ECAA 2016 Economics Admissions Assessment

• A.$12\frac{3}{4}$
• B.$22\frac{1}{4}$
• C.$23\frac{1}{4}$
• D.$24\frac{3}{4}$
• E.$34\frac{1}{4}$

Answer: B

Anton wants to ride one of the top 8 roller coasters in the world to celebrate his 13th birthday. The top 8 roller coasters are spread around the world. Anton has to decide which roller coaster to visit, taking into consideration:

- Anton's height: 143 cm
- $400 maximum for two one-way flights
- The roller coaster must reach at least 90mph
- Queue time is no longer than 40 minutes

Which roller coaster will Anton choose to ride?

• A.Intimidator 305
• B.Dodonpa
• C.Kingda Ka
• D.Superman
• E.Voyage

Answer: C

A cube is labelled with six letters and, when viewed in two positions, looks like this:

Which one of the following nets could be folded to make the above cube?

• A.Net A
• B.Net B
• C.Net C
• D.Net D
• E.Net E

Answer: D

• A.Monday, Tuesday, Thursday.
• B.Monday, Tuesday, Friday.
• C.Monday, Wednesday, Thursday.
• D.Monday, Wednesday, Friday.
• E.Tuesday, Wednesday, Friday.

Answer: C

As a treat for my sixth birthday I am going swimming with my family next Saturday afternoon. My mum is a nurse and my dad is unemployed. My sister is three years younger than me and my brother is two years older but they will both enjoy the treat too. Grandma is coming but she will watch rather than swim. Grandpa loves swimming even though he is nearly 72 years old, so he will be in the pool enjoying the swim.

The charges at the local swimming centre are shown below:

*Adults must be Unemployed or Senior Citizens
Off-peak - Monday to Friday 9 am to 5 pm
Peak - all other times and school holidays

What is the lowest price that we could pay for our tickets?

• A.£7.00
• B.£9.10
• C.£9.30
• D.£12.10
• E.£12.30

Answer: C

The floor of the reception area of the head office of Stott and Walsh is tiled as shown below:

Which one of these tiles could not be used to replace a damaged tile on this floor?

• A.Tile A
• B.Tile B
• C.Tile C
• D.Tile D
• E.Tile E

Answer: B

This diagram shows the roads that connect four towns and the distances involved.

[not to scale]

I live in Essover. This afternoon I have to visit clients in Arford, Teechester and Yewton before returning to Essover. It does not matter in which order I visit the clients.

What is the minimum distance I could travel this afternoon?

• A.78 km
• B.83 km
• C.86 km
• D.89 km
• E.93 km

Answer: C

• A.1,537
• B.1,724
• C.2,199
• D.6,439
• E.7,389

Answer: A

One of the exhibits in the Interactive Art Exhibition at the Hanson Gallery consists of 16 identical free-standing cubes. Visitors to the exhibition are invited to handle these cubes and rearrange them to create their own work of art.

This is the arrangement that I have made:

What is the side view of my arrangement from the direction indicated by the arrow?

• A.View A
• B.View B
• C.View C
• D.View D
• E.View E

Answer: E

• A.4
• B.5
• C.6
• D.7
• E.8

Answer: B

I need to buy new printer paper for my fax machine. The paper comes in rolls. My machine needs paper 210mm wide and will take a roll up to 25.4 mm in diameter.

I do not really care how long the paper in the roll is and will buy rolls in bulk if they are cheaper. I will just buy the most economical paper to use. I cannot, however, afford to spend more than £30.00.

The prices in the catalogue are as follows:

(RRP=Recommended Retail Price)

How much will the transaction cost me?

• A.£2.49
• B.£4.16
• C.£7.49
• D.£20.94
• E.£24.96

Answer: D

After having some carpets fitted recently I was left with these five remnants.

I have stitched four of these pieces together to create a rectangular 'patchwork' mat whose length is twice its width.

Which one of the pieces is not part of my mat?

• A.V
• B.W
• C.X
• D.Y
• E.Z

Answer: A

A company is producing a one-page flysheet 24 cm high by 18 cm wide. It will have a text area in the centre which has a margin of the same width all the way around. The text must occupy exactly half of the total area:

What is the width of the margin?

• A.3.00 cm
• B.4.50 cm
• C.5.25 cm
• D.6.00 cm
• E.12.00 cm

Answer: A

• A.Balcony
• B.Box
• C.Dress Circle
• D.Grand Circle
• E.Orchestra Stalls

Answer: A

• A.Bob
• B.Eve
• C.Nan
• D.Pip
• E.Viv

Answer: E

• A.1 p
• B.2 p
• C.4 p
• D.6 p
• E.14 p

Answer: D

I have a square field which is exactly one hectare (100 m × 100 m). On Monday I was surprised to find 4 mushrooms growing in a 1 m square formation, in the centre of my field. On Tuesday the group of mushrooms had expanded to 16, which were all 1 m apart.

When I looked at the group of mushrooms today (Wednesday), it had expanded to 36.

If the area covered by mushrooms continues to expand at this rate, how many days (including today) will it be until my field is covered in mushrooms?

• A.48
• B.50
• C.96
• D.100
• E.192

Answer: A

Water was poured into five containers at a steady rate until each was full. A graph of the depth of water (h) in the container against time (t) was sketched for each container. One of the graphs has been lost.

Which one of the following containers is not represented by any of the above graphs?

• A.Container A
• B.Container B
• C.Container C
• D.Container D
• E.Container E

Answer: D

• A.12 p
• B.15 p
• C.20 p
• D.25 p
• E.30 p

Answer: C

Mike wants to buy a second-hand car that offers the lowest depreciation per mile. He is not worried about the model. His family insist that the car has 4 or 5 doors and an engine of at least 1.6 litres so that it can tow a caravan. Mike plans to keep the car until it has covered 100 000 miles and then sell it for £1,000. He scans the following price list from his local garage:

Which make of car does Mike buy?

• A.Ford
• B.Rover
• C.VW
• D.Vauxhall
• E.Renault

Answer: A

The population pyramid below shows the age and gender distribution of the residents in England and Wales in 2010.

Which one of the following statements is not true?

• A.Over the age of 34, the number of women is higher than that of men for every age group.
• B.Below the age of 35, the number of men is higher than that of women in every age group.
• C.There are more than twice as many women as men in the 85+ age group.
• D.Not taking children below the age of 1 into consideration, the least numerous age group is that of people aged 80 to 84.
• E.The most numerous age group consists of people aged between 40 and 44.

Answer: D

The planet Melpomene has three moons, Othello, Hamlet and Romeo, each moving at a constant speed in the same direction in circular orbits.

Othello takes 20 days to complete one orbit of Melpomene, whereas Hamlet takes 45 days and Romeo takes 120 days.

How often are Melpomene and all three of its moons in line with each other in the order shown in the diagram?

• A.every 36 days
• B.every 72 days
• C.every 132 days
• D.every 180 days
• E.every 216 days

Answer: B

• A.-1
• B.$-\frac{4}{9}$
• C.$-\frac{1}{4}$
• D.$\frac{1}{4}$
• E.$\frac{4}{9}$
• F.1

Answer: D

• A.$-\frac{77}{8}$
• B.$-\frac{73}{8}$
• C.$-\frac{65}{8}$
• D.$-\frac{17}{8}$
• E.$\frac{55}{8}$
• F.$\frac{175}{8}$

Answer: D

The diagram shows the cross section of a cylindrical roll of paper towels which are used in domestic kitchens.

[diagram not to scale]

The roll consists of 64 towels, each of which is a square of side 250 mm, and they are tightly wrapped around an inner cardboard tube of diameter 5 cm. The outer diameter of the roll is 11 cm and the length of the cylinder is 25 cm.

The thickness of an individual towel, in millimetres, is estimated from this information.

Which one of these estimates is the best?

• A.0.01 mm
• B.0.05 mm
• C.0.1 mm
• D.0.5 mm
• E.1 mm
• F.2 mm

Answer: D

• A.20%
• B.40%
• C.44%
• D.88%
• E.92%
• F.116%
• G.It depends on the values of $a$, $b$, $c$, and $d$.

Answer: C

• A.3
• B.6
• C.9
• D.18
• E.27

Answer: C

The diagram shows a partial sketch of the curve $y = 2x^3 - 9x^2 + 12x + p$ where $p$ is constant.

[diagram not to scale]

The curve cuts the x-axis at one point only and does not touch the x-axis at any other point.

The y-coordinates of the turning points of the curve are both positive.

Find the complete range of values of $p$.

• A.$p > -5$
• B.$p > -4$
• C.$-5 < p < -4$
• D.$4 < p < 5$
• E.$p > 4$
• F.$p > 5$

Answer: B

• A.$5 \pm 2\sqrt{6}$
• B.$\frac{6}{5}$
• C.$2\sqrt{6}$
• D.$\frac{4}{5}$
• E.There are no values of x.

Answer: B

• A.12.5 km/h
• B.18 km/h
• C.20 km/h
• D.22 km/h
• E.28 km/h

Answer: B

• A.$\frac{2}{3}a^4$
• B.$\frac{5}{6}a^4$
• C.$\frac{4}{3}a^4$
• D.$\frac{3}{2}a^4$
• E.$\frac{7}{2}a^4$

Answer: D

• A.$\frac{5}{6}$
• B.$\frac{11}{6}$
• C.$\frac{49}{12}$
• D.$\frac{71}{12}$
• E.$\frac{73}{12}$

Answer: D

• A.$\frac{n-1}{3(3n-1)}$
• B.$\frac{3n-1}{3(3n-1)}$
• C.$\frac{4n-2}{3(3n-1)}$
• D.$\frac{4n}{3(3n-1)}$
• E.$\frac{5n-1}{3(3n-1)}$
• F.$\frac{5n-5}{3(3n-1)}$

Answer: E

• A.none
• B.1 only
• C.2 only
• D.3 only
• E.1 and 2 only
• F.1 and 3 only
• G.2 and 3 only
• H.1, 2 and 3

Answer: C

• A.$a < 0, b < 0, c < 0$
• B.$a < 0, b < 0, c > 0$
• C.$a < 0, b > 0, c < 0$
• D.$a < 0, b > 0, c > 0$
• E.$a > 0, b < 0, c < 0$
• F.$a > 0, b < 0, c > 0$
• G.$a > 0, b > 0, c < 0$
• H.$a > 0, b > 0, c > 0$

Answer: E

• A.If bulb Z is on, then bulb X is off or bulb Y is on.
• B.If bulb Z is on, then bulb X is on and bulb Y is off.
• C.If bulb Z is on, then bulb X is on or bulb Y is on.
• D.If bulb Z is off, then bulb X is off and bulb Y is off.
• E.If bulb Z is off, then bulb X is on or bulb Y is off.
• F.If bulb Z is off, then bulb X is on and bulb Y is on.

Answer: F

• A.$\frac{60}{N} - 81$
• B.$\frac{3320}{N} - 81$
• C.$\frac{3420}{N} - 87$
• D.$87 - \frac{60}{N}$
• E.$81 + \frac{60}{N}$
• F.$87 + \frac{60}{N}$
• G.$81 + \frac{3320}{N}$

Answer: E