2009 were 30,000 (30,000 to 1)

UCAT QR-Q25A

UCAT QR-Q25B

Question 25 of 36

26.

The government of Ruritania holds a prize draw each month for the buyers of Ruritanian Prize Bonds. Each bond costs $1.

The size of the prize Fund is calculated by multiplying the total number of Prize Bonds by the interest rate. Not all the prize fund was used. The interest rate in April 2009 was 0.7%.

The number of prizes is calculated by dividing the total number of Prize Bonds by the odds. The odds in April 2009 were 30,000 (30,000 to 1)

UCAT QR-Q25A

UCAT QR-Q26

Question 26 of 36

27.

The government of Ruritania holds a prize draw each month for the buyers of Ruritanian Prize Bonds. Each bond costs $1.

The size of the prize Fund is calculated by multiplying the total number of Prize Bonds by the interest rate. Not all the prize fund was used. The interest rate in April 2009 was 0.7%.

The number of prizes is calculated by dividing the total number of Prize Bonds by the odds. The odds in April 2009 were 30,000 (30,000 to 1)

UCAT QR-Q25A

UCAT QR-Q27

Question 27 of 36

28.

The government of Ruritania holds a prize draw each month for the buyers of Ruritanian Prize Bonds. Each bond costs $1.

The size of the prize Fund is calculated by multiplying the total number of Prize Bonds by the interest rate. Not all the prize fund was used. The interest rate in April 2009 was 0.7%.

The number of prizes is calculated by dividing the total number of Prize Bonds by the odds. The odds in April 2009 were 30,000 (30,000 to 1)

UCAT QR-Q25A

UCAT QR-Q28

Question 28 of 36

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UCAT QR-Q29UCAT QR-Q29A

Question 29 of 36

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UCAT QR-Q29

UCAT QR-Q30

Question 30 of 36

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UCAT QR-Q29

UCAT QR-Q31

UCAT QR-Q31A

Question 31 of 36

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UCAT QR-Q29

UCAT QR-Q31

UCAT QR-Q32

Question 32 of 36

33.

The winner of a council election in April resigns in July and a new election is held in September. There are no changes in the number of people entitled to vote between April and September.

UCAT QR-Q33

By reading across, you can see the number of voters supporting a party in April and how the same people voted in September. No one died or left the district.

To learn how people who voted for a particular party in September had voted in April, read down the column-the total September vote o given at the bottom of each column, including any votes gained in September from people who had not voted in April.

UCAT QR-Q33A

Question 33 of 36

34.

The winner of a council election in April resigns in July and a new election is held in September. There are no changes in the number of people entitled to vote between April and September.

UCAT QR-Q33

By reading across, you can see the number of voters supporting a party in April and how the same people voted in September. No one died or left the district.

To learn how people who voted for a particular party in September had voted in April, read down the column-the total September vote o given at the bottom of each column, including any votes gained in September from people who had not voted in April.

UCAT QR-Q34

Question 34 of 36

35.

The winner of a council election in April resigns in July and a new election is held in September. There are no changes in the number of people entitled to vote between April and September.

UCAT QR-Q33

By reading across, you can see the number of voters supporting a party in April and how the same people voted in September. No one died or left the district.

To learn how people who voted for a particular party in September had voted in April, read down the column-the total September vote o given at the bottom of each column, including any votes gained in September from people who had not voted in April.

UCAT QR-Q35

Question 35 of 36

36.

The winner of a council election in April resigns in July and a new election is held in September. There are no changes in the number of people entitled to vote between April and September.

UCAT QR-Q33

By reading across, you can see the number of voters supporting a party in April and how the same people voted in September. No one died or left the district.

To learn how people who voted for a particular party in September had voted in April, read down the column-the total September vote o given at the bottom of each column, including any votes gained in September from people who had not voted in April.

UCAT QR-Q36

Question 36 of 36