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Numeracy Intermediate June 2019 Unit 2 Q6

WJECIntermediateCurrent spec10 marksRoundingSetsUpper & Lower Bounds

6.

WALES V IRELAND

(a)

Rhian carried out a survey before an international rugby match.
She asked a number of Wales supporters how they travelled to the match.

Rhian displayed her results in a Venn diagram, as shown below.

Venn diagram with universal set and four circles Car, Bus, Train, Taxi. Car only 102, Car and Bus only 35, Bus only 78, Car and Train only 24, Car Train Taxi 1, Car Taxi only 3, Car Bus Taxi 15, Bus Taxi only 27, Train only 64, Train Taxi only 7, Taxi only 32, outside 15
(i)

How many of these supporters’ journeys included travel by both train and taxi?
Circle your answer. [1]

1     3     7     8     10

(ii)

How many of these supporters’ journeys included travel by car?
Circle your answer. [1]

19     78     102     180     195

(iii)

Calculate the percentage of the number of supporters in the survey whose journeys did not include any travel by car, bus, train, or taxi.
Give your answer correct to 1 decimal place. [4]

(b)

There were 71 532 supporters in the stadium watching the match.
A newspaper headline writes this number of supporters correct to 2 significant figures.
Which of the following numbers should appear in this headline?
Circle your answer. [1]

72     71 000     71 400     71 500     72 000

(c)

The rugby pitch at the stadium is measured.
On the diagram below, each measurement is given correct to the nearest 10 centimetres.

Rectangle ABCD for a rugby pitch: AB along the top, 70 m from B to C, 10 m sections at each end of the top edge and 100 m between the two inner lines along the bottom

Diagram not drawn to scale

What is the least possible length of AB?
Give your answer in metres.
You must show all your working. [3]

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