UKCAT Quantitative Reasoning Practice Test

UKCAT Quantitative Reasoning Practice Test

UKCAT Quantitative Reasoning Practice Test

Distance from London / Miles / Kilometres
Bombay / 4500 / 7200
Chicago / 4000 / 6305
Hong Kong / 6025 / 9735
Lima / 6315 / 10125
Moscow / 1585 / 2475
Sydney / 10580 / 16970

1)  Which of the following statements is true of the cities shown?

(A) Four cities are closer to London than Hong Kong

(B) Chicago is over 20% closer to London than Bombay

(C) The range in distances shown in miles is 1,585-10,580

(D) Bombay is over three times as far away from London as Moscow

(E) The range in distance (in km) shown is 2,475 – 10,125

2)  Which two cities are closest to London?

(A)  Bombay, Chicago

(B)  Chicago, Hong Kong

(C)  Hong Kong, Lima

(D) Lima, Moscow

(E)  Moscow, Chicago

3)  What is the ratio of the distance (in miles) to Bombay compared to Chicago?

(A)  8:9

(B)  5:4

(C)  9:8

(D) 4:5

(E) 45:40

4)  What is the distance in km from Lima to Hong Kong

(A)  4500

(B)  4000

(C)  290

(D) 295

(E) Can’t Say

5)  A charter plane flies from London to and from Bombay at an average speed of 700 km per hour. How long will the total flight take?

(A)  20 hours

(B)  19 hours

(C)  18 hours

(D)  17 hours

(E)  16 hours

6)  What is the ratio of electricity generated from renewable sources to gas?

(A)  1:7

(B)  2:7

(C) 1:9

(D) 2:9

(E) 1:11

7)  What fraction is oil production of coal production?

(A)  9/20

(B) 18/40

(C) 1/8

(D) ¼

(E) 1/2

8)  South American electricity production is 550 GWh. How much is generated by nuclear power?

(A)  5.5 GWh

(B) 4.4 GWh

(C) 3.3 GWh

(D) 2.2 GWh

(E) 1.1 GWh

9)  South American electricity production is 700 GWh. What is the ratio of electricity generated by coal to gas and renewable sources combined?

(A) 1:1

(B)  2:1

(C) 1:2

(D) 2:3

(E) 1:3

10) South American electricity production is 500 GWh. What fraction of the total is generated by coal?

(A) 2/3

(B) 1/2

(C) 2/5

(D) 2/3

(E) 1/5

11) Which of the following statements is false?

(A)  The lowest life expectancy for men is in Russia

(B)  The range of life expectancy shown for men is 60-80 years

(C) The range of life expectancy shown for women is 65-85 years

(D) The lowest life expectancy for women is in China

(E) The highest life expectancy for women is in the USA

12) What is the range of life expectancy for men compared to women

(A)  Women (65 years); Men (60 years)

(B)  Women (85 years); Men (80 years)

(C)  Men (60-80 years); Women (65-85 years)

(D) Men (65-85 years); Women (60-85 years)

(E)  Women (60-80 years); Men (65-85 years)

13) What is the average life expectancy for men?

(A)  71 years

(B)  71.5 years

(C)  72 years

(D) 72.5 years

(E)  73 years

14) What is the modal life expectancy for women?

(A)  65 years

(B)  70 years

(C)  75 years

(D) 80 years

(E)  85 years

15) Which countries have the highest and the lowest overall life expectations?

(A)  Russia, England

(B) England, Russia

(C)  England, USA

(D) USA, China

(E)  England, China

CITY / LOCAL TIME
Berlin / 1300 hrs
Cairo / 1400 hrs
Chicago / 0600 hrs
Delhi / 1730 hrs
Edinburgh / 1200 hrs
Karachi / 1700 hrs
Melbourne / 2200 hrs
New York / 0700 hrs
Reykjavik / 1100 hrs
Singapore / 1930 hrs

16) What is the time difference in New York compared to Delhi?

(A) 10 hours 30 mins ahead

(B) 10 hours 30 mins behind

(C) 11 hours 30 mins ahead

(D) 11 hours 30 mins behind

(E) 12 hours 30 mins behind

17) What is the time in Singapore when it is 09.00 in London?

(A) 1630 hrs

(B) 1730 hrs

(C) 1830 hrs

(D) 1930 hrs

(E) 2030 hrs

18) A plane leaves London 1930 local time and arrives in New York at 2100 local time. How long was the flight?

(A) 5.5 hours

(B) 6 hours

(C) 6.5 hours

(D) 7 hours

(E) 7.5 hours

19) What time is it in Reyjavik if it is 1630 hrs in London?

(A)  1330 hrs

(B)  1400 hrs

(C)  1430 hrs

(D) 1500 hrs

(E)  1530 hrs

20) A plane leaves London at 2000 hrs traveling at 500 mph. The distance to Chicago is 4000 miles. What local time does it arrive?

(A)  2100 hrs

(B)  2130 hrs

(C)  2200 hrs

(D) 2230 hrs

(E)  2300 hrs

21) What is the change in House B’s monthly rental income between 2003-2004?

a)  £100 increase

b)  £100 decrease

c)  £150 increase

d)  £150 decrease

e) £200 increase

22) What is the overall change in House A’s monthly rental income between 2004-2006?

a) £300 decrease

b)  £200 decrease

c)  £0

d)  £200 increase

e) £300 increase

23) What is the difference in House B’s income for 2007 compared to 2003?

(A)  £0

(B)  £1200

(C) £2400

(D) £4800

(E) £7200

24) What is the difference in House A’s monthly rental income for 2003 compared to 2008?

(A)  £100 less (per month)

(B)  £100 more (per month)

(C)  £200 less (per month)

(D) £200 more (per month)

(E)  No difference

25) Between which years is there no difference in rental income across Houses A and B?

(A)  2003, 2006

(B)  2005, 2006

(C)  2006, 2007

(D) 2007, 2008

(E)  2006, 2007

Island / Square miles
Borneo / 287,050
Greenland / 839,700
Honshu / 88,950
Victoria / 82,300
Body of Water / Square miles
Atlantic Ocean / 31,799,900
Caribbean Sea / 1,063,075
Gulf of Mexico / 596,050
South China Sea / 1,148,850

26) Which of the following statements is true?

(A)  Lake Honshu is less than 5% larger than Lake Victoria

(B) The largest island is smaller than the smallest body of water

(C) The largest body of water is bigger than the combined area of all four islands

(D) The Caribbean Sea is the second biggest body of water shown

(E) Greenland is over twice the size of the other islands shown

27) Which are the smallest and the largest of all islands and bodies of water shown?

(A)  Borneo, Atlantic Ocean

(B)  Victoria, South China Sea

(C)  Honshu, South China Sea

(D) Honshu, Atlantic Ocean

(E)  Victoria, Atlantic Ocean

28) What is the total size of the islands shown (in square miles)?

(A)  1,198,000

(B)  1,298,000

(C)  1,398,000

(D)  1,498,000

(E)  1,598,000

29) What % of the total area of water shown is the Atlantic Ocean (to the nearest whole number)?

(A)  90%

(B)  91%

(C)  92%

(D) 93%

(E)  95%

30) What is the difference in size (in square miles) between the smallest and the largest bodies of water?

(A)  31,203,950

(B)  31,203,900

(C)  31,203,850

(D) 31,203,800

(E)  31,203,750

MAGAZINES a – e
a / b / C / D / e
Annual fee (£) / 49.00 / 59.00 / 54.99 / 55.99 / 49.99
Monthly fee (£) / 5.00 / 6.00 / 5.49 / 5.99 / 4.99

31) What is the cost of taking out monthly subscriptions for 18 months with magazines a, b and d?

(A) £74.99

(B) £88.50

(C) £265.93

(D) £305.82

(E) £323.64

32) What is the total cost of 6 months subscription to all magazines?

(A) £161.82

(B) £164.82

(C) £167.82

(D) £170.82

(E) £173.82

33) Which magazine offers the greatest saving in taking out an annual subscription rather than a monthly subscription?

(A) Magazine a

(B) Magazine b

(C) Magazine c

(D) Magazine d

(E) Magazine e

34) Which magazine offers the least saving in taking out an annual subscription rather than a monthly subscription?

(A) Magazine a

(B) Magazine b

(C) Magazine c

(D) Magazine d

(E) Magazine e

35) The cost of monthly contract “a” rises by 15%. What is the new cost of 6 monthly payments?

(A) £30.00

(B) £32.50

(C) £34.50

(D) £35.00

(E) £36.50

36) What is the 2008 demand ratio between gas, renewables and coal?

A 2:1:3

B 3:2:5

C 3:2:7

D 4:2:5

E 4:2:7

37) What fraction of total electricity production for 2008 are gas and coal respectively?

A 1/5; 7/20

B 7/20; 1/5

C 1/3; 7/20

D 7/10; 1/3

E 1/3; 7/10

38) The total Australian electricity demand is 280 billion kWh in 2008. How much of this is produced by gas

A 28 billion kWh

B 42 billion kWh

C 56 billion kWh

D 70 billion kWh

E 84 billion kWh

39) Between 2008 – 2050 the production of Australian electricity demand from renewable is forecast to change by what percentage?

A 3% more

B 3% less

C 13% more

D 13% less

E 10% less

40) Between 2008 – 2050 which form of electricity generatio exhibits the least change?

A Gas

B Nuclear

C Coal

D Oil

E Renewables

Mondays to Saturdays
DESTINATION / TRAIN TIMES
Keen train station
Brume
Gingford
Kisley / 0630 0730 0830 Then at 1445 1545
0647 0746 0846 these mins 1501 1601
0658 0757 0857 past each 1512 1612
0716 0815 0915 hour unti l 1530 1630
Detton Central / 0729 0828 0928 1543 1643
Sundays
DESTINATION / TRAIN TIMES
Keen train station
Brume
Gingford
Kisley / 0730 0845 then at 2046
0747 0902 these mins 2102
0758 0913 past each 2113
0816 0931 hour until 2131
Detton Central / 0829 0944 2144
There is no Bank Holiday service on this line

41) How long does a train journey take between Brume and Kisley on a Wednesday?

A 21 mins

B 23 mins

C 25 mins

D 27 mins

E 29 mins

42) What is the time difference between the Sunday and the weekly train service?

A 2 minutes slower

B 1 minute slower

C No time difference

D 1 minute faster

E 2 minutes faster

43) Due to engineering works the Sunday train service is replaced by a bus between Detton Central and Gingford. The bus takes 20 mins longer than the train service. What time can a passenger taking the 0846 hrs train from Keen expect to arrive in Detton Central?

A 0913 hrs

B 0944 hrs

C 0954 hrs

D 1004 hrs

E 1014 hrs

44) What time does the 1346 hrs Monday train leaving Brume arrive in Detton Central?

A 1428 hrs

B 1429 hrs

C 1430 hrs

D 1431 hrs

E 1432 hrs

45) At what speed does the weekday train travel the 18 miles between Gingford and Kisley?

A 18mph

B 28mph

C 40mph

D 50mph

E 60mph

Time Frame / 7% / 8% / 9% / 15%
1 year / 10.7 / 10.8 / 10.9 / 11.5
5 years / 13.5 / 14 / 14.5 / 17.5
10 years / 17 / 18 / 19 / 25
50 years / 45 / 50 / 55 / 85

46) What is the interest paid on £15 over 10 years at 9%?

(A) £13.50

(B) £14.50

(C) £18.00

(D) £19.00

(E) £28.50

47) What is the value of £200 invested in a 7% account at the end of 5 years?

(A)  £230

(B) £240

(C) £250

(D) £260

(E) £270

48) What is the difference in value between Account A (paying 8% interest) Account B (paying 7% interest) on £10 over 50 years?

(A)  £4.00

(B) £4.50

(C) £5.00

(D) £45.00

(E) £50.00

49) What is the difference in interest paid on £25 over 5 years at 7% and 15%?

(A)  £10.00

(B) £13.50

(C) £17.50

(D) £25.00

(E) £33.75

50) The interest rate payable changes from 7% in the first year to 8% in the second year. How much interest does £50 earn over this two year period?

(A)  £3.50

(B)  £4.28

(C) £7.50

(D) £7.78

(E) £10.70