Numeracy Intermediate June 2019 Unit 1 Q3

(a) The total cost of the holiday was £660.

• Aled’s mother paid \(\dfrac{1}{3}\) of the total cost.
• Aled and Gareth shared the remaining cost in the ratio 1 : 9.

(b) Gareth’s luggage weighed 21·13 kg.
This was over the maximum of 20 kg allowed.

Gareth removed items from his luggage so that its mass was:

• as close to 20 kg as possible,
• not greater than 20 kg.

From the following list of items, which two items did Gareth remove?
You must show all your working. [3]

Coat	Headphones	Jumper	Book	Hat
820 g	300 g	320 g	340 g	200 g

(c) Before going on holiday, Aled made a conversion graph to help him understand prices in euros.

Use Aled’s conversion graph to answer the following questions.

(d) Gareth looked at exchange rates for buying euros.
He recorded the exchange rates for the previous 60 days, as shown below.

£1 = \(b\) euros	Frequency
\(1.00 \leqslant b \lt 1.04\)	2
\(1.04 \leqslant b \lt 1.08\)	8
\(1.08 \leqslant b \lt 1.12\)	16
\(1.12 \leqslant b \lt 1.16\)	33
\(1.16 \leqslant b \lt 1.20\)	1

Gareth started to draw a frequency diagram to show this information.